As a result, the proposed nb ldpc codes represent the strong fec candidate of softdecision fec for beyond 100gbs optical transmission. The resulting decoder architecture has, to our best knowledge, the lowest requirements of logic, interconnection. Nov 20, 2014 lin j, yan z efficient shuffled decoder architecture for nonbinary quasicyclic ldpc codes. Ldpc decoder with an unrolled fullparallel architecture is. This forced the turbo code proposals to use frame sizes on the order of one half the frame size of the ldpc.
Efficient implementation of non binary ldpc decoders is a progressing field. Low density parity check ldpc codes, is a linear block code having the decoding performance closer to shannons limit. Standard bch and rs ecc decoding algorithm berlekampmassey algorithm is a hard decision decoder. Ldpc code is often defined by parity check matrix h the parity check matrix, h, of an ldpc code with practical length has low density most entries are 0s, and only few are 1s, thus the name lowdensity paritycheck code. The inherently parallel nature of these codes allows very high throughput to be achieved. An efficient vlsi implementation of first two minimum value generator for bit serial ldpc decoder s. Vlsi algorithms and architectures for nonbinaryldpc decoding. Efficient configurable decoder architecture for nonbinary. Efficient vlsi parallel implementation for ldpc decoder. Pdf algorithm and vlsi architecture for polar codes decoder. On the other hand, the complexity of the decoder increases significantly with q. However, one challenging issue to apply nb ldpc codes in lowpower embedded applications is the high decoding complexities. Pdf critical scan path based energy efficient ldpc decoder.
Implementing high throughput and energy efficient ldpc decoders remains a challenge largely due to the high interconnect complexity and. In 17, a lowpower high throughput nb ldpc architecture was proposed to reduce the memory access power exploiting the inherent error. Pdf an energy efficient layered decoding architecture for. Among various alternatives 2,26, we adopted a partially parallel architecture because it is a natural choice for quasicyclic codes. Introduction of the qc ldpc codes generally, a binary ldpc code is a linear block code speci. In the nb ldpc decoder each message exchanged between the processing nodes is an array of values, each one corresponding to a gf element. Hard decoder algorithm could be used if one read is available. Jan 01, 2016 implementing a flexible vlsi architecture while satisfying silicon area, latency and dynamic power metrics is still a demanding task. This article, deals with efficient trellis inbuilt decoding architecture for non binary linear density parity check ldpc codes. Nonbinary ldpc code decoder architecture with efficient check. Efficient check node processing architectures for non. Analysis of the most efficient decoder architectures in terms of area and throughput, and detection. In this work a parallel radixsortbased vlsi architecture for.
In addition, an efficient vlsi architecture for a non binary minmax decoder is. Two categories of decoders are available for ldpc decoding scheme. Abstract non binary lowdensity parity check nb ldpc codes are an extension of binary ldpc codes with significantly better performance. This architecture also becomes less 15 efficient when q is larger or the code rate is lower. A highperformance and energyefficient decoder for non. Simulation results show that the proposed architecture is more efficient than and with same storage requirement as the modified sequential decoder in 15. By exploiting the intrinsic shifting and symmetry properties of nonbinary quasicyclic ldpc qcldpc codes, significant.
Vijayakanth2 1me vlsi design, srinivasan engineering college pperambalur shailaja889at 2assistant professor, srinivasan engineering college perambalur k. Pdf an efficient vlsi architecture for nonbinary ldpc. Although various kinds of lowcomplexity quasioptimal iterative decoding algorithms have been proposed, the vlsi implementation of nonbinary ldpc decoders has rarely been. Decoder implementation an overview sciencedirect topics. Erroranderasure decoder is a variant of soft information decoder. Non binary ldpc nb ldpc, viewed as an extension of the binary codes. From an implementation point of view, this leads to a highly increased complexity compared to binary ldpc decoding. The dvbs2 selection committee made decoder complexity estimates for the turbo code proposals using a much less efficient serial decoder architecture rather than a parallel decoder architecture.
Algorithm and vlsi architecture for polar codes decoder core. Energy efficient decoder design for nonbinary ldpc codes. Publications department of electrical and computer. Osa fpga implementation of concatenated nonbinary qcldpc.
Index termsnb ldpc, check node, syndromebased, vlsi. An efficient vlsi implementation of first two minimum. The results presented in this article are a part of a broader research, with a purpose to build an energy efficient ldpc decoder. Lowlatency lowcomplexity channel decoder architectures for. Currently available asic implementation solutions for nb ldpc code decoders are simultaneously low in throughput and powerhungry, leading to a low energy efficiency. Binary lowdensity paritycheck ldpc codes, revealed by gallager in 19621,2 were rediscovered and shown to approach shannon capacity in the late 1990s. As a case study, we describe a doublelayer parallel decoder architecture for ieee 802. Finally, an efficient vlsi architecture for a nonbinary ldpc decoder will be presented.
