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Multiplexing

Multiplexing is a fundamental technique in telecommunications and data communications that enables multiple signals or data streams to share a single transmission medium efficiently by combining them at the source and separating them at the destination, thereby optimizing resource utilization and increasing capacity.^[1] This process, performed by a device called a multiplexer (MUX) for combining and a demultiplexer (DEMUX) for separating, is essential for modern networks where bandwidth is a critical and limited resource.^[2] The primary types of multiplexing include frequency-division multiplexing (FDM), which assigns distinct frequency bands to each signal to prevent interference; time-division multiplexing (TDM), which allocates specific time slots to signals in a repeating sequence; and wavelength-division multiplexing (WDM), which combines multiple light wavelengths in optical fibers for high-capacity transmission.^[3] Additional variants, such as code-division multiplexing (CDM), use unique codes to distinguish signals transmitted simultaneously over the same frequency band, as seen in spread-spectrum technologies.^[1] Space-division multiplexing (SDM) employs multiple parallel channels or spatial paths, often in advanced wireless or fiber systems, to further enhance throughput.^[1] Multiplexing underpins key applications in telephony, internet backbone networks, cable television, and wireless communications, enabling scalable data transfer from voice calls in traditional PSTNs to terabit-scale optical transport in contemporary infrastructures.^[1] Its evolution has been driven by the need to accommodate growing data demands, with techniques like dense WDM now supporting terabits per second in long-haul fiber links as of 2025.^[3]^[4]

Fundamentals

Definition and Basic Principles

Multiplexing is the process of combining multiple analog or digital signals into a single composite signal for transmission over a shared medium, thereby optimizing bandwidth usage and enabling efficient communication.^[1] This technique allows a single communication channel to carry several independent signals simultaneously, dividing the channel's capacity into logical subchannels.^[5] The basic principles involve aggregation at the transmitter via a multiplexer, which interleaves or modulates the input signals to form the composite signal, and separation at the receiver via a demultiplexer, which extracts the original signals without crosstalk.^[2] Central to this is the requirement for orthogonality among the signals, ensuring they can be distinguished and recovered independently despite sharing the medium, thus minimizing interference.^[1] A typical block diagram illustrates multiple input signals feeding into the multiplexer to produce one output for transmission, which is then demultiplexed at the destination to yield the separate signals again.^[2] Key benefits of multiplexing include enhanced transmission efficiency by maximizing resource utilization, reduced costs through fewer physical transmission lines or infrastructure, and the ability to support multiple users or data streams concurrently.^[5] Prerequisites encompass signal compatibility—either analog waveforms or digital bitstreams—and a common shared medium, such as copper wire, optical fiber, or radio frequency spectrum.^[1]

Historical Development

The concept of multiplexing originated in the late 19th century with efforts to transmit multiple telegraph signals over a single wire. In 1874, French engineer Émile Baudot patented a time-division multiplexing system that enabled simultaneous transmission of up to six telegraphic messages using a 5-bit code and synchronized distributors, marking a foundational advancement in efficient wire utilization.^[6]^[7] In the early 20th century, frequency-division multiplexing (FDM) emerged for telephony, building on carrier wave techniques. A key milestone was the 1910 demonstration by U.S. Army Signal Corps officer George O. Squier of carrier telephony, transmitting multiple voice channels over a single wire using different frequencies, which influenced AT&T's development of practical systems. By the 1930s, AT&T deployed the first commercial FDM system for long-distance calls, with the 1938 introduction of the 12-channel carrier system allowing 12 voice channels on open-wire lines within frequency bands of 36–84 kHz and 92–140 kHz for the two directions of transmission, significantly expanding network capacity.^[8]^[9] The mid-20th century saw a shift toward digital multiplexing through pulse-code modulation (PCM). In 1937, British engineer Alec H. Reeves conceived PCM as a noise-resistant method to digitize analog signals by sampling and quantizing them into binary codes, patenting it in 1938 while working at International Telephone and Telegraph Laboratories. This laid the groundwork for time-division multiplexing (TDM) in digital telephony. Commercial adoption accelerated in the 1960s, with AT&T's T1 carrier system entering service in 1962, multiplexing 24 voice channels at 1.544 Mbps using PCM and TDM over twisted-pair copper lines, revolutionizing digital transmission.^[10]^[11]^[9] Optical multiplexing advanced in the 1970s with the rise of fiber optics. The seminal proposal for wavelength-division multiplexing (WDM) appeared in 1970, when O. E. DeLange described wideband optical systems combining multiple wavelengths on a single fiber to exploit vast bandwidth, as detailed in a Proceedings of the IEEE article. Early experiments followed, but practical systems emerged later; by the 1990s, dense WDM (DWDM) was commercialized, with Ciena's MultiWave 1600, the first commercial 16-channel DWDM system in 1996, supporting up to 2.5 Gbps per channel for a total of 40 Gbps over erbium-doped fiber amplifiers, boosting fiber capacities from gigabits to terabits per second.^[12] In the 2010s, multiplexing extended to wireless domains with orbital angular momentum (OAM) modes. The first demonstration of OAM multiplexing for high-capacity free-space optical communication occurred in 2012, when researchers transmitted 1.36 Tbps over 1 meter using four OAM beams combined with polarization and wavelength multiplexing, as reported in Nature Photonics. This technique, leveraging helical phase fronts of light beams, gained traction for wireless applications in the 2020s, with ongoing integration into beyond-5G research for enhanced spectrum efficiency, though not yet standardized in 5G. This paved the way for space-division multiplexing in wireless systems, such as massive MIMO in 5G networks deployed since 2019. Code-division multiplexing also evolved digitally, with Qualcomm's 1989 public demonstration of a CDMA cellular system using spread-spectrum codes to multiplex multiple users on the same frequency, patented as U.S. Patent 4,901,307 in 1990, paving the way for IS-95 standards and widespread mobile adoption.^[13]

