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    Flexible encoder and decoder of low density parity check codes

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    Π£ Π΄ΠΈΡΠ΅Ρ€Ρ‚Π°Ρ†ΠΈΡ˜ΠΈ су ΠΏΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½Π° Π±Ρ€Π·Π°, флСксибилна ΠΈ хардвСрски Сфикасна Ρ€Π΅ΡˆΠ΅ΡšΠ° Π·Π° кодовањС ΠΈ дСкодовањС ΠΈΠ·ΡƒΠ·Π΅Ρ‚Π½ΠΎ Π½Π΅Ρ€Π΅Π³ΡƒΠ»Π°Ρ€Π½ΠΈΡ… ΠΊΠΎΠ΄ΠΎΠ²Π° са ΠΏΡ€ΠΎΠ²Π΅Ρ€Π°ΠΌΠ° парности ΠΌΠ°Π»Π΅ густинС (Π΅Π½Π³Π». low-density parity-check, LDPC, codes) Π·Π°Ρ…Ρ‚Π΅Π²Π°Π½Π° Ρƒ саврСмСним ΠΊΠΎΠΌΡƒΠ½ΠΈΠΊΠ°Ρ†ΠΈΠΎΠ½ΠΈΠΌ стандардима. ЈСдан Π΄Π΅ΠΎ доприноса Π΄ΠΈΡΠ΅Ρ€Ρ‚Π°Ρ†ΠΈΡ˜Π΅ јС Ρƒ новој Π΄Π΅Π»ΠΈΠΌΠΈΡ‡Π½ΠΎ ΠΏΠ°Ρ€Π°Π»Π΅Π»Π½ΠΎΡ˜ Π°Ρ€Ρ…ΠΈΡ‚Π΅ΠΊΡ‚ΡƒΡ€ΠΈ LDPC ΠΊΠΎΠ΄Π΅Ρ€Π° Π·Π° ΠΏΠ΅Ρ‚Ρƒ Π³Π΅Π½Π΅Ρ€Π°Ρ†ΠΈΡ˜Ρƒ ΠΌΠΎΠ±ΠΈΠ»Π½ΠΈΡ… ΠΊΠΎΠΌΡƒΠ½ΠΈΠΊΠ°Ρ†ΠΈΡ˜Π°. АрхитСктура јС заснована Π½Π° Ρ„Π»Π΅ΠΊΡΠΈΠ±ΠΈΠ»Π½ΠΎΡ˜ ΠΌΡ€Π΅ΠΆΠΈ Π·Π° ΠΊΡ€ΡƒΠΆΠ½ΠΈ ΠΏΠΎΠΌΠ΅Ρ€Π°Ρ˜ која ΠΎΠΌΠΎΠ³ΡƒΡ›Π°Π²Π° ΠΏΠ°Ρ€Π°Π»Π΅Π»Π½ΠΎ ΠΏΡ€ΠΎΡ†Π΅ΡΠΈΡ€Π°ΡšΠ΅ вишС Π΄Π΅Π»ΠΎΠ²Π° ΠΊΠΎΠ½Ρ‚Ρ€ΠΎΠ»Π½Π΅ ΠΌΠ°Ρ‚Ρ€ΠΈΡ†Π΅ ΠΊΡ€Π°Ρ‚ΠΊΠΈΡ… ΠΊΠΎΠ΄ΠΎΠ²Π° Ρ‡ΠΈΠΌΠ΅ сС ΠΎΡΡ‚Π²Π°Ρ€ΡƒΡ˜Π΅ сличан Π½ΠΈΠ²ΠΎ ΠΏΠ°Ρ€Π°Π»Π΅Π»ΠΈΠ·ΠΌΠ° ΠΊΠ°ΠΎ ΠΈ ΠΏΡ€ΠΈ ΠΊΠΎΠ΄ΠΎΠ²Π°ΡšΡƒ Π΄ΡƒΠ³Π°Ρ‡ΠΊΠΈΡ… ΠΊΠΎΠ΄ΠΎΠ²Π°. ΠŸΠΎΡ€Π΅Π΄ Π°Ρ€Ρ…ΠΈΡ‚Π΅ΠΊΡ‚ΡƒΡ€Π°Π»Π½ΠΎΠ³ Ρ€Π΅ΡˆΠ΅ΡšΠ°, ΠΏΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½Π° јС ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·Π°Ρ†ΠΈΡ˜Π° рСдослСда ΠΏΡ€ΠΎΡ†Π΅ΡΠΈΡ€Π°ΡšΠ° ΠΊΠΎΠ½Ρ‚Ρ€ΠΎΠ»Π½Π΅ ΠΌΠ°Ρ‚Ρ€ΠΈΡ†Π΅ заснована Π½Π° Π³Π΅Π½Π΅Ρ‚ΠΈΡ‡ΠΊΠΎΠΌ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΡƒ, која ΠΎΠΌΠΎΠ³ΡƒΡ›Π°Π²Π° ΠΏΠΎΡΡ‚ΠΈΠ·Π°ΡšΠ΅ Π²Π΅Π»ΠΈΠΊΠΈΡ… ΠΏΡ€ΠΎΡ‚ΠΎΠΊΠ°, ΠΌΠ°Π»ΠΎΠ³ кашњСња ΠΈ Ρ‚Ρ€Π΅Π½ΡƒΡ‚Π½ΠΎ Π½Π°Ρ˜Π±ΠΎΡ™Π΅ Сфикасности ΠΈΡΠΊΠΎΡ€ΠΈΡˆΡ›Π΅ΡšΠ° хардвСрских