Spatially Coupled Sparse Codes on Graphs - Theory and Practice

Abstract

Since the discovery of turbo codes 20 years ago and the subsequent re-discovery of low-density parity-check codes a few years later, the field of channel coding has experienced a number of major advances. Up until that time, code designers were usually happy with performance that came within a few decibels of the Shannon Limit, primarily due to implementation complexity constraints, whereas the new coding techniques now allow performance within a small fraction of a decibel of capacity with modest encoding and decoding complexity. Due to these significant improvements, coding standards in applications as varied as wireless mobile transmission, satellite TV, and deep space communication are being updated to incorporate the new techniques. In this paper, we review a particularly exciting new class of low-density parity-check codes, called spatially-coupled codes, which promise excellent performance over a broad range of channel conditions and decoded error rate requirements.

Submitted to the IEEE Communications Magazine

Cited by in corpus (13)

• Advances in Detection and Error Correction for Coherent Optical Communications: Regular, Irregular, and Spatially Coupled LDPC Code Designs
• A Scaling Law to Predict the Finite-Length Performance of Spatially-Coupled LDPC Codes
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• Distributed satellite information networks: Architecture, enabling technologies, and trends
• A New Class of Multiple-rate Codes Based on Block Markov Superposition Transmission
• Near-Optimal Coding for Many-user Multiple Access Channels
• Finite-Length Scaling of Spatially Coupled LDPC Codes Under Window Decoding Over the BEC
• Bayes-Optimal Estimation in Generalized Linear Models via Spatial Coupling
• Performance Analysis of Block Markov Superposition Transmission of Short Codes
• Design of Irregular SC-LDPC Codes With Non-Uniform Degree Distributions by Linear Programing
• Nested Array-Based Spatially Coupled LDPC Codes
• Variations of the McEliece Cryptosystem
• Finite-Blocklength and Error-Exponent Analyses for LDPC Codes in Point-to-Point and Multiple Access Communication