Title
Compressed Coding, AMP-Based Decoding, and Analog Spatial Coupling
Abstract
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.
Year
DOI
Venue
2020
10.1109/TCOMM.2020.3024871
IEEE Transactions on Communications
Keywords
DocType
Volume
Compressed sensing,forward error control coding,approximate message passing,state evolution,area theorem and analog spatial-coupling
Journal
68
Issue
ISSN
Citations 
12
0090-6778
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Shansuo Liang111.71
Chulong Liang201.01
Junjie Ma300.68
Li Ping441.75