Core Techniques

Space-Division Multiplexing

Space-division multiplexing (SDM) is a technique that enables multiple signals to be transmitted simultaneously over a communication medium by allocating distinct physical paths to each signal channel, thereby preventing interference through spatial separation.^[14] This approach contrasts with other multiplexing methods by relying on physical isolation rather than dividing time or frequency resources.^[14] The fundamental principle of SDM involves using parallel transmission lines, such as separate wires, multi-core optical fibers, or arrays of antennas, to create independent channels for each signal.^[15] In these systems, each path operates without sharing the medium's spectrum or temporal slots, ensuring high isolation between channels as long as the physical separation is sufficient to minimize crosstalk.^[14] Early implementations of SDM involved bundling multiple parallel wires or cables to carry independent signals, as used in initial telephone and telegraph networks to increase capacity without sharing spectrum or time.^[16] In modern wireless systems, multiple-input multiple-output (MIMO) technology implements SDM by employing multiple antennas at both transmitter and receiver to support parallel spatial streams, significantly boosting data rates in environments like Wi-Fi and 4G/5G networks.^[14] In optical communications, recent advancements include space-division multiplexing with multi-core and multi-mode fibers; for instance, in December 2024, NTT demonstrated the world's first long-distance SDM optical transmission using 12-core fibers combined with wavelength multiplexing, achieving significant capacity increases for future networks.^[17] SDM offers advantages such as excellent signal isolation and straightforward implementation in scenarios with ample physical resources, leading to reliable parallel transmission.^[18] However, its limitations include high material costs due to the need for additional infrastructure and inefficiency in densely populated or resource-constrained environments, where expanding physical paths becomes impractical.^[14] The channel capacity in SDM systems follows from the Shannon-Hartley theorem, which states that the maximum reliable transmission rate for a single channel with bandwidth B and signal-to-noise ratio (SNR) is given by

C = B \log_2 (1 + \text{SNR}),

where C is in bits per second.^[19] To derive this, consider a noisy channel where the input signal power S and noise power N determine the SNR as S/N; the theorem maximizes mutual information over Gaussian input distributions, yielding the logarithmic form as the capacity limit to avoid errors exceeding a negligible rate. For N independent paths in SDM, assuming identical B and SNR per path and negligible crosstalk, the total capacity adds linearly as C_{\text{total}} = N \cdot B \log_2 (1 + \text{SNR}), scaling throughput proportionally with the number of spatial channels.^[19] A modern variant of SDM is space-division multiple access (SDMA), which extends the technique to cellular networks by using directional antennas or beamforming to spatially separate user signals within the same frequency band, enabling frequency reuse and higher network capacity in multi-user scenarios.^[18]

Frequency-Division Multiplexing

Frequency-division multiplexing (FDM) is a technique that enables multiple signals to share a single communication channel by assigning each signal a distinct, non-overlapping frequency sub-band within the total available bandwidth.^[20] This approach allows simultaneous transmission of analog signals over the shared medium without interference, provided the frequency allocations are properly managed.^[21] The core principles of FDM involve modulating each baseband signal onto a unique carrier frequency using techniques such as amplitude modulation (AM) or frequency modulation (FM), then combining these modulated signals into a composite waveform.^[22] At the receiver end, bandpass filters isolate the desired sub-band for demodulation. To prevent crosstalk between adjacent channels, small portions of unused bandwidth known as guard bands are inserted between the sub-bands.^[23] The total bandwidth required for n channels is given by B_{\text{total}} = \sum_{i=1}^{n} (B_i + G_i), where B_i is the bandwidth of the i-th signal and G_i is the guard band width.^[20] For each channel, the modulated signal can be expressed as s_i(t) = m_i(t) \cos(2\pi f_{c_i} t), where m_i(t) is the baseband message signal and f_{c_i} is the carrier frequency for the i-th channel.^[21] FDM finds application in various domains, including AM and FM radio broadcasting, where multiple stations operate on different carrier frequencies within the allocated spectrum, and early analog television signals that multiplexed video and audio on separate carriers.^[22] In optical communications, wavelength-division multiplexing (WDM) serves as a variant of FDM, utilizing different light wavelengths—corresponding to frequency bands in the optical domain—to transmit multiple data streams over a single fiber.^[24] One key advantage of FDM is its straightforward implementation for analog signals, requiring no synchronization between channels and enabling efficient use of bandwidth when multiple users transmit continuously.^[23] However, it is susceptible to noise and interference across the wide frequency range, demands significant overall bandwidth due to guard bands, and can suffer from crosstalk if filters are not precise.^[22] Historically, FDM played a pivotal role in 20th-century telephony, particularly from the 1930s onward, when telephone companies adopted it for long-haul transmission to multiplex multiple voice channels over coaxial cables and radio links, enabling efficient scaling of network capacity before the shift to digital methods.^[25]

