Generalized Representation of Phase Derivatives for Regular Signals

Authors:
C. Cornu;S. Stankovic;C. Ioana;A. Quinquis;L. Stankovic
Affiliations:
Thales Airborne Syst., Brest;-;-;-;-
Venue:
IEEE Transactions on Signal Processing
Year:
2007

Citing 0
Cited 7

A new class of multilinear functions for polynomial phase signal analysis

IEEE Transactions on Signal Processing
Techniques to obtain good resolution and concentrated time-frequency distributions: a review

EURASIP Journal on Advances in Signal Processing
A class of highly concentrated time-frequency distributions based on the ambiguity domain representation and complex-lag moment

EURASIP Journal on Advances in Signal Processing
Detection and localization of transient sources: comparative study of complex-lag distribution concept versus wavelets and spectrogram-based methods

EURASIP Journal on Advances in Signal Processing
Robust time-frequency distributions with complex-lag argument

EURASIP Journal on Advances in Signal Processing - Special issue on robust processing of nonstationary signals
Time-frequency analysis and its application in digital watermarking

EURASIP Journal on Advances in Signal Processing - Special issue on time-frequency analysis and its applications to multimedia signals
Validity-guided fuzzy clustering evaluation for neural network-based time-frequency reassignment

EURASIP Journal on Advances in Signal Processing - Special issue on time-frequency analysis and its applications to multimedia signals

Quantified Score

Hi-index	35.69

Visualization

Abstract

This paper introduces a new generalized complex-lag moment which produces joint time-"phase derivatives" distributions. For the choice of the time-"first-order phase derivative," which stands for time-frequency representation, this distribution can be seen as a form of the Wigner-Ville distribution. Moreover, this generalization leads to distributions with highly reduced inner interferences caused by the nonlinearity of the signal's phase. It can also be seen as a polynomial distribution since the Nth-order distribution produces no inner interferences for polynomial phase law of order N. Implementation of these distributions is addressed. The results are illustrated by examples.