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Hybrid automatic repeat request

Hybrid automatic repeat request (HARQ) is an error-control mechanism in wireless communications that integrates (FEC) with (ARQ) to ensure reliable data transmission over error-prone s by detecting errors and selectively retransmitting packets with added redundancy. HARQ operates primarily at the physical and layers, employing (CRC) bits attached to transport blocks for error detection at the receiver. Upon detecting errors, the receiver sends a negative (NACK) via an channel, triggering the transmitter to retransmit the affected block. Unlike pure ARQ, which retransmits identical packets, HARQ enhances efficiency through soft combining, where the receiver merges the original and retransmitted data—either via Chase combining (repeating the same encoded bits for improvement) or incremental redundancy (IR) (sending additional parity bits to incrementally increase the effective coding rate). This combination reduces retransmission overhead and improves throughput, particularly in fading channels. HARQ schemes are classified into three main types based on redundancy handling: Type I discards erroneous blocks and retransmits the full original packet without combining; Type II stores soft values from failed receptions and adds new parity bits for , enabling higher initial coding rates but requiring more memory; and Type III, similar to Type II, but ensures each retransmission is independently decodable for added flexibility. Simulations in early standards showed Type III achieving up to double the throughput of Type I in favorable conditions, while Type II excels in time-division duplex (TDD) modes by adapting to variable radio environments. Introduced in the late 1990s for third-generation () systems like , HARQ has evolved significantly in subsequent standards. In High-Speed Downlink Packet Access (HSDPA), it supports fast retransmissions with up to eight processes per () to minimize latency. For (), HARQ uses for FEC and operates asynchronously in the downlink with synchronous uplink, enabling multiple parallel processes (8 in frequency-division duplex mode) for pipelined transmissions. In 5G New Radio (NR), HARQ leverages low-density parity-check (LDPC) codes, supports up to 16 processes per cell, and incorporates enhancements like adaptive feedback and reduced round-trip times (as low as 2 slots) to meet ultra-reliable low-latency communication requirements. These advancements make HARQ essential for high-data-rate applications, balancing reliability, , and low delay in modern mobile networks.

Fundamentals

Definition and Principles

Hybrid automatic repeat request (HARQ) is an error control mechanism that integrates forward error correction (FEC) coding with automatic repeat request (ARQ) protocols to detect, correct, and recover from errors in transmitted data packets over unreliable channels, such as wireless links. This hybrid approach enables the receiver to attempt error correction using FEC on the initial transmission and, if unsuccessful, to request retransmissions via ARQ while potentially combining redundant information from multiple attempts to improve decoding success. In its basic operation, the transmitter encodes data packets with both FEC (e.g., convolutional or ) for error correction and a (CRC) for error detection before sending the initial transmission. Upon reception, the receiver first performs CRC to detect errors; if no errors are found, the packet is accepted and an (ACK) is sent. If errors are detected, a negative acknowledgment (NACK) triggers an ARQ retransmission, which may include the same packet or additional bits to enhance the effective code rate and aid decoding. This process leverages the proactive correction of FEC with the reactive recovery of ARQ, adapting to channel conditions without always requiring full retransmissions. HARQ enhances system performance by improving throughput and reliability in variable channel environments, as it exploits both FEC's ability to correct burst errors and ARQ's feedback for targeted recovery, outperforming pure ARQ in error-prone scenarios by reducing the number of full retransmissions and associated latency. For instance, in fading channels common to mobile communications, HARQ achieves higher compared to standalone ARQ mechanisms like stop-and-wait, while avoiding the fixed overhead of excessive FEC in pure schemes. The concept of HARQ was first proposed by Comroe and Costello in their 1984 work on combining convolutional codes with ARQ for systems, marking a foundational advancement in adaptive . However, HARQ introduces trade-offs, offering greater reliability through at the potential cost of overhead in low--rate channels, where the added FEC reduces effective throughput without frequent occurrences.

