The Adaptive Spectrogram

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The Adaptive Spectrogram

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Title: The Adaptive Spectrogram
Author: Jones, G; Boashash, B
Abstract: The spectrogram is used in many non-stationary applications of digital signal processing, including speech analysis, underwater acoustics and time-varying spectrum estimation. The major limitation of the spectrogram, however, is that it is non-unique. The spectrogram is expressible in the form (1) where h(t) is the desired analysis window. Since a spectrogram may take any valid one-dimensional function as a window, there are effectively an infinite number that may be generated. The choice of a certain wiiidow over another may dramatically affect the final form of the spectrogram. If it is desired to generate the best possible spectrogram (under some given criterion), window selection must necessarily be adaptive. More significantly, due to the non-stationary behaviour of time-varying signals in the time-frequency plane, it is also required that the window be dependent on the analysis point considered in the plane. This paper will summarise a new adaptive spectrogram, which utilises iirstantaneous parameters to match appropriate windows in the time-frequency plane.
Description: This paper shows the spectrogram design problem using one-dimensional function as a window, requiring that the window be dependent on the analysis point considered in the plane, and using. instantaneous parameters to match such appropriate windows in the time-frequency plane. (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, the most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated).
URI: http://hdl.handle.net/10576/10806
Date: 1992-09

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