DSP seminar: September 25, 1997

Speaker: Brian Krongold

Title: Frequency-Shift-Invariant Orthonormal Wavelet Packet Representations


Abstract:

It is commonly known that wavelet expansions are very sensitive to translation
of an input signal due to their dyadic structure.  Without proper time
alignment of the signal to the decomposition basis vectors, a compact
expansion may be unattainable.  Recently, work has been done to combat
translation sensitivity by determining the best translation-invariant expansion
of a signal with respect to a set of bases.  However, the dyadic structure of
wavelet expansions also results in frequency alignment sensitivity.  In this
work, we introduce a frequency-shifted wavelet packet library as well as an
efficient best basis algorithm for determining the best signal representation
among all frequency shifts of a signal.