|| Bayes-Optimal Convolutional AMP
||Keigo Takeuchi, Toyohashi University of Technology, Japan|
||D3-S6-T3: Message Passing
||Wednesday, 14 July, 23:40 - 00:00
||Thursday, 15 July, 00:00 - 00:20
To improve the convergence property of approximate message-passing (AMP), convolutional AMP (CAMP) has been proposed. CAMP replaces the Onsager correction in AMP with a convolution of messages in all preceding iterations while it uses the same low-complexity matched filter (MF) as AMP. This paper derives state evolution (SE) equations to design the Bayes-optimal denoiser in CAMP. Numerical results imply that CAMP with the Bayes-optimal denoiser—called Bayes-optimal CAMP—can achieve the Bayes-optimal performance for right-orthogonally invariant sensing matrices with low-to-moderate condition numbers.