Generalized instantaneous parameters and window matching in the time-frequency plane

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Generalized instantaneous parameters and window matching in the time-frequency plane

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Title: Generalized instantaneous parameters and window matching in the time-frequency plane
Author: Jones, Graeme; Boashash, Boualem
Abstract: The concept of instantaneous parameters, which has previously been associated exclusively with 1-D measures like the instantaneous frequency and the group delay, are extended to the 2-D time-frequency plane. Such generalized instantaneous parameters are associated with the short-time Fourier transform. They may also be interpreted as local moments of certain time-frequency distributions. It is shown that these measures enable local signal behavior to be characterized in the time-frequency plane for nonstationary deterministic signals. The usefulness of the generalized instantaneous parameters is demonstrated in their application to optimal selection of windows for spectrograms. This is achieved through window matching in the time-frequency plane. An algorithm is provided that illustrates the performance of this window matching. Results based on simulated and real data are presented.
Description: High resolution Time-Frequency representations are defined by matched filtering and extension of the notions of instantaneous frequency and time delay to generalized instantaneous quantities.
URI: http://hdl.handle.net/10576/10669
Date: 1997-05

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