Comparison to ARQ and FEC

Pure automatic repeat request (ARQ) protocols rely on error detection mechanisms, such as cyclic redundancy check (CRC), to identify corrupted packets and trigger retransmission of the entire packet. This approach is simple and reliable but becomes inefficient in channels with high error rates, as the repeated transmission of full payloads leads to reduced throughput and wasted bandwidth. In contrast, standalone forward error correction (FEC) incorporates redundancy into the transmitted signal upfront to enable error correction at the receiver without requiring feedback. While FEC maintains a constant throughput independent of channel conditions, it over-provisions redundancy in low-error environments, squandering spectral resources, and may fail to recover data in highly erroneous channels unless excessively low coding rates are used. Hybrid automatic repeat request (HARQ) addresses these shortcomings by integrating FEC with ARQ, enabling adaptive error control: FEC corrects minor errors in initial transmissions, while ARQ initiates retransmissions only for uncorrectable cases, often combining prior receptions for enhanced decoding. This synergy yields superior , particularly in fading channels where error rates vary, with simulations showing throughput gains of up to 3.6 dB at a 10% block error rate (BLER) compared to pure ARQ. Despite these benefits, HARQ introduces greater complexity in encoding and decoding processes, such as buffering soft decision values for combining, and may incur additional from feedback signaling and retransmission rounds, though these are mitigated in modern implementations like those in standards.

Types of Hybrid ARQ

Type I Hybrid ARQ

Type I Hybrid ARQ represents the most straightforward implementation of hybrid techniques, combining (FEC) with (ARQ) in a non-incremental manner. In this scheme, every —initial or subsequent retransmission—encodes the entire packet using a fixed-rate FEC code, such as convolutional or , alongside error detection mechanisms like cyclic redundancy checks (). The transmitter sends the fully encoded packet, and upon receipt, the attempts FEC decoding to correct errors. If the error detection code indicates uncorrectable errors, the receiver discards the packet entirely and issues a negative (NACK) to trigger retransmission of an identical encoded copy. A defining characteristic of Type I Hybrid ARQ is the absence of incremental sharing across retransmissions, where the processes each packet independently using hard decision decoding, without retaining or combining soft from previous attempts. This results in a self-contained approach for each transmission attempt, relying solely on the current reception for error correction and detection. Sequence numbering ensures proper ordering and duplicate detection, but the does not adapt the redundancy dynamically based on beyond requesting repeats. The simplicity of Type I Hybrid ARQ facilitates low-complexity implementation at the receiver, requiring only standard FEC decoding and minimal signaling overhead for acknowledgments, which makes it advantageous for resource-constrained devices. However, the persistent inclusion of full FEC overhead in every transmission imposes a throughput penalty in low-error environments, where the added redundancy is often superfluous and reduces effective data rates compared to pure ARQ or more adaptive schemes. This fixed overhead can lead to inefficient spectrum utilization when channel conditions are favorable. Early applications of Type I Hybrid ARQ appeared in wireless systems prioritizing ease of deployment, such as communications and networks in the , where the protocol's robustness against constant noise levels outweighed its efficiency drawbacks.

