期刊
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY
卷 68, 期 8, 页码 8264-8269出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TVT.2019.2926229
关键词
Expectation Propagation (EP); approximate message passing (AMP); generalized AMP; compressed sensing
资金
- National Natural Science Foundation of China [61671345, 61750110529]
- Key Industry Innovation Chain Project of Shaanxi [2018ZDCXLGY-04-04]
- China Postdoctoral Science Foundation [2018M643580]
A concise expectation propagation (EP)-based message passing algorithm (MPA) is derived for the general measurement channel. By neglecting some high-order infinitesimal terms, the EP-MPA is proven to be equivalent to the generalized approximate message passing (GAMP), which exploits central limit theorem and Taylor expansion to simplify the belief propagation process. Furthermore, for additive white Gaussian noise measurement channels, EP-MPA is proven to be equivalent to the AMP. Such intrinsic equivalence between EP and GAMP/AMP offers a new insight into GAMP and AMP via a unified message passing rule for non-linear processing and may provide clues toward building new MPAs in solving more general non-linear problems.
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