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Improved time-frequency representation of multicomponent signals using exponential kernels

Choi, H.-I., Williams, W.J.·1989·IEEE Transactions on Acoustics, Speech, and Signal Processing

Abstract

The authors introduce a time-frequency distribution of L. Cohen's (1966) class and examines its properties. This distribution is called exponential distribution (ED) after its exponential kernel function. First, the authors interpret the ED from the spectral-density-estimation point of view. They then show how the exponential kernel controls the cross terms as represented in the generalized ambiguity function domain, and they analyze the ED for two specific types of multicomponent signals: sinusoidal signals and chirp signals. Next, they define the ED for discrete-time signals and the running windowed exponential distribution (RWED), which is computationally efficient. Finally, the authors present numerical examples of the RWED using the synthetically generated signals. It is found that the ED is very effective in diminishing the effects of cross terms while retaining most of the properties which are useful for a time-frequency distribution.>

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Metadata

Authors
Choi, H.-I., & Williams, W. J.
Venue
IEEE Transactions on Acoustics, Speech, and Signal Processing
Published
1989-06
Volume
37
Issue
6
Pages
862-871
ISSN
0096-3518 (ISSN-L)
OpenAlex
W2150391795
Cited by
1,299
References
1
FWCI
36.11
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Improved time-frequency representation of multicomponent signals using exponential kernels. https://app.cochat.ai/papers/10.1109/assp.1989.28057
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Choi, H.-I., & Williams, W. J. (1989). Improved time-frequency representation of multicomponent signals using exponential kernels. IEEE Transactions on Acoustics, Speech, and Signal Processing. https://doi.org/10.1109/assp.1989.28057

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