Wiener filters in canonical coordinates for transform coding, filtering, and quantizing

Wiener filters in canonical coordinates for transform coding, filtering, and quantizing Scharf, Louis L. ; Thomas, John K. "This work supported by the National Science Foundation under Contract MIP-9529050 and by the Office of Naval Research under Contract N00014-89-J-1070." Canonical 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. Colorado State University. Libraries 1998 text ; image application/pdf ECElls00012.pdf FACFECEN100401ARTI eng c1998 IEEE

Wiener filters in canonical coordinates for transform coding, filtering, and quantizing

Scharf, Louis L. ; Thomas, John K.

"This work supported by the National Science Foundation under Contract MIP-9529050 and by the Office of Naval Research under Contract N00014-89-J-1070."

Canonical 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.

Colorado State University. Libraries

1998

text ; image

application/pdf

ECElls00012.pdf

FACFECEN100401ARTI

eng

c1998 IEEE