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


Ozgen M.

SIGNAL PROCESSING, vol.80, no.2, pp.219-230, 2000 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 80 Issue: 2
  • Publication Date: 2000
  • Doi Number: 10.1016/s0165-1684(99)00124-3
  • Title of Journal : SIGNAL PROCESSING
  • Page Numbers: pp.219-230

Abstract

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. (C) 2000 Elsevier Science B.V. All rights reserved.