рСсурса. Π£ Π΄Ρ€ΡƒΠ³ΠΎΠΌ Π΄Π΅Π»Ρƒ Π΄ΠΈΡΠ΅Ρ€Ρ‚Π°Ρ†ΠΈΡ˜Π΅ ΠΏΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ΠΎ јС Π½ΠΎΠ²ΠΎ алгоритамско ΠΈ Π°Ρ€Ρ…ΠΈΡ‚Π΅ΠΊΡ‚ΡƒΡ€Π°Π»Π½ΠΎ Ρ€Π΅ΡˆΠ΅ΡšΠ΅ Π·Π° дСкодовањС структурираних LDPC ΠΊΠΎΠ΄ΠΎΠ²Π°. ЧСсто ΠΊΠΎΡ€ΠΈΡˆΡ›Π΅Π½ΠΈ приступ Ρƒ LDPC Π΄Π΅ΠΊΠΎΠ΄Π΅Ρ€ΠΈΠΌΠ° јС ΡΠ»ΠΎΡ˜Π΅Π²ΠΈΡ‚ΠΎ дСкодовањС, ΠΊΠΎΠ΄ ΠΊΠΎΠ³Π° сС услСд ΠΏΡ€ΠΎΡ‚ΠΎΡ‡Π½Π΅ ΠΎΠ±Ρ€Π°Π΄Π΅ Ρ˜Π°Π²Ρ™Π°Ρ˜Ρƒ Ρ…Π°Π·Π°Ρ€Π΄ΠΈ ΠΏΠΎΠ΄Π°Ρ‚Π°ΠΊΠ° који ΡΠΌΠ°ΡšΡƒΡ˜Ρƒ ΠΏΡ€ΠΎΡ‚ΠΎΠΊ. Π”Π΅ΠΊΠΎΠ΄Π΅Ρ€ ΠΏΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ Ρƒ Π΄ΠΈΡΠ΅Ρ€Ρ‚Π°Ρ†ΠΈΡ˜ΠΈ Ρƒ ΠΊΠΎΠ½Ρ„Π»ΠΈΠΊΡ‚Π½ΠΈΠΌ ΡΠΈΡ‚ΡƒΠ°Ρ†ΠΈΡ˜Π°ΠΌΠ° Π½Π° ΠΏΠΎΠ³ΠΎΠ΄Π°Π½ Π½Π°Ρ‡ΠΈΠ½ ΠΊΠΎΠΌΠ±ΠΈΠ½ΡƒΡ˜Π΅ ΡΠ»ΠΎΡ˜Π΅Π²ΠΈΡ‚ΠΎ ΠΈ симултано дСкодовањС Ρ‡ΠΈΠΌΠ΅ сС ΠΈΠ·Π±Π΅Π³Π°Π²Π°Ρ˜Ρƒ циклуси ΠΏΠ°ΡƒΠ·Π΅ ΠΈΠ·Π°Π·Π²Π°Π½ΠΈ Ρ…Π°Π·Π°Ρ€Π΄ΠΈΠΌΠ° ΠΏΠΎΠ΄Π°Ρ‚Π°ΠΊΠ°. Овај приступ дајС могућност Π·Π° ΡƒΠ²ΠΎΡ’Π΅ΡšΠ΅ Π²Π΅Π»ΠΈΠΊΠΎΠ³ Π±Ρ€ΠΎΡ˜Π° стСпСни ΠΏΡ€ΠΎΡ‚ΠΎΡ‡Π½Π΅ ΠΎΠ±Ρ€Π°Π΄Π΅ Ρ‡ΠΈΠΌΠ΅ сС постиТС висока учСстаност сигнала Ρ‚Π°ΠΊΡ‚Π°. Π”ΠΎΠ΄Π°Ρ‚Π½ΠΎ, рСдослСд ΠΏΡ€ΠΎΡ†Π΅ΡΠΈΡ€Π°ΡšΠ° ΠΊΠΎΠ½Ρ‚Ρ€ΠΎΠ»Π½Π΅ ΠΌΠ°Ρ‚Ρ€ΠΈΡ†Π΅ јС ΠΎΠΏΡ‚ΠΈΠΌΠΈΠ·ΠΎΠ²Π°Π½ ΠΊΠΎΡ€ΠΈΡˆΡ›Π΅ΡšΠ΅ΠΌ Π³Π΅Π½Π΅Ρ‚ΠΈΡ‡ΠΊΠΎΠ³ Π°Π»Π³ΠΎΡ€ΠΈΡ‚ΠΌΠ° Π·Π° ΠΏΠΎΠ±ΠΎΡ™ΡˆΠ°Π½Π΅ пСрформансС ΠΊΠΎΠ½Ρ‚Ρ€ΠΎΠ»Π΅ Π³Ρ€Π΅ΡˆΠ°ΠΊΠ°. ΠžΡΡ‚Π²Π°Ρ€Π΅Π½ΠΈ Ρ€Π΅Π·ΡƒΠ»Ρ‚Π°Ρ‚ΠΈ ΠΏΠΎΠΊΠ°Π·ΡƒΡ˜Ρƒ Π΄Π°, Ρƒ ΠΏΠΎΡ€Π΅Ρ’Π΅ΡšΡƒ са Ρ€Π΅Ρ„Π΅Ρ€Π΅Π½Ρ‚Π½ΠΈΠΌ Ρ€Π΅ΡˆΠ΅ΡšΠΈΠΌΠ°, ΠΏΡ€Π΅Π΄Π»ΠΎΠΆΠ΅Π½ΠΈ Π΄Π΅ΠΊΠΎΠ΄Π΅Ρ€ ΠΎΡΡ‚Π²Π°Ρ€ΡƒΡ˜Π΅ Π·Π½Π°Ρ‡Π°Ρ˜Π½Π° ΠΏΠΎΠ±ΠΎΡ™ΡˆΠ°ΡšΠ° Ρƒ ΠΏΡ€ΠΎΡ‚ΠΎΠΊΡƒ ΠΈ Π½Π°Ρ˜Π±ΠΎΡ™Ρƒ Сфикасност Π·Π° истС пСрформансС ΠΊΠΎΠ½Ρ‚Ρ€ΠΎΠ»Π΅ Π³Ρ€Π΅ΡˆΠ°ΠΊΠ°.The dissertation proposes high speed, flexible and hardware efficient solutions for coding and decoding of highly irregular low-density parity-check (LDPC) codes, required by many modern communication standards. The first part of the dissertation’s contributions is in the novel partially parallel LDPC encoder architecture for 5G. The architecture was built around the flexible shifting network that enables parallel processing of multiple parity check matrix elements for short to medium code lengths, thus providing almost the same level of parallelism as for long code encoding. In addition, the processing schedule was optimized for minimal encoding time using the genetic algorithm. The optimization procedure contributes to achieving high throughputs, low latency, and up to date the best hardware usage efficiency (HUE). The second part proposes a new algorithmic and architectural solution for structured LDPC code decoding. A widely used approach in LDPC decoders is a layered decoding schedule, which frequently suffers from pipeline data hazards that reduce the throughput. The decoder proposed in the dissertation conveniently incorporates both the layered and the flooding schedules in cases when hazards occur and thus facilitates LDPC decoding without stall cycles caused by pipeline hazards. Therefore, the proposed architecture enables insertion of many pipeline stages, which consequently provides a high operating clock frequency. Additionally, the decoding schedule was optimized for better signal-to-noise ratio (SNR) performance using genetic algorithm. The obtained results show that the proposed decoder achieves great throughput increase and the best HUE when compared with the state of the art for the same SNR performance
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