Time-Division Multiplexing

Time-division multiplexing (TDM) is a digital multiplexing technique that interleaves multiple lower-speed signals into a single higher-speed channel by assigning each signal a discrete time slot within a repeating frame structure.^[26] This approach allows several independent data streams to share the bandwidth of a transmission medium efficiently, with the signals being transmitted sequentially in time rather than simultaneously. The core principle of TDM relies on precise synchronization between the transmitter and receiver, typically achieved through shared clock signals or framing bits that mark the boundaries of time slots.^[27] In synchronous TDM, each channel is allocated a fixed time slot in every frame, regardless of whether data is present, ensuring predictable timing but potentially wasting bandwidth on idle slots.^[28] Conversely, statistical TDM (also known as asynchronous TDM) dynamically assigns slots only to active channels based on data availability, improving utilization for bursty traffic at the cost of added overhead for addressing and buffering.^[29] Prominent examples of TDM include the T1 and E1 carrier systems used in telephony, where a T1 line employs synchronous TDM to combine 24 voice channels into a 1.544 Mbps stream, with each 125-microsecond frame containing 8-bit samples from each channel plus a framing bit.^[30] The Integrated Services Digital Network (ISDN) basic rate interface also utilizes TDM to multiplex a 16 kbps digital channel (D-channel) with bearer channels (B-channels) for voice and data over a 144 kbps link.^[28] In packet-switched networks, Asynchronous Transfer Mode (ATM) applies statistical TDM principles to multiplex fixed-size cells from variable-rate sources, enabling efficient handling of mixed traffic types like voice and video over high-speed links.^[31] TDM offers advantages such as high efficiency for digital signals, particularly in synchronous forms that support constant-bit-rate services, and flexibility for variable rates through statistical variants that reduce idle time.^[32] However, it has limitations, including the need for precise clock synchronization to prevent bit errors or data loss, and potential jitter—variations in inter-arrival times—that can degrade real-time applications if timing drifts occur.^[27] A key aspect of TDM performance is captured by the relationship between frame duration, slot duration, and channel bit rates. For a system with N channels, the frame duration T_\text{frame} equals the number of slots times the slot duration:

T_\text{frame} = N \times T_\text{slot}

This follows from the sequential allocation of fixed-length slots within each repeating frame, ensuring all channels are serviced periodically.^[27] The bit rate for the i-th channel is then given by

R_i = \frac{b_i}{T_\text{slot}}

where b_i is the number of bits allocated to that channel's slot. The total throughput of the multiplexed link is the sum of individual rates, \sum R_i, derived as the aggregate bits per frame divided by T_\text{frame}, which maximizes bandwidth usage when slots are fully utilized.^[33] A related variant is inverse multiplexing, which reverses the TDM process by dividing a high-speed data stream across multiple lower-speed parallel lines (often TDM-based) and recombining it at the receiver to achieve effective higher throughput, commonly used to bond channels for applications like video transmission.^[34]

Advanced Techniques

Polarization-Division Multiplexing

Polarization-division multiplexing (PDM) exploits the two orthogonal polarization states of light, such as horizontal and vertical, to transmit independent data streams within the same frequency band, thereby enhancing spectral efficiency in optical communications. This technique modulates separate signals onto each polarization component, allowing them to propagate simultaneously through a single optical channel without interference under ideal conditions. In practice, PDM is primarily applied in fiber-optic systems where signals are combined using polarization beam combiners at the transmitter and separated via polarization beam splitters or coherent detection at the receiver. Due to random polarization rotations caused by birefringence in standard single-mode fibers, digital signal processing (DSP) is essential to track and compensate for these effects, enabling reliable demultiplexing.^[35]^[36] In fiber-optic communications, PDM effectively doubles transmission capacity without requiring additional bandwidth or spectrum allocation, making it a key enabler for high-speed links. For example, it is widely integrated into coherent detection systems, where polarization-multiplexed quadrature phase-shift keying (PDM-QPSK) supports data rates of 100 Gb/s per wavelength by encoding 4 bits per symbol across both polarizations. This approach is particularly valuable in dense wavelength-division multiplexing (DWDM) networks, where PDM combines with other techniques to achieve terabit-scale aggregate capacities over long-haul distances.^[35]^[37] The primary advantage of PDM lies in its ability to double throughput in polarization-maintaining fibers or DSP-enabled systems, significantly improving bandwidth utilization—for instance, elevating spectral efficiency from 2 bits/symbol in standard QPSK to 4 bits/symbol. However, it is highly sensitive to polarization mode dispersion (PMD) and birefringence, which can introduce signal distortion, crosstalk, and a 3 dB penalty in optical signal-to-noise ratio (OSNR) over extended links. These limitations necessitate sophisticated polarization controllers and DSP, increasing system complexity and cost, while direct-detection implementations remain challenging and less common than coherent alternatives.^[36]^[38] PDM's theoretical foundation for capacity enhancement is captured in the Shannon-Hartley formula adapted for dual polarizations: C_{\text{total}} = 2 \times B \log_2(1 + \text{SNR}), where B is the bandwidth and SNR is the signal-to-noise ratio per polarization, assuming negligible crosstalk. Polarization states are mathematically represented using Jones vectors, \mathbf{E} = \begin{pmatrix} E_x \\ E_y \end{pmatrix}, where E_x and E_y denote the orthogonal components. Developmentally, PDM emerged prominently with coherent optics around 2007, facilitating the first commercial 100 Gb/s transponders by 2009 via PDM-QPSK at 28 Gbaud. It became a cornerstone of 100G Ethernet standards under IEEE 802.3ba-2010, enabling single-wavelength 100 Gb/s transmission in long-haul coherent DWDM systems and supporting over 600 deployments by 2014.^[35]^[37]