Type II Hybrid ARQ

Type II Hybrid ARQ operates by sending an initial transmission that includes only the systematic bits of the data payload along with error detection mechanisms, such as (CRC) bits, without any (FEC) parity overhead. Upon detection of errors at the , a negative triggers retransmissions that deliver solely additional parity bits generated from the same underlying FEC codeword. The then accumulates these parity bits with the original systematic bits to construct a progressively lower-rate code, enabling enhanced decoding reliability through soft combining of all received segments before final error correction. This approach relies on rate-compatible punctured codes, such as rate-compatible punctured convolutional (RCPC) codes, which derive multiple transmission versions from a single high-rate "mother" code by selectively puncturing (omitting) parity bits in a compatible manner. The receiver buffers and integrates the soft values from each transmission incrementally, deferring decoding until sufficient redundancy is gathered, which eliminates the need for discarding or re-encoding prior packets. In contrast to Type I Hybrid ARQ's retransmission of fully encoded packets, Type II prioritizes efficiency by transmitting minimal initial data and adding redundancy only as needed. Type II Hybrid ARQ offers high throughput in good channel conditions by avoiding unnecessary FEC overhead in the first transmission, while providing adaptability to fluctuating link quality through on-demand that lowers the effective code rate. However, its reliance on a fixed mother code limits rate flexibility compared to more advanced schemes, and complete decoding failure after exhausting all puncturing levels results in wasted resources across all transmissions. The buffering of multiple packet versions also increases receiver memory and processing demands, adding to implementation complexity. An illustrative example is its deployment in the High-Speed Downlink Packet Access (HSDPA) protocol within cellular systems, where serve as the basis for generating incremental bits during retransmissions, supporting efficient recovery in dynamic wireless environments.

Type III Hybrid ARQ

Type III Hybrid ARQ, also known as partial incremental redundancy, operates as a refinement of Type II by transmitting additional redundancy bits in each retransmission while ensuring that every individual transmission is self-decodable. In this scheme, the initial transmission includes systematic bits and some bits, and subsequent retransmissions provide incremental information that can be combined with prior receptions for improved correction. The attempts decoding after each retransmission using the accumulated bits; if successful, it sends an and halts the process, thereby potentially reducing the number of required transmissions compared to schemes that defer decoding until all redundancy arrives. This approach relies on irreducible codes, such as rate-compatible punctured convolutional (RCPC) codes, where each redundancy version forms a valid, standalone codeword capable of independent decoding, though combining enhances performance. Key characteristics of Type III Hybrid ARQ include the use of specially designed codes that avoid full puncturing of systematic bits, such as truncated or partially punctured convolutional codes, allowing for both self-decodability and incremental accumulation. Unlike pure incremental , which may require all versions for decoding, Type III balances coding efficiency with per-transmission decodability, enabling the receiver to exploit favorable conditions early in the process. This is achieved through bit-mapping schemes that separate systematic and bits across transmissions, ensuring with stop-and-wait protocols while adapting to varying error rates. In moderate-error channels, Type III offers lower average than Type II due to the possibility of early successful decoding after fewer retransmissions, as the self-decodable nature allows immediate assessment without waiting for complete sets. However, it introduces higher from repeated decoding attempts and for combining versions, which can increase processing overhead. These trade-offs make Type III less common in practical implementations, where simpler variants often prevail despite slightly reduced adaptability. Theoretical extensions of Type III appear in research employing RCPC codes for performance analysis over AWGN channels, demonstrating throughput gains in selective combining scenarios. It is occasionally referenced in standards for dynamic HARQ with code combining, though rarely deployed in favor of Type II due to complexity concerns.

Soft Combining Methods

Chase Combining

Chase combining is a fundamental soft combining technique employed in hybrid automatic repeat request (HARQ) schemes, where the transmitter retransmits the identical coded packet in response to a negative acknowledgment from the receiver. At the receiver side, the soft decision values—typically represented as log-likelihood ratios (LLRs)—from each reception are coherently combined using maximum ratio combining (MRC) to enhance the overall (SNR). This approach, originally proposed by in , leverages maximum-likelihood decoding principles to integrate multiple noisy versions of the same packet, thereby improving decoding reliability without introducing additional coded bits. A key characteristic of Chase combining is its simplicity as an extension to existing HARQ protocols, most notably Type I HARQ, where retransmissions replicate the original transmission exactly. The receiver accumulates the LLRs from successive receptions, with the combined LLR for each bit given by the , where N is the number of retransmissions and \mathrm{LLR}_i is the LLR from the i-th reception. Assuming equal transmit power across receptions in an (AWGN) channel, the effective SNR after combining is \mathrm{SNR_{eff} = N \times SNR_{single}}, where \mathrm{SNR_{single}} is the SNR of a single transmission; the FEC decoder then processes these combined soft values for final decoding. This yields an effective SNR gain of N \times \mathrm{SNR_{single}}, significantly improving the BER in proportion to the increased SNR. Chase combining offers straightforward implementation with predictable linear SNR gains per retransmission, making it computationally efficient and suitable for resource-constrained systems. However, its performance is inherently limited by the absence of new information in retransmissions, leading to and a plateau in error correction capability after several attempts, as the effective code rate cannot be further reduced. For instance, in early implementations, Chase combining was utilized in the uplink to provide robustness against and , particularly for synchronous HARQ processes where identical redundancy versions are repeated.

