A new class of multilinear functions for polynomial phase signal analysis

Authors:
Peter O'Shea;Richard Andrew Wiltshire
Affiliations:
School of Engineering Systems, Queensland University of Technology, Brisbane, Australia;GroundProbe Pty., Ltd., South Brisbane, Australia
Venue:
IEEE Transactions on Signal Processing
Year:
2009

Citing 10
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Abstract

This paper introduces a new class of multilinear functions which can be used for analyzing a signal with time-varying frequency. The new class subsumes a number of existing functions, including the higher order ambiguity functions (HAFs), the polynomial Wigner-Ville distributions (PWVDs), and the higher order phase (HP) functions. As well as establishing a link between these existing functions, the new class provides a formalism which allows for the creation of useful new multilinear functions. A number of new functions are derived from the class.