Thomas, John K., authorScharf, Louis L., authorIEEE, publisher2007-01-032007-01-031998Scharf, Louis L. and John K. Thomas, Wiener Filters in Canonical Coordinates for Transform Coding, Filtering, and Quantizing, IEEE Transactions on Signal Processing 46, no. 3 (March 1998): 647-654.http://hdl.handle.net/10217/746Canonical correlations are used to decompose the Wiener filter into a whitening transform coder, a canonical filter, and a coloring transform decoder. The outputs of the whitening transform coder are called canonical coordinates; these are the coordinates that are reduced in rank and quantized in our finite-precision version of the Gauss-Markov theorem. Canonical correlations are, in fact, cosines of the canonical angles between a source vector and a measurement vector. They produce new formulas for error covariance, spectral flatness, and entropy.born digitalarticleseng©1998 IEEE.Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.quantizingcanonical correlationscanonical coordinatesadaptive filteringtransform codingWiener filtersText