• Title/Summary/Keyword: Fast decoding

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Syndrome Check aided Fast-SSCANL Decoding Algorithm for Polar Codes

  • Choangyang Liu;Wenjie Dai;Rui Guo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.18 no.5
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    • pp.1412-1430
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    • 2024
  • The soft cancellation list (SCANL) decoding algorithm for polar codes runs L soft cancellation (SCAN) decoders with different decoding factor graphs. Although it can achieve better decoding performance than SCAN algorithm, it has high latency. In this paper, a fast simplified SCANL (Fast-SSCANL) algorithm that runs L independent Fast-SSCAN decoders is proposed. In Fast-SSCANL decoder, special nodes in each factor graph is identified, and corresponding low-latency decoding approaches for each special node is propose first. Then, syndrome check aided Fast-SSCANL (SC-Fast-SSCANL) algorithm is further put forward. The ordinary nodes satisfied the syndrome check will execute hard decision directly without traversing the factor graph, thereby reducing the decoding latency further. Simulation results show that Fast-SSCANL and SC-Fast-SSCANL algorithms can achieve the same BER performance as the SCANL algorithm with lower latency. Fast-SSCANL algorithm can reduce latency by more than 83% compared with SCANL, and SC-Fast-SSCANL algorithm can reduce more than 85% latency compared with SCANL regardless of code length and code rate.

Estimation of an intitial image for fast fractal decoding (고속 프랙탈 영상 복원을 위한 초기 영상 추정)

  • 문용호;박태희;백광렬;김재호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.2
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    • pp.325-333
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    • 1997
  • In fractral decoding procedure, the reconstructed image is obtained by iteratively applying the contractive transform to an arbitrary initial image. But this method is not suitable for the fast decoding because convergence speed depends on the selection of initial image. Therefore, the initial image to achieve fast decoding should be selected. In this paper, we propose an initial image estimation that can be applied to various decoding methods. The initial image similar to the original image is estimated by using only the compressed data so that the proposed method does not affect the compression ratio. From the simulation, the PSNR of the proposed initial image is 6dB higher han that of ones iterated output image of conventional decoding with Babaraimage. Computations in addition and multiplication are reduced about 96%. On the other hands, if we apply the proposed initial image to other decoding algorithms, the faster convergence speed is expected.

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Fast Distributed Video Decoding Using BER model for Applications with Motion Information Feedback (움직임 정보 피드백이 가능한 응용을 위한 BER모델을 이용한 고속 분산 비디오 복호화 기법)

  • Kim, Man-Jae;Kim, Jin-Soo
    • The Journal of the Korea Contents Association
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    • v.12 no.12
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    • pp.14-24
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    • 2012
  • DVC (Distributed Video Coding) techniques need feedback channel for parity bit control to achieve the good RD performances, however, this causes the DVC system to have high decoding latency. In order to implement in real time environments and to accelerate commercializations, many research works have been focusing on the development of fast video decoding algorithm. As one of the real time implementations, this paper deals with a novel DVC scheme suitable for some application areas where source statistics such as motion information can be provided to the encoder side from the decoder side. That is, this paper propose a fast distributed video decoding scheme to improve the decoding speed by using the feedback of motion information derived in SI generation. Through computer simulations, it is shown that the proposed method outperforms the conventional fast DVC decoding schemes.

Comparison on Recent Decoding Methods for Polar Codes based on Successive-Cancellation Decoding (연속 제거 복호기반의 최신 극 부호 복호기법 비교)

  • Choi, Soyeon;Yoo, Hoyoung
    • Journal of IKEEE
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    • v.24 no.2
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    • pp.550-558
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    • 2020
  • Successive cancellation (SC) decoding that is one of the decoding algorithms for polar codes has long decoding latency and low throughput because of the nature of successive decoding. To reduce the latency and increase the throughput, various decoding structures for polar codes are presented. In this paper, we compare the previous decoding structures and analyze them by dividing into two types, pruning and multi-path decoders. Decoders for applying pruning are representative of SSC (simplified SC), Fast-SSC and redundant-LLR structures, and decoders with multi-path are representative of 2-bit SC and redundant-LLR structures. All the previous structures are compared in terms decoding latency and hardware area, and according to the comparison, the syndrome check based decoder has the lowest latency and redundant-LLR decoder has the highest hardware efficiency.

FAST UNIQUE DECODING OF PLANE AG CODES

  • Lee, Kwankyu
    • Honam Mathematical Journal
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    • v.35 no.4
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    • pp.793-808
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    • 2013
  • An interpolation-based unique decoding algorithm of Algebraic Geometry codes was recently introduced. The algorithm iteratively computes the sent message through a majority voting procedure using the Gr$\ddot{o}$bner bases of interpolation modules. We now combine the main idea of the Guruswami-Sudan list decoding with the algorithm, and thus obtain a hybrid unique decoding algorithm of plane AG codes, significantly improving the decoding speed.

A Fast Fractal Image Decoding Using the Encoding Algorithm by the Limitation of Domain Searching Regions (정의역 탐색영역 제한 부호화 알고리듬을 이용한 고속 프랙탈 영상복원)

  • 정태일;강경원;권기룡;문광석;김문수
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2000.12a
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    • pp.125-128
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    • 2000
  • The conventional fractal decoding was required a vast amount computational complexity. Since every range blocks was implemented to IFS(iterated function system). In order to improve this, it has been suggested to that each range block was classified to iterated and non-iterated regions. If IFS region is contractive, then it can be performed a fast decoding. In this paper, a searched region of the domain in the encoding is limited to the range region that is similar with the domain block, and IFS region is a minimum. So, it can be performed a fast decoding by reducing the computational complexity for IFS in fractal image decoding.

