Systems Seminar
Signal Processing and Communication in Canonical Coordinates
Prof. Louis Scharf
University of Colorado at Boulder
Abstract
The Wiener filter finds application in radar, sonar, speech processing,
magnetic recording, and multiuser data communication. In this seminar we
show that canonical correlations may be used to decompose the Wiener filter
into a whitening transform coder, a canonical filter, and a coloring
transform coder. The outputs of the whitening transform coder are
canonical coordinates, and it is these coordinates that are reduced in
dimension and quantized in a reduced-rank, finite-precision Wiener filter.
Canonical correlations may also be used to measure direction cosines
between channel inputs and channel outputs. They bring insightful
decompositions of Hadamard ratio, confidence intervals, entropy, mutual
information, and rate. For the circulant Gaussian channel, canonical
coordinates may be used to illustrate that the capacity solution is a
spread spectrum solution in which all canonical correlations, and direction
cosines, are equalized.
Time and Place: Wed., Jan. 27, 3:30-4:30 pm in 4610 Engr. Hall.
SYSTEMS SEMINAR WEB PAGE:
http://www.cae.wisc.edu/~gubner/seminar/