Harmonic retrieval in complex noises based on wavelet transform

  • Authors:
  • Meng Zhang;Lihua Fu;Hongwei Li;Gaofeng Wang

  • Affiliations:
  • Department of Computer Science, Central China Normal University, Wuhan, Hubei 430079, PR China;School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei 430074, PR China;School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei 430074, PR China;CJ Huang Information Technology Research Institute, Wuhan University, Wuhan, Hubei 430072, PR China and Siargo, Inc., 6 Results Way, Cupertino, CA 95014, USA

  • Venue:
  • Digital Signal Processing
  • Year:
  • 2008

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Abstract

A novel approach for frequency estimation of one-dimensional harmonics in multiplicative and additive noises is presented. To overcome the resolution limitation inherent to the traditional Fourier-based algorithms, a wavelet transform is utilized. In this new approach, we use a wavelet mother function with a tunable parameter, which is constructed by modulating a window function. For a given harmonic retrieval problem, the tunable parameter can be adaptively adjusted to achieve a good performance. Some numerical experiments are included to illustrate the merits of this new approach.