Incremental Redundancy

In incremental redundancy (), a form of soft combining in hybrid automatic repeat request (HARQ), each retransmission delivers unique bits that were not included in prior transmissions, derived from puncturing a high- version of a low- mother code. The receiver integrates these additional bits with previously received data to construct a single, longer codeword at a progressively lower effective coding , enhancing decoding reliability through increased redundancy without discarding earlier soft values. This process relies on rate-compatible codes, such as punctured , where the mother code (e.g., rate 1/3) is initially punctured to a higher rate for the first transmission, and subsequent retransmissions supply the withheld bits to chase the full mother codeword. A defining feature of IR is its ability to yield coding gains that surpass mere (SNR) improvements, as the added redundancy diversifies the code structure and reduces irreducible error events. With each retransmission, the effective coding rate diminishes—for instance, from an high rate like 3/4 down to the mother code rate of 1/3 or lower in implementations—allowing the system to adapt to poor channel conditions dynamically. For rate-compatible codes with mother code rate R_m, after k transmissions of lengths L_1, L_2, \dots, L_k, the effective rate is given by R_{\text{eff}} = \frac{R_{\text{tx}} \cdot L_{\text{tx}} }{\sum_{i=1}^k L_i }, where R_{\text{tx}} is the initial transmission rate and L_{\text{tx}} is the initial transmission length; diversity arises from the expanded code's error-correcting . IR excels in fading channels, offering 2-4 dB performance gains over simpler methods like combining by exploiting coding rather than repetition alone, though it demands intricate to handle varying versions and precise to ensure compatibility across rates. These advantages come at the cost of higher , as soft values from multiple transmissions must be stored and combined without . IR forms the foundation of HARQ in high-speed downlink packet access (HSDPA), utilizing 1/3-rate for retransmissions, and extends to long-term evolution () downlink, where similarly enable adaptive for robust throughput.

Implementation and Enhancements

HARQ Processes and Feedback Mechanisms

Hybrid automatic repeat request (HARQ) employs multiple parallel to enable efficient pipelining of data transmissions, mitigating the inherent in stop-and-wait protocols. In downlink for frequency division duplexing (FDD), up to eight independent HARQ operate concurrently per serving cell, allowing the transmitter to send new data while awaiting on prior transmissions. Each maintains its own buffer for received data and manages retransmissions autonomously, identified by a unique process ID (0 to 7) signaled in the downlink control information (). The MAC-layer HARQ entity coordinates these , routing and scheduling retransmissions as needed. Feedback mechanisms rely on acknowledgment (ACK) or negative acknowledgment (NACK) signals to indicate decoding success or failure. In , the receiver performs error detection using a 24-bit (CRC) on the transport block; a successful CRC validation prompts an transmission on the physical uplink control channel (PUCCH), while failure triggers a NACK. These signals are sent after a fixed round-trip time (RTT) of four subframes in FDD, enabling the transmitter to initiate retransmissions promptly upon receiving a NACK. Early termination is supported, where an halts further redundant transmissions for that process, optimizing resource use. For uplink transmissions, the provides ACK/NACK feedback via the physical hybrid ARQ indicator channel (PHICH). Error handling incorporates sequence numbers via the HARQ process ID to track and associate retransmissions with the correct initial transmission, preventing misordering in asynchronous downlink operations. A NACK prompts the transmitter to retransmit after the RTT, often with additional that can be combined at the using methods like incremental redundancy. In New Radio (NR), enhancements introduce asynchronous HARQ across both uplink and downlink, supporting up to 16 processes per per serving cell (defaulting to eight if not configured), with process IDs explicitly indicated in for flexible scheduling. Feedback timing is configurable via the PDSCH-to-HARQ_feedback timing indicator (k1) in , ranging from one to eight slots, which reduces signaling overhead compared to LTE's fixed timing. /NACK signals are transmitted on PUCCH or multiplexed in PUSCH, using dynamic codebooks to handle varying numbers of processes and support code block group-based feedback for finer error correction. Retransmissions are triggered by NACK or a non-toggled new data indicator (NDI) in subsequent , maintaining parallelism while adapting to low-latency requirements.

