A method for instantaneous frequency tracking of multiple narrowband signals

Adam B. Fineberg, Richard J. Mammone

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

An adaptive technique to compute the Fourier coefficients of time-varying signals is presented. The algorithm is based on a decomposition of the signal onto a set of sinusoids which are not constrained to be linearly independent. The Kaczmarz Row Action Projection algorithm is used to solve the decomposition as a constrained least squares problem. An adaptive strategy is used to partition the frequency spectrum into isolated narrowband regions. The algorithm updates the spectral estimates of the resulting frequency bands on a sample by sample basis in the time domain. The new technique produces a signal decomposition with very good localization in both time and frequency domains. The detection of tones spaced closer than that expected by the uncertainty principle is demonstrated. The performance of the method for fast frequency tracking of multiple tones is also presented. The instantaneous frequency tracking capability of the new algorithm is shown by computer simulation to offer certain advantages over that of the analytic signal and the Wigner distribution methods. Computational complexity issues of the new method are also discussed.

Original languageEnglish (US)
Pages (from-to)29-44
Number of pages16
JournalSignal Processing
Volume29
Issue number1
DOIs
StatePublished - Oct 1992

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

Keywords

  • Time-varying spectral estimation
  • frequency tracking
  • super-resolution

Fingerprint Dive into the research topics of 'A method for instantaneous frequency tracking of multiple narrowband signals'. Together they form a unique fingerprint.

Cite this