Orbital Angular Momentum Multiplexing

Orbital angular momentum (OAM) multiplexing utilizes twisted light beams, known as vortex beams, each carrying a distinct helical phase structure characterized by a topological charge l, an integer that can take values such as 0, ±1, ±2, and higher, to enable spatial mode division multiplexing. These beams possess an azimuthal phase dependence that imparts orbital angular momentum to photons, allowing multiple independent data channels to be transmitted simultaneously over the same frequency band without interference. The orthogonality of OAM modes arises from their distinct phase patterns, which permits efficient separation at the receiver using techniques such as mode sorters, computational methods, or phase-correcting holograms.^[39] The phase structure of an OAM beam is described by \phi = l \theta, where \theta is the azimuthal angle and l is the topological charge. The radial intensity profile for a basic OAM mode follows I(r, \theta) = |[J_l](/page/Bessel_function)(kr)|^2, with J_l denoting the Bessel function of the first kind and k the wave number. This ensures mode orthogonality, formalized by the integral \int \psi_l^* \psi_m \, dA = \delta_{lm}, where \psi_l and \psi_m are the field distributions of modes with charges l and m, and \delta_{lm} is the Kronecker delta, confirming zero overlap between distinct modes.^[40] The first experimental demonstration of OAM multiplexing for optical data transmission occurred in 2011, achieving a free-space link using two OAM modes to transmit data over short distances. Subsequent advancements rapidly scaled capacities, with a landmark 2012 experiment demonstrating terabit-scale transmission by multiplexing eight OAM modes alongside wavelength and polarization division, achieving 1.36 Tb/s over 2.5 m in free space. In radio frequency applications, OAM has been applied to boost wireless capacity, such as in millimeter-wave links for uncompressed video transmission. As of 2025, OAM multiplexing is actively researched for 6G networks, integrating with MIMO systems to enhance spectral efficiency in THz and mm-wave bands for high-capacity backhaul. For example, in March 2025, NTT, DOCOMO, and NEC demonstrated a 140 Gbps wireless transmission using OAM mode multiplexing for potential 6G backhaul applications.^[39]^[41]^[42]^[43] OAM multiplexing offers significant advantages, including the potential to support dozens of orthogonal modes for substantial capacity gains—exemplified by a 2014 demonstration achieving 1.036 Pb/s using 26 OAM modes combined with wavelength-division multiplexing—while maintaining compatibility with existing optical infrastructure. However, limitations include sensitivity to atmospheric turbulence, which induces mode crosstalk and beam distortion in free-space links, and challenges in generating and detecting high-order modes efficiently over long distances. Mitigation strategies, such as adaptive optics, are under development to address these issues for practical deployment.^[39]^[40]^[44]

Code-Division Multiplexing

Code-division multiplexing (CDM) is a technique that enables multiple signals to share the same communication channel by spreading each signal across the entire available bandwidth using unique pseudo-random code sequences, allowing their overlap without interference upon proper despreading.^[45] This approach contrasts with other multiplexing methods by relying on code orthogonality rather than separation in time, frequency, or space domains.^[46] The core principle of CDM involves direct-sequence spread spectrum (DSSS), where the original data signal is multiplied by a high-rate pseudo-noise (PN) code sequence, expanding its bandwidth significantly before transmission.^[45] At the receiver, the intended signal is recovered by correlating the received waveform with the matching code, while other signals appear as noise due to low cross-correlation. Orthogonal codes, such as Walsh-Hadamard codes for synchronous systems or Gold codes for asynchronous scenarios, ensure minimal interference by achieving near-zero cross-correlation when aligned.^[47] For instance, Walsh codes provide perfect orthogonality in bipolar signaling, with cross-correlation defined as

R(\tau) = \int c_1(t) c_2(t + \tau) \, dt \approx 0

for distinct codes c_1 and c_2 over the integration period.^[45] The spreading factor SF, which quantifies the bandwidth expansion, is given by SF = chip rate / data rate, and the associated processing gain G_p = 10 \log_{10}(SF) enhances the signal-to-noise ratio by suppressing interference.^[45] A prominent example of CDM is the IS-95 standard, which employs DSSS with Walsh codes for channelization and long PN sequences for user separation in second-generation mobile phone networks, supporting voice and low-rate data services.^[48] In optical networks, optical CDMA (OCDMA) applies similar principles using unipolar codes like optical orthogonal codes (OOCs) to enable asynchronous, bursty data transmission over fiber, as demonstrated in early photonic implementations achieving multi-Gb/s aggregate rates.^[49] CDM offers advantages such as robustness against narrowband interference and multipath fading due to the wideband spreading, which provides a processing gain that improves signal recovery in noisy environments.^[46] It also enables flexible capacity allocation, as the system can support varying numbers of users by adjusting code lengths without rigid partitioning of resources.^[50] However, CDM suffers from higher implementation complexity owing to the need for precise code synchronization and multiuser detection algorithms, and it is susceptible to the near-far problem, where strong nearby signals overwhelm weaker distant ones, potentially degrading performance unless mitigated by power control.^[51] A key variant is multi-carrier CDMA (MC-CDMA), which combines DSSS with orthogonal frequency-division multiplexing (OFDM) by spreading each data symbol across multiple subcarriers using orthogonal codes, thereby exploiting frequency diversity to combat channel impairments while maintaining CDM's interference resistance.^[52]