Timing and Resource Management

Hybrid automatic repeat request (HARQ) timing encompasses the round-trip time (RTT), which includes delay, receiver processing time, and transmission delay, to synchronize retransmissions effectively. In HSPA systems, a fixed RTT of 10 ms is employed, enabling up to eight parallel HARQ processes to maintain continuous data flow without stalling the transmitter during the feedback loop. In LTE, uplink transmissions incorporate a (TA) mechanism to compensate for varying delays, ensuring uplink signals align at the within the cyclic prefix; the TA value, signaled via MAC control elements, is applied starting from subframe n+6 after reception of the command. In , HARQ timing is more flexible to support diverse latency requirements, with the downlink HARQ feedback timing indicated by the K1 parameter in downlink control information (), allowing adaptive RTT based on processing capabilities. Minimum processing times are specified as N1 symbols for PDSCH decoding and N2 symbols for PUSCH decoding/encoding, scaled by subcarrier spacing (e.g., 8-14 symbols for 15 kHz SCS), enabling reduced latency in time-critical scenarios. Uplink TA in NR similarly adjusts for propagation delay, with commands updating the timing offset applied after a processing window, often aligned with slot boundaries for TDD flexibility. Resource management in HARQ involves assigning distinct resources to each to avoid collisions during retransmissions. In , the physical downlink control channel (PDCCH) carries the HARQ process ID (0-7 for FDD) alongside resource block assignments and modulation coding scheme, enabling the receiver to associate feedback with specific processes. Retransmissions receive higher priority over new data transmissions through logical channel prioritization (LCP), where the (MAC) entity selects data from higher-priority logical channels first, ensuring critical packets are retransmitted promptly. To manage buffers and prevent overflow, buffer status reporting (BSR) procedures inform the network of pending uplink data volume per logical group, triggering resource grants accordingly; BSR is activated by events such as new data arrival or periodic timers (e.g., retxBSR-Timer). A maximum retransmission limit, configured via RRC parameters like maxHARQ-Tx (typically up to 4 in deployments), caps attempts per transport block to avoid infinite loops, flushing the HARQ and escalating to higher-layer ARQ upon reaching the limit. Advancements in extend to up to 16 HARQ processes per per serving cell, configurable via RRC, with process IDs (0-15) explicitly indicated in to handle increased parallelism. The dynamic HARQ-ACK codebook enhances reliability in ultra-reliable low- communication (URLLC) by supporting NACK bundling, where multiple negative acknowledgments are aggregated into a single bit to reduce overhead and improve decoding robustness under stringent constraints. For instance, in NR, self-decodable versions (e.g., RV0 and RV3 in incremental ) allow the to decode a retransmission independently if indicated, facilitating receiver-driven timing adjustments without relying on prior soft-combined data.