Since this partition is not disjoint, we have nb nonbinary ldpc decoders. This article pays special attention to two aspects, the essence of which is to orient the decoder implementation to specific logical resources contained in a lutbased fpga. Zhang, efficient check node processing architecture for non binary ldpc decoding using power representation, proc. Low complexity design of nonbinary ldpc decoder using. Lowpower nonbinary ldpc decoder design via adaptive. First, a novel design methodology to design complexitylow vlsi architectures for non binary ldpc decoders is presented. As a result, the proposed nb ldpc codes represent the strong fec candidate of softdecision fec for beyond 100gbs optical transmission systems. A fastconvergence decoding method and memory efficient vlsi decoder. Emmanuel boutillon,complexity comparison of non binary complexity comparison of non binary ldpc decoders, ictmobilesummit 2009 conference proceedings poster paperpaul cunningham and miriam cunningham edsiimc international information. An efficient vlsi architecture for nonbinary ldpc decoders. Ieee transactions on circuits and systems i, 582, 402414. In this work, we focus on the ldpc decoding implementation based on the layered decoding algorithm. A networkefficient nonbinary qcldpc decoder architecture.
Highperformance and energyefficient decoder design for non. The decoder also incorporates the variable node optimization presented above. Mar 01, 2012 a parameterized hardware model of the ldpc decoder based on the mms algorithm was developed using the verilog hardware description language hdl. Hybrid check node architectures for nbldpc decoders.
Specifications and implementations, crc press, mar. Ldpc codes with layered and flooding schedules on a graphics. This thesis is devoted to the algorithm and vlsi architecture design for a new class of. Architecture for irregular ldpc codes in the ieee 802. A fastconvergence decoding method and memoryefficient vlsi. In the existing method energy efficient architectures for decoders of lowdensity parity check ldpc codes using the modified differential decoding with binary message passing mddbmp algorithm is used. Each bit of an ldpc codeword corresponds to a column of parity check matrix. Lowcomplexity modified trellisbased minmax non binary. All the check updates in one clock cycle and all the bit updates in one more clock cycle. In this decoder, a bidirectional recursion is embedded to enhance.
An area efficient ldpc decoder using a reduced complexity min. Recently low power design techniques and architectures have been proposed for fully parallel 26, 27, and partialparallel 10 ldpc decoder architecture. Reducedcomplexity vlsi architectures for binary and. Parhi, early stopping criteria for energy efficient lowlatency beliefpropagation polar code decoders, ieee transactions on signal processing, 6224, pp. Cai, an efficient architecture for iterative soft reliabilitybased majoritylogic non binary ldpc decoding, proc. Highthroughput fftspa decoder implementation for nonbinary. Multilayer parallel decoding algorithm and vlsi architecture. Fpga implementation of concatenated nonbinary qcldpc. The main difficulty in vlsi impleme ntation of ldpc decoder is to have area efficient architecture which will be successful in passing the message during the iterative belief propagation decoding. In addition, these non llr decoders were not compatible for the modern. Vlsi implementation of a rate decoder for structural ldpc. Low complexity reliability based message passing decoder. We propose several techniques at the algorithm level as well as hardware architecture level in an attempt to bring nb ldpc codes closer to practical deployment.
High power consumption is one of the bottlenecks for ldpc decoder design. Fanucci, vlsi design of a highthroughput multirate decoder for structured ldpc codes, in proc. Lin j, yan z efficient shuffled decoder architecture for nonbinary quasicyclic ldpc codes. The synthesis results are given to demonstrate the efficiency of the proposed techniques. Since this partition is not disjoint, we have nb binary phase shift keying bpsk and additive white. Polarizationmultiplexed rateadaptive non binaryquasi. Ieee trans very large scale integr vlsi syst, preprint. Efficient check node processing architectures for nonbinary. A novel decoding approach for nonbinary ldpc codes in finite. An efficient vlsi implementation of first two minimum value. In our study of ldpc decoders implementation 2,26, we used the minsum ldpc decoding algorithm, which represents a simplified version of the minsumwithcorrectionterm algorithm introduced above, in which the correction term in 6. Pdf critical scan path based energy efficient ldpc.
A fastconvergence decoding method and memoryefficient vlsi decoder. Section 2 presents the two sequential ldpc decoders that use plr algorithm for decoding. The main contribution of this work is an efficient architecture, that utilizes the valuereuse property of oms, cyclic shift property of structured ldpc codes and enhancement of our previous work of block serial scheduling 7. Non binary ldpc is the class of binary ldpc, which works on the higher order galois field. Decoder architectures parallelization is goodbut comes at a steep cost for ldpc. In 3 hardware architecture for the suboptimal extended minsum.
