Estimating the autocorrelation of wide-sense stationary time series is important for a wide range of statistical signal processing and data analysis tasks. Distributed autocorrelation sensing strategies are of interest when multiple pieces or realizations of the time series are measured at different locations. This paper considers a distributed autocorrelation sensing scheme based on randomly filtered power measurements, each compressed down to one bit, without any sensor coordination. A Maximum Likelihood (ML) reconstruction scheme is proposed and is shown to work well, even at high overall compression ratios and with a substantial fraction of bit errors. Whereas the ML formulation appears non-convex, it is proven that it in fact possesses hidden convexity, which enables optimal solution. Simulations are used to illustrate the performance of the proposed ML approach.
|Title of host publication
|Conference Record of the 49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015
|Michael B. Matthews
|IEEE Computer Society
|Number of pages
|Published - Feb 26 2016
|49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015 - Pacific Grove, United States
Duration: Nov 8 2015 → Nov 11 2015
|Conference Record - Asilomar Conference on Signals, Systems and Computers
|49th Asilomar Conference on Signals, Systems and Computers, ACSSC 2015
|11/8/15 → 11/11/15
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