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A fast fractal decoding algorithm using averaged-image estimation (평균 영상 추정을 이용한 고속 플랙탈 영상 복원 알고리즘)

  • 문용호;박태희;김재호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.9A
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    • pp.2355-2364
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    • 1998
  • In conventional fractal decoding procedure, the reconstructed image is obtained by a rpredefined number of iterations starting with an arbitrary initial image. Its convergence speed depends on the selection of the initial image. It should be solved to get high speed convergence. In this paper, we theoretically reveal that conventional method is approximately decomposed into the decoding of the DC and AC components. Based on this fact, we proposed a novel fast fractal decoding algorithm made up of two steps. The averaged-image considered as an optimal initial image is estimated in the first step. In the second step, the reconstructe dimag eis genrated from the output image obtained in the first step. From the simulations, it is shown that the output image of the first step approximately converges to the averaged-image with only 15% calculations for one iteration of conventional method. And the proposed method is faster than various decoding mehtods and evenly equal to conventioanl decoding with the averaged-image. In addition, the proposed method can be applied to the compressed data resulted from the various encoding methods because it does not impose any constraints in the encoding procedure to get high decoding speed.

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Multiple Node Flip Fast-SSC Decoding Algorithm for Polar Codes Based on Node Reliability

  • Rui, Guo;Pei, Yang;Na, Ying;Lixin, Wang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.2
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    • pp.658-675
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    • 2022
  • This paper presents a fast-simplified successive cancellation (SC) flipping (Fast-SSC-Flip) decoding algorithm for polar code. Firstly, by researching the probability distribution of the number of error bits in a node caused by channel noise in simplified-SC (SSC) decoder, a measurement criterion of node reliability is proposed. Under the guidance of the criterion, the most unreliable nodes are firstly located, then the unreliable bits are selected for flipping, so as to realize Fast-SSC-Flip decoding algorithm based on node reliability (NR-Fast-SSC-Flip). Secondly, we extended the proposed NR-Fast-SSC-Flip to multiple node (NR-Fast-SSC-Flip-ω) by considering dynamic update to measure node reliability, where ω is the order of flip-nodes set. The extended algorithm can correct the error bits in multiple nodes, and get good performance at medium and high signal-to-noise (SNR) region. Simulation results show that the proposed NR-Fast-SSC-Flip decoder can obtain 0.27dB and 0.17dB gains, respectively, compared with the traditional Fast-SSC-Flip [14] and the newly proposed two-bit-flipping Fast-SSC (Fast-SSC-2Flip-E2) [18] under the same conditions. Compared with the newly proposed partitioned Fast-SSC-Flip (PA-Fast-SSC-Flip) (s=4) [18], the proposed NR-Fast-SSC-Flip-ω (ω=2) decoder can obtain about 0.21dB gain, and the FER performance exceeds the cyclic-redundancy-check (CRC) aided SC-list (CRC-SCL) decoder (L=4).

Adaptive Hard Decision Aided Fast Decoding Method using Parity Request Estimation in Distributed Video Coding (패리티 요구량 예측을 이용한 적응적 경판정 출력 기반 고속 분산 비디오 복호화 기술)

  • Shim, Hiuk-Jae;Oh, Ryang-Geun;Jeon, Byeung-Woo
    • Journal of Broadcast Engineering
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    • v.16 no.4
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    • pp.635-646
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    • 2011
  • In distributed video coding, low complexity encoder can be realized by shifting encoder-side complex processes to decoder-side. However, not only motion estimation/compensation processes but also complex LDPC decoding process are imposed to the Wyner-Ziv decoder, therefore decoder-side complexity has been one important issue to improve. LDPC decoding process consists of numerous iterative decoding processes, therefore complexity increases as the number of iteration increases. This iterative LDPC decoding process accounts for more than 60% of whole WZ decoding complexity, therefore it can be said to be a main target for complexity reduction. Previously, HDA (Hard Decision Aided) method is introduced for fast LDPC decoding process. For currently received parity bits, HDA method certainly reduces the complexity of decoding process, however, LDPC decoding process is still performed even with insufficient amount of parity request which cannot lead to successful LDPC decoding. Therefore, we can further reduce complexity by avoiding the decoding process for insufficient parity bits. In this paper, therefore, a parity request estimation method is proposed using bit plane-wise correlation and temporal correlation. Joint usage of HDA method and the proposed method achieves about 72% of complexity reduction in LDPC decoding process, while rate distortion performance is degraded only by -0.0275 dB in BDPSNR.

A fast fractal decoding algorithm (고속 프랙탈 복원 알고리즘)

  • 문용호;김형순;손경식;김윤수;김재호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.3
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    • pp.564-575
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    • 1996
  • Conventional decoding procedures have some problems in order to obtain reconstructed images with high speed. In this paper, the solutions of these are studied and a new fast decoding algorithm is proposed. The proposed algorithm uses a convergence criterion that is used to reduce the redundant iteration in the conventional method and to determine continuation of decoding. The initical image similar to roiginal image is estimated firstly in this algorithm. From the simulation resuls, the proposed algorithm is able to achieve the reconstructed image within 3-4 iteration under the objective criterion. Without any increment of the memory, the quality of the image reconstructed by the proposed algorithm has same quality asthe conventional method.

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