Applications

In Cellular Standards

Hybrid Automatic Repeat Request (HARQ) was first introduced in cellular standards with High-Speed Downlink Packet Access (HSDPA) in 3GPP Release 5 and extended to High-Speed Uplink Packet Access (HSUPA) in Release 6. HSDPA employs Type II HARQ with incremental redundancy, utilizing up to eight parallel processes to manage retransmissions and achieve peak downlink throughput of 14 Mbps, while HSUPA extends similar capabilities to the uplink with a fixed round-trip time of 16 ms (eight processes) for the 2 ms time interval (TTI), or 40 ms (four processes) for the 10 ms TTI. In Long-Term Evolution (), HARQ evolved to support both Chase combining and incremental redundancy schemes across eight processes, integrated with adaptive modulation and coding for enhanced reliability in varying channel conditions. This configuration enables peak downlink speeds of 300 Mbps, with HARQ providing a 20-30% throughput in fading environments by efficiently handling retransmissions and soft combining. 5G New Radio (NR), standardized starting in 3GPP Release 15, advances HARQ to support up to 16 processes with asynchronous operation, allowing flexible scheduling of retransmissions independent of fixed timing. Enhanced feedback mechanisms, such as codeblock group-level negative acknowledgments, further optimize error recovery, while the adoption of low-density parity-check (LDPC) codes replaces from prior generations for improved decoding efficiency. These features cater to diverse use cases including enhanced (eMBB), ultra-reliable low-latency communication (URLLC), and massive machine-type communications (mMTC), targeting latencies below 1 ms and delivering approximately twice the of through reduced overhead and multi-transmission reception point (multi-TRP) support for reliability. Key evolutions across these standards include the transition from synchronous to asynchronous HARQ for greater flexibility and the shift to LDPC codes in 5G Release 15 and beyond, enabling better performance in high-throughput scenarios. In 5G deployments, HARQ typically achieves a block error rate (BLER) of 10^{-5} with an average of 1-2 retransmissions, significantly enhancing reliability for latency-sensitive applications.

In Other Communication Systems

Hybrid automatic repeat request (HARQ) has been adapted for various non-cellular communication systems to address specific challenges such as bursty traffic, noisy wired media, and high-latency propagation. In Mobile WiMAX (IEEE 802.16), Type II HARQ supports both Chase combining and incremental redundancy modes, enabling up to 16 parallel processes for downlink and uplink to efficiently manage bursty data in fixed and nomadic wireless access environments. This configuration allows asynchronous retransmissions, improving throughput for applications like broadband internet delivery over metropolitan areas. The standard for unified home networking incorporates Type I HARQ alongside to achieve data rates up to 2 Gbit/s across powerline, , and phoneline media, leveraging (OFDM) to combat impulse noise and in these challenging wired channels. By combining initial transmissions with selective retransmissions of erroneous blocks, HARQ enhances reliability without excessive overhead, supporting seamless multimedia streaming and smart home connectivity. In and broadcast systems, advanced FEC schemes akin to incremental , as seen in extensions of the standard, reduce the need for feedback-driven retransmissions in links with round-trip times around 500 ms, such as geostationary Earth orbit (GEO) configurations. These adaptations prioritize robust initial encoding with low-density parity-check (LDPC) codes, minimizing latency impacts from propagation delays while maintaining efficiency for unidirectional broadcast services. Emerging applications as of 2025 extend HARQ to non-terrestrial networks (NTN) integrated with , where extended timing advances and up to 32 HARQ processes accommodate GEO satellite delays exceeding 500 ms, often disabling feedback for delay-tolerant traffic to avoid stalling. In Release 18 (frozen 2024), HARQ enhancements for non-terrestrial networks and reduced capability devices further improve efficiency in integrated sensing and satellite scenarios. Similarly, enhancements in LTE-MTC protocols support multiple HARQ processes—up to 14 in Release 17—to enable reliable, low-power transmissions for massive machine-type communications in coverage-challenged areas, while NB- enhancements include asynchronous HARQ support with fewer processes. These implementations are particularly tailored for asymmetric channels, incorporating higher FEC rates in downlink-dominant systems to optimize and throughput in bandwidth-constrained, unidirectional scenarios.

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