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Fast Bayesian Signal Recovery in Compressed Sensing with Partially Unknown Discrete Prior

机译:部分未知离散先验的压缩感知中的快速贝叶斯信号恢复

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Bayesian Approximate Message Passing (BAMP) provides excellent recovery performance in Compressed Sensing (CS), but one seemingly needs to know the pdf of the signal prior. If the shape of the pdf is known but not its parameters, we show how they can be estimated with very low complexity during the BAMP iterations by the well-known Method of Moments (MoM). We compare the new approach with an established scheme from the literature that is based on the Expectation Maximization (EM) algorithm. By simulations we show that the MoM-based BAMP scheme works at least as good as the EM-based approach and with much lower complexity.
机译:贝叶斯近似消息传递(BAMP)在压缩感知(CS)中提供了出色的恢复性能,但似乎需要先了解信号的pdf。如果知道pdf的形状但不知道其参数,我们将展示如何通过众所周知的矩量法(MoM)在BAMP迭代期间以非常低的复杂度对其进行估计。我们将新方法与基于期望最大化(EM)算法的文献中已建立的方案进行比较。通过仿真,我们表明基于MoM的BAMP方案至少与基于EM的方法一样好,并且复杂度低得多。

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