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Improved time-frequency representation of multicomponent signals using exponential kernels
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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Cites
Some features of time-frequency representations of multicomponent signals
Flandrin, P. (2005) · ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing · doi:10.1109/icassp.1984.1172741 · Cited by 239
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Stockwell, R. G. (2007) · Digital Signal Processing · doi:10.1016/j.dsp.2006.04.006 · Cited by 417
Linear frequency-modulated signal detection using Radon-ambiguity transform
Wang, M., Chan, A. K., & Chui, C. K. (1998) · IEEE Transactions on Signal Processing · doi:10.1109/78.661326 · Cited by 257
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Goyal, D., & Pabla, B. S. (2015) · CIRP Journal of Manufacturing Science and Technology · doi:10.1016/j.cirpj.2015.05.004 · Cited by 175
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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- 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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