Adaptive message control decoding extended minsum non binary lowdensity paritycheck ldpc codes vlsi architecture introduction due to these features, design and implementation of nonbinary ldpc codes have become critical for many lowdensity paritycheck ldpc codes 1, 2 emerging applications such as underwater acoustic are. This thesis commits itself to the efficient vlsi implementation of lowlatency lowcomplexity channel decoders. Lowdensity paritycheck ldpc codes constructed over the galois field gf q, which are also called nonbinary ldpc codes, are an extension of binary ldpc codes with significantly better performance. Vlsi architectures for layered decoding for irregular ldpc. Highperformance and energyefficient decoder design for. Novel non binary qc ldpc decoders with efficient switch networks are presented. Implementing nonlinear functions as small lookup table leads us consider the dynamic range of the nonlinear functions in order to take more precisely into account the effect of finite precision computation. This forced the turbo code proposals to use frame sizes on the order of one half the frame size of the ldpc proposals. An area efficient ldpc decoder using a reduced complexity. In this paper, we propose a softdecisionbased fec scheme that is the concatenation of a non binary ldpc code and harddecision fec code. In order to make our approaches more applicable for variant realtime communication applications, formal design methodologies are proposed.
In 32, lowpower vlsi techniques are adopted in the design of a 802. Product algorithm qspa decoding architecture for nb. In 57, a kind of partially parallel decoder architecture is further developed for non binary qc ldpc codes to achieve better tradeoff between hardware complexity and data throughput. A convenient representation of ldpc codes are bipartite graphs 3 tanner graphs in which variable nodes vns are associated with code bits. Although various kinds of lowcomplexity quasioptimal iterative decoding algorithms have been proposed, the vlsi implementation of nonbinary ldpc decoders has rarely been discussed due. Highthroughput vlsi architectures for binary and nonbinary. Nonbinary ldpc code decoder architecture with efficient. The tentative decoding steps of the algorithm have been modified to avoid computing and storing a matrix of dimension n. In this paper, we presented a threshold controlled min sum algorithm based ldpc decoder architecture that can decode any structured or unstructured ldpc channel code. Zhang, efficient vlsi architectures for the aes algorithm, wireless security and cryptography. Lowlatency lowcomplexity channel decoder architectures. Aug 31, 2012 a vlsi architecture for the generalized bitflipping decoding algorithm for non binary lowdensity paritycheck codes is proposed in this paper. Architecture of generalized bitflipping decoding for high. This paper focuses on low complexity architectures for check node processing in non.
Efficient implementation of nonbinary ldpc decoders is a progressing field. This paper presents approaches to develop efficient network for nonbinary quasicyclic ldpc qc ldpc decoders. Cai, reducedcomplexity decoder architecture for non binary ldpc codes, ieee trans. Area efficient vlsi architecture by employing rbit symbolbased siso processing kernel derived previously, we can implement both siso equalizer and decoder on a single hardware platform leading to area saving. Area efficient fpga based ldpc decoder using stochastic. The vlsi implementation complexity of a low density parity check ldpc decoder is largely influenced by the interconnect and the storage requirements. In addition, an efficient vlsi architecture for a nonbinary minmax decoder is presented. Ieee transactions on circuits and systems ii, tcasii, 64 2, 6140.
By exploiting the intrinsic shifting and symmetry properties of the check matrices. Ieee vlsi circuits and systems letter volume 4, issue 3, aug 2018 editorial features atin mukherjee and debesh choudhury, an area efficient 2d fourier transform architecture for fpga implementation shantharam kalipatnapu, ryan joseph and indrajit chakrabarti, an efficient decoder architecture for cyclic non binary ldpc codes. Chapter 3 flexible ldpc decoder architecture for highthroughput. Many recent communication standards such as 10 gigabit ethernet 10gbaset 2, digital video broadcasting dvbs2 3, and wimax ieee 802. The main drawback of nb ldpc codes is related to their high decoding complexity. Although various kinds of lowcomplexity iterative decoding algorithms have been proposed, there is a big challenge for vlsi implementation of nbldpc decoders due to its high complexity and long latency.
Mar 24, 2018 recently, to achieve both flexibility and good throughput performance, nb. In this paper, we propose a comprehensive message length control technique that adaptively. Ldpc decoders have been ported from dedicated hardware solutions to multimany. Efficient partialparallel decoder architecture for quasicyclic non binary ldpc codes. Mar 27, 2019 a novel architecture for elementary check node processing in non binary ldpc decoders. May 26, 2020 with the enhanced performance and convergence speed than their binary counterparts, nb ldpc codes have been considered for emerging wireless communication and storage applications. Lowpower nonbinary ldpc decoder design via adaptive message. As stated earlier, mms algorithm with configuration c3 is used to design hardware resource efficient decoder architecture. Introduction compared to binary lowdensity paritycheck ldpc codes, non binary nb ldpc codes constructed over gfq q2 have better errorcorrecting capability when the codeword length is moderate.
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