Properties of line spectrum pair polynomials: a review

Authors:
Tom Bäckström;Carlo Magi
Affiliations:
Laboratory of Acoustics and Audio Signal Processing, Helsinki University of Technology (TKK), Finland;Laboratory of Acoustics and Audio Signal Processing, Helsinki University of Technology (TKK), Finland
Venue:
Signal Processing - Special section: Distributed source coding
Year:
2006

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Abstract

This review presents mathematical properties of line spectrum pair polynomials, especially those related to the location of their roots, a.k.a. line spectral frequencies. The main results are three interlacing theorems for zeros on the unit circle, which we call the intra-model, inter-model and filtered-model interlacing theorems.