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A resolution comparison of several time-frequency representations

Published: 01 February 1992 Publication History

Abstract

Two signal components are considered resolved in a time-frequency representation when two distinct peaks can be observed. The time-frequency resolution limit of two Gaussian components, alike except for their time and frequency centers, is determined for the Wigner distribution, the pseudo-Wigner distribution, the smoother Wigner distribution, the squared magnitude of the short-time Fourier transform, and the Choi-Williams distribution. The relative performance of the various distributions depends on the signal. The pseudo-Wigner distribution is best for signals of this class with only one frequency component at any one time, the Choi-Williams distribution is most attractive for signals in which all components have constant frequency content, and the matched filter short-time Fourier transform is best for signal components with significant frequency modulation. A relationship between the short-time Fourier transform and the cross-Wigner distribution is used to argue that, with a properly chosen window, the short-time Fourier transform of the cross-Wigner distribution must provide better signal component separation that the Wigner distribution

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cover image IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing  Volume 40, Issue 2
February 1992
236 pages

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IEEE Press

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Published: 01 February 1992

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  • (2010)Validity-guided fuzzy clustering evaluation for neural network-based time-frequency reassignmentEURASIP Journal on Advances in Signal Processing10.1155/2010/6368582010(1-14)Online publication date: 1-Feb-2010
  • (2009)Techniques to obtain good resolution and concentrated time-frequency distributionsEURASIP Journal on Advances in Signal Processing10.1155/2009/6735392009(1-43)Online publication date: 1-Jan-2009
  • (2007)Extraction and Analysis of Multiple Periodic Motions in Video SequencesIEEE Transactions on Pattern Analysis and Machine Intelligence10.1109/TPAMI.2007.104229:7(1244-1261)Online publication date: 1-Jul-2007
  • (2005)Detection of epileptic spikes with empirical mode decomposition and nonlinear energy operatorProceedings of the Second international conference on Advances in Neural Networks - Volume Part III10.1007/11427469_72(445-450)Online publication date: 30-May-2005
  • (1997)A review of time–frequency representations, with application to sound/music analysis–resynthesisOrganised Sound10.1017/S13557718980090422:3(193-205)Online publication date: 1-Dec-1997

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