Journal Article10.1515/FREQ-2012-0043
Intensity Reflection Coefficient Based Min-Sum Decoding for Low Density Parity Check Codes
Mohammad Rakibul Islam,Khandaker Sultan Mahmood,Md. Farhan Tasnim Oshim,Md. Moshiur Rahman Farazi +3 more
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TL;DR: A proposal to modify the standard Min-Sum algorithm for decoding LDPC codes by introduction of a factor, intensity reflection coefficient (IRC), in the check to bit node updating process results in a reduced hardware complexity when implemented in VLSI.
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Abstract: Abstract Low Density Parity Check Codes (LDPC) give groundbreaking performance which is known to approach Shannon’s limits for sufficiently large block length. Historically and recently, LDPC have been known to give superior performance than concatenated coding. In the following paper, a proposal to modify the standard Min-Sum (MS) algorithm for decoding LDPC codes is presented. This is done by introduction of a factor, intensity reflection coefficient (IRC),κ in the check to bit node updating process. Simulation results demonstrate that the proposed algorithms are effective in imparting a better performance in terms of a lower bit error rate (BER) at low to medium signal to noise ratio (SNR) when compared to the traditional MS or Belief Propagation (BP) algorithm while adding a minimum amount of complexity. The proposed algorithm results in a reduced hardware complexity when implemented in VLSI.
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Citations
Design of Sharp Roll-Off Lowpass Filter With Ultra Wide Stopband
TL;DR: In this paper, a microstrip lowpass filter is proposed to achieve an ultra wide stopband with 12th harmonic suppression and extremely sharp skirt characteristics, and the operating mechanism of the filter is investigated based on proposed equivalent-circuit model, and an overall good agreement between measured and simulated results is observed.
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An Improved Bit Flipping Min Sum Algorithm with Difference to Sum Ratio Factor Based on Unreliable Received Messages
Mingchun Qiu,Zhi Zhang,Yuzhen Huang +2 more
- 28 Oct 2020
TL;DR: In this article, an improved min sum algorithm with difference to sum ratio factor (DSR-MS) is proposed, which is called bit flipping min-sum algorithm with DSR factor based on unreliable received messages (DSR-URMBFMS), which belongs to the hybrid decision decoding scheme.
References
•Book
Low-Density Parity-Check Codes
Robert G. Gallager
- 01 Jan 1963
TL;DR: A simple but nonoptimum decoding scheme operating directly from the channel a posteriori probabilities is described and the probability of error using this decoder on a binary symmetric channel is shown to decrease at least exponentially with a root of the block length.
•Book
Error control coding : fundamentals and applications
Shu Lin,Daniel J. Costello +1 more
- 01 Jan 1983
TL;DR: This book explains coding for Reliable Digital Transmission and Storage using Trellis-Based Soft-Decision Decoding Algorithms for Linear Block Codes and Convolutional Codes, and some of the techniques used in this work.
5K
On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit
TL;DR: Improved algorithms are developed to construct good low-density parity-check codes that approach the Shannon limit very closely, especially for rate 1/2.
Reduced complexity iterative decoding of low-density parity check codes based on belief propagation
TL;DR: Two simplified versions of the belief propagation algorithm for fast iterative decoding of low-density parity check codes on the additive white Gaussian noise channel are proposed, which greatly simplifies the decoding complexity of belief propagation.
Stochastic decoding of LDPC codes
TL;DR: This letter presents the first successful method for iterative stochastic decoding of state-of-the-art low-density parity-check (LDPC) codes and has a significant potential for high-throughput and/or low complexity iterative decoding.