Instantaneous frequency estimation of interfering FM signals through time-scale isolevel curves

  • Authors:

  • V. Bruni;S. Marconi;B. Piccoli;D. Vitulano

  • Affiliations:

  • Department of S.B.A.I, University of Rome 'La Sapienza', via A. Scarpa 10, 00161 Rome, Italy and Istituto per le Applicazioni del Calcolo 'M.Picone', National Research Council (C.N.R), Via dei Tau ...;Department of S.B.A.I, University of Rome 'La Sapienza', via A. Scarpa 10, 00161 Rome, Italy;Department of Mathematical Sciences, Rutgers University - Camden 311 N 5th Street, Camden, NJ 08102, United States;Istituto per le Applicazioni del Calcolo 'M.Picone', National Research Council (C.N.R), Via dei Taurini 19, 00185 Rome, Italy

  • Venue:
  • Signal Processing
  • Year:
  • 2013

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Abstract

This paper investigates the possibility of extracting information regarding two or more frequency modulated (FM) signals in almost complete interference. To this aim, a novel wavelet-based approach for the estimation of instantaneous frequency (IF) is presented. It is first proved that the modulus of the Analytic Wavelet Transform (referred to as scalogram) of one or more FM signals obeys a time-scale evolution law whose isolevel curves (ICs) depend on signal IF. Hence, it is shown that scalogram points not belonging to ridge can provide a more robust IF estimate in case of strong interference. Experimental results confirm that the proposed approach improves ridge-based IF estimation, even in presence of noise.