Multiple Access Methods

Multiple access methods represent an extension of multiplexing techniques, enabling multiple users to share a common communication medium by allocating distinct resources such as frequency bands, time slots, or codes. Unlike pure multiplexing, which combines signals for transmission over a single link, multiple access focuses on coordinating access among independent users in a network, preventing interference and ensuring fair resource utilization. Key examples include frequency-division multiple access (FDMA), which assigns separate frequency channels to each user; time-division multiple access (TDMA), which divides the channel into sequential time slots; and code-division multiple access (CDMA), which uses unique orthogonal codes to distinguish user signals transmitted simultaneously over the same spectrum.^[53]^[54] The principles of multiple access can be categorized into centralized and distributed approaches, with multiplexing serving as the foundational technology for resource division. In centralized methods, a base station or controller assigns resources dynamically based on user demands, as seen in scheduled systems like TDMA and FDMA, which provide predictable access but require coordination overhead. Distributed methods, such as contention-based protocols, allow users to compete for the medium without a central authority, relying on mechanisms like carrier sensing to resolve conflicts, though this can lead to inefficiencies under high load. These principles build directly on core multiplexing techniques like frequency-division multiplexing (FDM) or time-division multiplexing (TDM) to enable scalable multi-user environments.^[55]^[56] Historical examples illustrate the application of these methods in cellular networks. FDMA was foundational in first-generation (1G) analog systems, such as the Advanced Mobile Phone System (AMPS), where the available spectrum was partitioned into fixed frequency channels for voice calls. TDMA underpinned second-generation (2G) digital networks like the Global System for Mobile Communications (GSM), dividing each 200 kHz carrier into eight time slots to support multiple users per channel. CDMA dominated third-generation (3G) systems, including cdma2000 and Wideband CDMA (W-CDMA), allowing all users to share the full bandwidth simultaneously via spread-spectrum coding for improved capacity. Orthogonal frequency-division multiple access (OFDMA), an evolution of CDMA, became central to fourth-generation (4G) Long-Term Evolution (LTE) and fifth-generation (5G) networks, allocating subcarriers dynamically to users for high-data-rate services.^[57]^[58]^[59]^[60] Multiple access methods offer significant advantages in scalability, allowing networks to support growing numbers of users by efficiently partitioning shared resources, but they also introduce limitations such as access control overhead from synchronization, guard intervals, and signaling. For instance, while these techniques enhance spectrum utilization and enable concurrent transmissions, the overhead can reduce effective throughput, particularly in distributed schemes prone to collisions. In TDMA, frame overhead from preambles and guard times further impacts performance, necessitating careful design to balance user capacity and reliability.^[61]^[62] Access efficiency in multiple access systems is often quantified as \eta = \frac{C - O}{C}, where C is the total channel capacity and O is the overhead due to control signaling or idle periods. In TDMA, for example, frame efficiency considers the ratio of useful data bits to total bits, including overhead from synchronization bursts and guard times; in a typical GSM frame, this can yield \eta \approx 0.85 to 0.90, depending on slot allocation, highlighting how overhead limits peak utilization despite the method's structured nature.^[63]^[64] The evolution of multiple access began with the ALOHA protocol in the early 1970s, a pioneering distributed random-access scheme developed for packet radio networks at the University of Hawaii, which allowed uncoordinated transmissions but suffered from low throughput due to collisions. This laid the groundwork for subsequent advancements, progressing through FDMA and TDMA in early cellular eras to CDMA in the 1990s for better interference rejection, and culminating in OFDMA for modern broadband wireless systems, which combines multi-user diversity with fine-grained resource allocation for enhanced efficiency.^[65]^[66]^[67]

Demultiplexing Processes

Demultiplexing is the inverse process of multiplexing, whereby a composite signal is separated into its original constituent signals using specialized techniques to ensure accurate recovery at the receiver end. This extraction relies on components such as bandpass filters for frequency-based separation, precise clocks for time-slot allocation, or decoders for code-based isolation, depending on the multiplexing scheme. The goal is to reconstruct each signal with minimal interference, enabling efficient data distribution in communication systems.^[68]^[69] Demultiplexing principles are directly matched to the corresponding multiplexing type to achieve effective signal isolation. In frequency-division multiplexing (FDM), demultiplexers employ bandpass filters to select narrow frequency ranges around each carrier, suppressing adjacent channels to prevent overlap. For time-division multiplexing (TDM), the process involves synchronization with the transmitter's clock to identify and extract data from specific time slots, often using framing bits for alignment. In wavelength-division multiplexing (WDM), optical demultiplexers leverage dispersive elements to route signals of different wavelengths to separate outputs. These matched approaches ensure fidelity but require precise engineering to handle varying signal characteristics.^[70]^[71] Practical implementations highlight demultiplexing's role in real systems. Arrayed waveguide gratings (AWGs) serve as key demultiplexers in optical switches for WDM networks, where an array of waveguides with incremental length differences creates phase shifts that diffractively separate wavelengths, directing each to a dedicated port with channel spacings as fine as 0.4 nm. In digital routers, demultiplexers operate at the transport layer to parse incoming packets using port numbers, routing them to the correct applications or endpoints and thereby separating multiplexed data streams efficiently. These examples demonstrate demultiplexing's versatility in both analog and digital domains.^[72]^[73] While demultiplexing maintains low crosstalk to preserve signal quality, it introduces processing latency and increases hardware costs due to the need for high-precision components. The crosstalk ratio is quantified as CT = \frac{P_{\text{leak}}}{P_{\text{signal}}} (expressed in dB as $10 \log_{10} CT), where P_{\text{leak}} represents the power of unwanted signal leakage into a channel and P_{\text{signal}} is the desired signal power; this metric directly influences system performance by degrading the effective signal-to-noise ratio (SNR). The resulting impact on bit error rate (BER) can be approximated as \text{BER} \approx Q\left( \sqrt{ \frac{2 \cdot \text{SNR}}{1 + CT} } \right), where Q is the tail probability of the standard normal distribution, highlighting how even low crosstalk levels can elevate error probabilities in high-speed links.^[74]^[75] Significant challenges in demultiplexing arise from synchronization loss, especially in TDM, where clock drift or jitter can misalign slots, leading to data corruption or loss if framing fails to restore timing. In high-capacity optical systems, nonlinear effects such as four-wave mixing exacerbate issues by generating inter-channel interference during demultiplexing, reducing separation efficiency and amplifying crosstalk in dense WDM setups. Addressing these requires robust synchronization protocols and nonlinear compensation algorithms to sustain reliable operation.^[76]^[77]

