Fixed-frequency slice computation of discrete Cohen's bilinear class of time-frequency representations

Date

2000-02-01

Author

Ozgen, MT

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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

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Department of Electrical and Electronics Engineering, Article

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Citation Formats

M. Ozgen, “Fixed-frequency slice computation of discrete Cohen’s bilinear class of time-frequency representations,” SIGNAL PROCESSING, pp. 219–230, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63809.