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Fixed-frequency slice computation of discrete Cohen's bilinear class of time-frequency representations
Date
2000-02-01
Author
Ozgen, MT
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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This communication derives DFT-sample-based discrete formulas directly in the spectral-correlation domain for computing fixed-frequency slices of discrete Cohen's class members with reduced computational cost, both for one-dimensional and multidimensional (specifically two-dimensional (2-D)) finite-extent sequence cases. Frequency domain integral expressions that define discrete representations are discretized to obtain these discrete implementation formulas. 2-D ambiguity function domain kernels are chosen to have separable forms for analytical convenience. Simulations demonstrating the DFT-sample-based computation in particle-location analysis of in-line Fresnel holograms are presented.
Subject Keywords
Time-Frequency Representations
,
Space/Spatial-Frequency Representations
,
Wigner Distribution
,
Ambiguity Function
,
Cohen's Bilinear Class
,
Alias-Free Representations
,
In-Line Fresnel Holograms
URI
https://hdl.handle.net/11511/63809
Journal
SIGNAL PROCESSING
DOI
https://doi.org/10.1016/s0165-1684(99)00124-3
Collections
Department of Electrical and Electronics Engineering, Article