Applications

In Telecommunications

Multiplexing plays a fundamental role in telecommunications by enabling the simultaneous transmission of multiple voice and data signals over shared media such as copper wires, optical fibers, and radio frequencies, thereby optimizing bandwidth usage and supporting efficient network infrastructure.^[78] In copper-based systems like the public switched telephone network (PSTN), frequency-division multiplexing (FDM) and time-division multiplexing (TDM) have historically combined analog and digital signals to aggregate multiple channels, while in fiber optics, wavelength-division multiplexing (WDM) allows diverse data streams to travel on different light wavelengths within a single fiber.^[79] For radio systems, spatial multiplexing techniques enhance capacity by exploiting multiple propagation paths.^[80] In legacy PSTN applications, FDM grouped up to 12 voice calls per trunk in early carrier systems, evolving to TDM in digital formats like the T1 line, which multiplexes 24 channels at 64 kbps each for a total of 1.544 Mbps, facilitating reliable voice transmission over copper.^[81]^[82] In modern optical submarine cables, WDM has enabled terabit-per-second capacities since the early 2000s, with dense WDM (DWDM) systems increasing the average capacity of undersea cables from around 25 Tbps in 2014 to over 60 Tbps by 2019 through multiple wavelength channels.^[83] For emerging wireless networks, multiple-input multiple-output (MIMO) combined with orbital angular momentum (OAM) multiplexing in 5G and 6G supports spatial reuse by transmitting independent data streams on orthogonal modes, improving spectral efficiency in dense urban environments.^[84]^[85] Specific standards like Synchronous Optical Networking (SONET) and Synchronous Digital Hierarchy (SDH) implement TDM hierarchies for metropolitan area networks, aggregating lower-rate signals into high-speed optical trunks with built-in protection mechanisms to ensure 99.999% availability for voice and data transport.^[86] In access networks, Gigabit Passive Optical Network (GPON) uses TDM and WDM to deliver broadband services over fiber, supporting downstream rates up to 2.488 Gbps shared among multiple users via passive splitters.^[87] The adoption of multiplexing has profoundly impacted global connectivity by scaling transmission capacities from kilobits per second in early telephony to terabits per second in contemporary fiber systems, underpinning the expansion of international bandwidth to 466 Tbps by 2020 and approximately 1,835 Tbps as of September 2025, enabling seamless worldwide voice and data exchange.^[88]^[89] Despite these advances, challenges such as spectral efficiency limits in crowded frequency bands persist, particularly in wireless multiplexing, where interference and resource allocation constrain throughput; hybrid techniques, including combined MIMO and precoding, address this by optimizing signal processing to boost efficiency without excessive hardware demands.^[90]

In Broadcasting and Media

In broadcasting and media, multiplexing enables the combination of multiple audio, video, and data channels into a single transmission signal for efficient delivery over-the-air, cable, or satellite systems, optimizing limited spectrum resources to support diverse programming. This process has been fundamental since the mid-20th century, allowing broadcasters to deliver simultaneous content streams while maintaining compatibility with existing receivers. For instance, in analog systems, frequency-division multiplexing (FDM) was widely used to integrate additional signals without disrupting primary content.^[91] A classic example of analog FDM in audio broadcasting is FM stereo transmission, where the left-minus-right (L-R) audio difference signal modulates a 38 kHz subcarrier, accompanied by a 19 kHz pilot tone to enable stereo decoding, all frequency-multiplexed onto the main FM carrier around 88-108 MHz. This technique, standardized in the 1960s, extended monaural FM broadcasts to stereo without requiring new spectrum allocations. Similarly, in analog television, the NTSC color system employed subcarrier multiplexing at 3.579545 MHz to embed chrominance (color) information alongside the luminance (brightness) signal, ensuring backward compatibility with black-and-white receivers by placing the color subcarrier in a spectral notch above the luminance bandwidth.^[92] Digital multiplexing has revolutionized media distribution by shifting to more efficient time-division multiplexing (TDM) and orthogonal frequency-division multiplexing (OFDM) variants. In digital video broadcasting-terrestrial (DVB-T), MPEG-2 transport streams serve as the container format, packetizing and interleaving multiple elementary streams of compressed audio, video, and data (e.g., subtitles or program guides) into a single multiplex for transmission. This allows robust delivery using coded OFDM (COFDM), which divides the signal into thousands of closely spaced subcarriers (e.g., 1,705 to 6,817 in DVB-T), with guard intervals and forward error correction to combat multipath interference and enable single-frequency networks for wide-area coverage. For next-generation systems like ATSC 3.0 in the United States, IP-based multiplexing over broadcast uses layered division multiplexing (LDM) to layer services, supporting IP packet delivery for interactive content, such as targeted ads or datacasting, within the same 6 MHz channel. COFDM's error resilience, achieved through convolutional coding, Reed-Solomon outer coding, and interleaving, ensures reliable reception in mobile or obstructed environments.^[93]^[94]^[95] The impacts of multiplexing in broadcasting are profound, enabling the expansion from single-channel analog services to multichannel digital offerings; for example, satellite TV systems using quadrature phase-shift keying (QPSK) modulation with TDM can deliver over 100 HD channels per satellite transponder cluster, supporting high-definition multi-programme services at bit rates up to 45 Mbit/s per 27-36 MHz channel. This capacity has facilitated the proliferation of direct-to-home (DTH) platforms, allowing operators to bundle dozens of HD video streams, audio, and data services efficiently. By the 2020s, the industry has largely transitioned from analog FDM—susceptible to noise and limited in capacity—to digital TDM and OFDM-based systems like DVB-T2 and ATSC 3.0, driven by spectrum efficiency gains of up to fivefold and the global analog switch-off completed in most regions by 2015-2020, paving the way for 4K/8K and IP-hybrid broadcasting.^[96]^[91]

