Compressed Coding, AMP-Based Decoding, and Analog Spatial Coupling

This paper considers a compressed-coding scheme that combines compressed sensing with forward error control coding. Approximate message passing (AMP) is used to decode the message. Based on the state evolution analysis of AMP, we derive the performance limit of compressed-coding. We show that compre...

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Bibliographic Details
Published in:IEEE transactions on communications Vol. 68; no. 12; pp. 7362 - 7375
Main Authors: Liang, Shansuo, Liang, Chulong, Ma, Junjie, Ping, Li
Format: Journal Article
Language:English
Published: New York IEEE 01.12.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
approximate message passing
area theorem and analog spatial-coupling
Coding
Compressed sensing
Compression ratio
Coupling
Decoding
Encoding
Error correction
Error correction codes
forward error control coding
Message passing
Modulation
Nonlinear systems
Signal to noise ratio
state evolution
ISSN:0090-6778, 1558-0857
Online Access:Get full text
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Summary:This paper considers a compressed-coding scheme that combines compressed sensing with forward error control coding. Approximate message passing (AMP) is used to decode the message. Based on the state evolution analysis of AMP, we derive the performance limit of compressed-coding. We show that compressed-coding can approach Gaussian capacity at a very low compression ratio. Further, the results are extended to systems involving non-linear effects such as clipping. We show that the capacity approaching property can still be maintained when generalized AMP is used to decode the message. To approach the capacity, a low-rate underlying code should be designed according to the curve matching principle, which is complicated in practice. Instead, analog spatial-coupling is used to avoid sophisticated low-rate code design. In the end, we study the coupled scheme in a multiuser environment, where analog spatial-coupling can be realized in a distributive way. The overall block length can be shared by many users, which reduces block length per-user.
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ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2020.3024871