论文标题
嘈杂的一位压缩感测和侧面信息
Noisy One-bit Compressed Sensing with Side-Information
论文作者
论文摘要
当接收器访问侧面信息(SI)时,我们考虑了噪声一位压缩测量值稀疏信号重建的问题。我们假设压缩测量在量化之前被添加剂的白色高斯噪声和量化后的标志射误差损坏。提出了一种从嘈杂的一位压缩测量值进行信号重建的广义近似消息传递方法,然后将其扩展,对于接收器可以访问AIDS信号重建的信号,即侧面信息的情况。侧信息的两种不同方案被认为是A)侧信息,仅由支持信息组成,b)由支持和振幅信息组成的侧面信息。 Si要么是信号的嘈杂版本,要么是信号支持的嘈杂估计。我们使用接收器可用的SI从一位测量中开发重建算法。 Laplacian分布和Bernoulli分布用于建模两种类型的噪声,当将其应用于信号和支持时,分别为上述两种情况产生SI。期望最大化算法用于使用嘈杂的一位压缩测量和SI估算噪声参数。我们表明,一位压缩的基于测量的信号重建对噪声非常敏感,并且通过利用接收器的可用侧信息可以显着改善重建性能。
We consider the problem of sparse signal reconstruction from noisy one-bit compressed measurements when the receiver has access to side-information (SI). We assume that compressed measurements are corrupted by additive white Gaussian noise before quantization and sign-flip error after quantization. A generalized approximate message passing-based method for signal reconstruction from noisy one-bit compressed measurements is proposed, which is then extended for the case where the receiver has access to a signal that aids signal reconstruction, i.e., side-information. Two different scenarios of side-information are considered-a) side-information consisting of support information only, and b) side information consisting of support and amplitude information. SI is either a noisy version of the signal or a noisy estimate of the support of the signal. We develop reconstruction algorithms from one-bit measurements using noisy SI available at the receiver. Laplacian distribution and Bernoulli distribution are used to model the two types of noises which, when applied to the signal and the support, yields the SI for the above two cases, respectively. The Expectation-Maximization algorithm is used to estimate the noise parameters using noisy one-bit compressed measurements and the SI. We show that one-bit compressed measurement-based signal reconstruction is quite sensitive to noise, and the reconstruction performance can be significantly improved by exploiting available side-information at the receiver.