In Computing and Data Networks

In computing and data networks, multiplexing facilitates the efficient aggregation and sharing of bandwidth among multiple data streams, primarily through statistical multiplexing in packet-switched architectures. This technique segments data into packets that are transmitted opportunistically over shared links, leveraging traffic variability to achieve higher utilization rates compared to fixed-slot methods. Statistical multiplexing assumes not all flows burst simultaneously, enabling resource savings that underpin the internet's growth from early 10 Mbps Ethernet LANs in the 1980s to contemporary 400 Gbps data center interconnects.^[97]^[98]^[99]^[100] A key example is Ethernet Virtual Local Area Network (VLAN) tagging under IEEE 802.1Q, which multiplexes multiple logical broadcast domains over a single physical Ethernet infrastructure by inserting a 4-byte tag into frame headers to identify VLAN membership. This allows network segmentation for security and efficiency without additional cabling.^[101]^[102] Multiprotocol Label Switching (MPLS) provides another form of multiplexing via short labels attached to packets, enabling routers to forward traffic along predefined paths while aggregating flows into label-switched paths for scalable virtual private networks and traffic engineering.^[103]^[104] Software-Defined Wide Area Networks (SD-WAN) employ virtual overlays to multiplex application traffic across heterogeneous underlay connections, such as MPLS and broadband internet, using centralized controllers to dynamically route and prioritize flows for optimized performance and cost.^[105] At the transport layer, TCP/IP achieves multiplexing through port numbers, which allow multiple application-layer connections to share a single IP address by distinguishing endpoints in segment headers, supporting concurrent sessions on hosts.^[106]^[107] Link aggregation, governed by the IEEE 802.1AX standard and its Link Aggregation Control Protocol (LACP), multiplexes multiple parallel physical links into a single logical interface, increasing bandwidth and providing fault tolerance through load balancing and dynamic member negotiation.^[108]^[109] Contemporary advancements include Network Function Virtualization (NFV), which uses software-based multiplexers to virtualize and chain network functions like firewalls and routers on general-purpose servers, enabling scalable deployment and resource sharing in carrier-grade environments.^[110]^[111]

Other Uses

In Biology and Chemistry

In biology and chemistry, multiplexing enables the simultaneous detection or analysis of multiple analytes, such as DNA sequences, proteins, or cellular markers, within a single experimental workflow, thereby enhancing throughput and efficiency in high-throughput screening applications. This approach combines various molecular reactions or probes into one assay, allowing researchers to process large numbers of samples or targets concurrently while minimizing reagent use and experimental time.^[112] A prominent example in molecular biology is multiplex polymerase chain reaction (PCR), which amplifies several distinct DNA targets using multiple primer pairs in a single reaction tube, enabling the detection of genetic variations or pathogens with high specificity. Developed as a practical extension of standard PCR, this technique has become essential for diagnostics and research, such as identifying multiple infectious agents from clinical samples.^[113] In cellular analysis, flow cytometry utilizes fluorescent multiplexing, where antibodies conjugated to different fluorophores label multiple cell surface or intracellular markers, permitting multiparametric profiling of thousands of cells per second to study immune responses or disease states.^[114] In chemical contexts, DNA microarrays facilitate multiplexing by immobilizing thousands of oligonucleotide probes on a solid substrate, allowing simultaneous hybridization and detection of gene expression patterns across entire genomes in one experiment. This has revolutionized transcriptomics, with chips capable of assaying over 10,000 genes at once. Similarly, quantum dots—semiconductor nanocrystals with size-tunable emission spectra—enable spectral multiplexing in bioimaging and assays, where multiple colors are used to tag different biomolecules without spectral overlap, improving signal resolution in multiplexed detection of proteins or nucleic acids.^[115]^[116] Multiplexing has profoundly impacted genomics and diagnostics; for instance, in next-generation sequencing platforms like Illumina's, sample barcoding allows pooling of hundreds of libraries for parallel sequencing, accelerating genomic studies and significantly reducing per-sample costs compared to non-multiplexed runs. Techniques such as molecular barcoding, where unique nucleotide sequences are appended to analytes for post-assay separation, further support this by enabling demultiplexing akin to code-division methods, ensuring accurate attribution in complex mixtures and lowering diagnostic expenses in clinical settings. Recent advances include spatial multiplexing in proteomics, enabling highly multiplexed imaging of proteins in tissues to study spatial biology, as recognized in methodological developments of 2024.^[117]^[118]^[119]^[120]

In Electronics and Control Systems

In electronics and control systems, multiplexing refers to the process of selectively switching multiple input signals to a single output or routing a single input to multiple outputs using hardware circuits, enabling efficient signal management in devices such as integrated circuits and automation setups.^[121] This technique is fundamental in reducing the complexity of wiring and interconnects by allowing a shared communication path for diverse signals, whether analog or digital. Analog multiplexers, for instance, handle continuous signals like those from sensors, while digital multiplexers manage binary data streams.^[122] A prominent example of an analog multiplexer is the 74HC4051 integrated circuit, a single-pole eight-throw (SP8T) switch that connects one of eight analog inputs to a common output, commonly used for sensor selection in data acquisition systems.^[123] This IC operates at voltages from 2 V to 10 V and features low on-resistance (typically 70 Ω), making it suitable for multiplexing signals up to ±5 V without distortion.^[124] In digital applications, multiplexers play a key role in central processing units (CPUs), where they select inputs for the arithmetic logic unit (ALU); for example, a multiplexer routes data from registers or memory to the ALU based on control signals, enabling operations like addition or bitwise logic.^[125] Such selection ensures the ALU processes only the required operands, optimizing computational efficiency.^[126] In control systems, multiplexing facilitates remote input/output (I/O) management, as seen in Supervisory Control and Data Acquisition (SCADA) setups where devices like Modbus multiplexers aggregate data from multiple remote sensors over a single communication link, such as Ethernet or serial lines.^[127] This approach supports polling from multiple master terminal units to the same set of remote devices, enhancing system reliability in industrial automation.^[128] Similarly, in automotive electronics, the Controller Area Network (CAN) bus employs priority-based arbitration for multiple access, allowing electronic control units (ECUs) to share a bus for transmitting prioritized frames at data rates up to 1 Mbps; modern variants like CAN FD extend these rates up to 8 Mbps while maintaining compatibility.^[129]^[130] The impacts of multiplexing in these domains include significant reductions in wiring complexity for programmable logic controllers (PLCs), where multiplexers consolidate multiple I/O signals onto fewer lines, cutting installation costs and improving reliability in harsh environments.^[131] In Internet of Things (IoT) sensor networks, it enables scalable connectivity by sharing transmission media among numerous devices, as demonstrated in time-division multiplexing schemes that combine power and data delivery over optical fibers, supporting dense deployments without excessive cabling.^[132] For scalability, tree-structured multiplexers organize switches in a hierarchical tree topology, where intermediate nodes fan out to subtrees, mitigating fan-out limits (typically 4-8 due to capacitive loading) and allowing expansion to hundreds of channels while maintaining signal integrity.^[133]

