15 papers · ranked by Valyu relevance
Amit Berman, Ariel Doubchak, Uri Erez, Tal Philosof + 1 more
This work develops a rate-distortion-based approach to stochastic Chase decoding of algebraic codes over binary memoryless symmetric (BMS) channels, replacing the heuristics traditionally used to determine flip probabilities with information-theoretically grounded flipping rules. In particular, we reinterpret…
Andreas Straßhofer, Diego Lentner, Gianluigi Liva, Alexandre Graell i Amat
'Alexandre Graell i Amat'] Abstract—Chase-Pyndiah decoding is widely used for decoding product codes. However, this method is suboptimal and requires scaling the soft information exchanged during the iterative processing. In this paper, we propose a framework for obtaining the scaling coefficients based on maximizing…
Enrico Testi, Enrico Paolini
—Ultra-reliable low-latency communications (URLLC) demand decoding algorithms that simultaneously offer high reliability and low complexity under stringent latency constraints. While iterative decoding schemes for LDPC and Polar codes offer a good compromise between performance and complexity, they fall short in…
Hao Wang, Wei Zhang, Yanyan Chang, Jiajing Gao + 2 more
'Jerry D. Gibson'] A novel time-varying channel adaptive low-complexity chase (LCC) algorithm with low redundancy is proposed, where only the necessary number of test vectors (TVs) are generated and key equations are calculated according to the channel evaluation to reduce the decoding complexity. The algorithm…
Wenwu Zhu, Min Zhu, Baoming Bai
In this paper, we propose a low-complexity ordered-reliability-bits Chase (ORB-Chase) decoding algorithm for BCH codes. The proposed algorithm differs from the traditional Chase algorithm in two key aspects. First, it employs the logical weight as a metric to generate test error patterns (TEPs). Second, it introduces…
Dmitry Artemasov, Oleg Nesterenkov, Kirill Andreev, Pavel Rybin + 1 more
—Iterative decoding is essential in modern communication systems, especially optical communications, where error-correcting codes such as turbo product codes (TPC) and staircase codes are widely employed. A key factor in achieving high error correction performance is the use of soft-decision decoding for component…
Jiaxing Li, Shuwen Zhang, Zhisong Bie
—Polar codes have gained significant attention in channel coding for their ability to approach the capacity of binary input discrete memoryless channels (B-DMCs), thanks to their reliability and efficiency in transmission. However, existing decoders often struggle to balance hardware area and performance. Stochastic…
Natalie A Steinemann, Gabriel M Stine, Eric M Trautmann, Ariel Zylberberg + 2 more
Neurobiological investigations of perceptual decision-making have furnished the first glimpse of a flexible cognitive process at the level of single neurons^1,2^. Neurons in the parietal and prefrontal cortex^3–6^ are thought to represent the accumulation of noisy evidence, acquired over time, leading to a decision.…
Li Deng, Kai Tao, Zhiping Shi, You Zhang + 5 more
In this paper, some optimized encoding and decoding schemes are proposed for the generalized LDPC convolutional codes (GLDPC-CCs). In terms of the encoding scheme, a flexible doping method is proposed, which replaces multiple single parity check (SPC) nodes with one generalized check (GC) node. Different types of BCH…
Francesc Molina, Albert Guillen i Fabregas
This manuscript investigates channel capacity under mismatched stochastic likelihood decoding. We derive Feinstein- and Verdú-Han-style bounds on the error probability coded communication. These are used to obtain a general information-spectrum formula for the channel capacity under mismatched stochastic decoding. The…
Anush Mahajan, Bhaswar Ghosh
Living organisms are required to sense the environment accurately in order to ensure appropriate responses. The cells utilize specific signaling pathways to estimate the signal. The accuracy of estimating the input signal is severely limited by noise stemming from inherent stochasticity of the chemical reactions…
Rachna Srivastava, Vincent C. Gaudet, Patrick Mitran
This paper describes a field-programmable gate array (FPGA) implementation of a fixed-point low-density lattice code (LDLC) decoder where the Gaussian mixture messages that are exchanged during the iterative decoding process are approximated to a single Gaussian. A detailed quantization study is first performed to find…
Qian Zeng, Ran Li, Jin Wang, Hong Qian
Errors are inevitable in information processing and transfer. While error correction is widely studied in engineering, the underlying physics is not fully understood. Due to the complexity and energy exchange involved, information transmission should be considered as a nonequilibrium process. In this study, we…
Maximilian Gehri, Lukas Stelzl, Heinz Koeppl
Biochemical systems process signals through stochastic reaction dynamics that are inherently continuous in time and often exhibit memory, feedback, and nonequilibrium driving. At the same time, they are frequently modeled by effective reactions, e.g., multi-step processes such as transcription are treated as single…
Jia Lu, Ryan Tsoi, Nan Luo, Yuanchi Ha + 8 more
Dynamical systems often generate distinct outputs according to different initial conditions, and one can infer the corresponding input configuration given an output. This property captures the essence of information encoding and decoding. Here, we demonstrate the use of self-organized patterns, combined with machine…