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      https://www.ias.ac.in/article/fulltext/sadh/040/04/1049-1075

    • Keywords

       

      Mixture of chirp signals; time–frequency plane; instantaneous frequency (IF); model-dependent methods for chirp parameter estimation; Fractional Fourier Transform (FrFT); Generalized Time-Frequency Transform (GTFT); Uncertainty principle; Eigenfunction.

    • Abstract

       

      This paper is targeted towards a general readership in signal processing. It intends to provide a brief tutorial exposure to the Fractional Fourier Transform, followed by a report on experiments performed by the authors on a Generalized Time Frequency Transform (GTFT) proposed by them in an earlier paper. The paper also discusses the extension of the uncertainty principle to the GTFT. This paper discusses some analytical results of the GTFT. We identify the eigenfunctions and eigenvalues of the GTFT. The time shift property of the GTFT is discussed. The paper describes methods for estimation of parameters of individual chirp signals on receipt of a noisy mixture of chirps. A priori knowledge of the nature of chirp signals in the mixture – linear or quadratic is required, as the two proposed methods fall in the category of model-dependent methods for chirp parameter estimation.

    • Author Affiliations

       

      Shishir B Sahay1 T Meghasyam2 Rahul K Roy3 Gaurav Pooniwala4 Sasank Chilamkurthy4 Vikram Gadre4

      1. Military Institute of Technology, Girinagar, Pune 411 025, India
      2. India Institute of Technology Bombay, Mumbai 400 076, India
      3. INS Tunir, Mumbai 400 704, India
      4. Indian Institute of Technology Bombay, Mumbai 400 076, India
    • Dates

       
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