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Multiplexing. IP provides a facility for delivering packets to hosts. However, we often want to deliver data to applications running on a given host.
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IEEE Std 802.1AX - Link Aggregation
May 29, 2020 · Abstract: Link Aggregation allows parallel point-to-point links to be used as if they were a single link and also supports the use of multiple ...
[106]
Link Aggregation Control Protocol - IEEE 802
Mar 7, 1999 · The mux control machine attaches and detaches a physical port to and from an aggregate ports, and turns the distribution and collection on or ...
[107]
[PDF] ETSI GS NFV 001 V1.1.1 (2013-10)
Oct 10, 2013 · Virtualised Network Functions from multiple Service Providers may coexist within the same NFV infrastructure. The. NFV infrastructure shall ...
[108]
[PDF] Network Functions Virtualisation (NFV) - ETSI Portal
Feb 21, 2017 · The goal is to maximise efficient use of resources through a finer-‐grained multiplexing on the infrastructure, and to be amenable to advanced ...
[109]
High-throughput cell analysis using multiplexed array technologies
Here, we compare array strategies being developed towards the goal of integrating multiplexed cell-based assays into HTS.
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Advances in multiplex PCR: balancing primer efficiencies and ... - NIH
Introduction. Multiplex PCR systems are increasingly used in biological and medical studies as they allow simultaneous amplification of several DNA fragments ...
[111]
Flow Cytometry: An Overview - PMC - NIH
Flow cytometry is a technology that provides rapid multi-parametric analysis of single cells in solution.
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DNA analysis with multiplex microarray-enhanced PCR - PMC - NIH
Jan 20, 2005 · We have developed a highly sensitive method for DNA analysis on 3D gel element microarrays, a technique we call multiplex microarray-enhanced ...
[113]
Luminescent quantum dots for multiplexed biological detection and ...
Feb 1, 2002 · This review focuses on the synthesis, optical properties, surface chemistry, and biological applications of semi-conductor nanocrystals, also known as quantum ...
[114]
Next-Generation Sequencing Technology: Current Trends and ... - NIH
Next-generation sequencing (NGS) is a powerful tool used in genomics research. NGS can sequence millions of DNA fragments at once.
[115]
Pre-capture multiplexing improves efficiency and cost-effectiveness ...
Nov 14, 2012 · Pre-capture multiplexing reduced costs for TGE by at least 38% and significantly reduced hands-on time during the TGE protocol. We found that ...
[116]
Exploiting Molecular Barcodes in High-Throughput Cellular Assays
Here we review the basic principles of several technologies used to create barcodes and detail the type of samples that can be identified with such tags.
[117]
The Multiplexer (MUX) and Multiplexing Tutorial - Electronics Tutorials
The multiplexer, shortened to “MUX” or “MPX”, is a combinational logic circuit designed to switch one of several input lines through to a single common output ...
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[PDF] Precision Multiplexers Reducing Barriers in an Industrial Environment
Multiplexers help reduce the overall number of components and usually is a step just before the signal conditioning circuit.
[119]
[PDF] 74HC4051; 74HCT4051 - Nexperia
Mar 21, 2024 · The 74HC4051; 74HCT4051 is a single-pole octal-throw analog switch (SP8T) suitable for use in analog or digital 8:1 multiplexer/demultiplexer ...
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[PDF] CD74HC4051-EP Analog Multiplexer and Demultiplexer
Interfacing TTL open-collector outputs to HC-CMOS inputs requires design of pullup circuit balanced with drive capability to achieve timing and VOL-HC input ...
[121]
[PDF] Designing a CPU - cs.Princeton
•Dual-ported to support connecting two different registers to ALU. •Input MUX to support input connection to ALU, memory, IR, PC. 26 to ALU (out) to memory ...<|separator|>
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ALU | CircuitVerse
The multiplexer selects only one operation at a time. The operation selected depends on the selection lines of the multiplexer as shown in the truth table.
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SCADALink IP100 SCADA Terminal Server / Modbus Multiplexer ...
The SCADALink IP100 is a Serial-to-Ethernet Gateway, Multiport Industrial Terminal Server and Modbus Multiplexer designed for SCADA and automation applications.
[124]
Hydra - A DNP3 multiplexing platform for SCADA system switchover
We have developed a communications multiplexing system, Hydra, that allows for several Master Terminal Units (MTU) to poll telemetry data from the same set of ...
[125]
[PDF] AN5878 - How to design a robust automotive CAN system
Nov 22, 2022 · CAN, controller area network, protocol allows serial half-duplex multimaster communication between various. ECUs through a multiplexed bus.
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Multiplexers: How Do They Work? (Circuit of 2 to 1, 4 to 1, 8 to 1 MUX)
Sep 27, 2020 · A multiplexer reduces the number of wires used. Hence it reduces the circuit complexity and overall cost. A multiplexer improves the ...
[127]
Time-Division Multiplexing for Power and Data Transmission on ...
Mar 21, 2022 · This article proposes a time-division multiplexing control algorithm and a circuit design to share the same laser diode and photodiode for power ...
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Tree vs Conventional MUX Architectures | Pickering Knowledgebase
Discover the advantages of Tree and Conventional MUX architectures. Learn when to use each for bandwidth, cost, and performance optimization.Missing: scalability fan-