Analysis of multirate random signals
Koupatsiaris, Dimitrios A.
Therrien, Charles W.
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Multirate digital signal processing techniques have been developed in the recent years for a wide range of applications, such as speech and image compression, digital audio, statistical and adaptive signal processing, numerical solution of differential equations and many other fields. The purpose of this thesis is to extend optimal filtering techniques to random signals sampled at different rates. In particular, two major problems are considered: (1) optimal filtering of two sets of observations at different sampling rates as a multirate Wiener filter, and (2) linear prediction on successive samples of a random process. In the first problem it is shown that the standard Wiener filter can be extended to the multirate case, while preserving its optimality. In the second problem it is shown that multichannel linear prediction on successive samples of a process, yields orthogonal uncorrelated innovations.
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Kuchler, Ryan J. (Monterey, California. Naval Postgraduate School, 2005., 2005-09);This dissertation develops basic theory and applications of statistical multirate signal processing. Specific tools and terminology for describing multirate systems in the time and frequency domains are presented. An optimal ...
Scrofani, James W. (Monterey, California.: Naval Postgraduate School, 2005., 2005-09);Signal processing methods for signals sampled at di.erent rates are investigated and applied to the problem of signal and image reconstruction or superresolution reconstruction. The problem is approached from the viewpoint ...
Hawes, Anthony H. (Monterey, California. Naval Postgraduate School, 2003-09);This thesis addresses the problem of estimating a random process from two observed signals sampled at different rates. The case where the low-rate observation has a higher signal-to- noise ratio than the high-rate observation ...