DSP seminar: October 2, 1997

Speaker : Mehmet Kivanc Mihcak

Title : Theory and Design of Signal Adapted FIR Paraunitary Filterbanks

Abstract :
We study the design of signal--adapted FIR paraunitary filter banks,
using energy compaction as the adaptation criterion. We present some
important properties that globally optimal solutions to this optimization
problem satisfy. In particular, we show that the optimal filters
in the first channel of the filter bank are spectral factors of the
solution to a linear semi--infinite programming (SIP) problem.
The remaining filters are related to the first through a matrix
eigenvector decomposition. We are able to obtain globally optimal filter
banks subject to regularity and/or computational complexity constraints.
Numerous experiments are presented to illustrate the main features that
distinguish adapted and nonadapted filters, as well as the effects of the
various constraints. The conjecture that energy compaction and coding gain
optimization are equivalent design criteria, is shown not to hold for FIR
filter banks.