An iterative method for instantaneous frequency estimation

In this paper, we propose an iterative method to estimate the instantaneous frequency of a signal based on the discrete evolutionary transform (DET). The DET provides a representation for nonstationary signals and a time-frequency kernel that permits us to obtain the time-dependent spectrum of the signal. We will show the instantaneous phase and the corresponding instantaneous frequency (IF) can also be computed from the evolutionary kernel. Estimation of IF is of general interest in time-frequency analysis. Implementation of the IF estimation is done by masking and a recursive nonlinear correction procedure. The proposed estimation is valid for monocomponent as well as multicomponent signals. The estimation procedure is illustrated by means of examples.

[1]  Aydin Akan,et al.  Discrete evolutionary transform for time-frequency signal analysis , 2000, J. Frankl. Inst..

[2]  Aydin Akan,et al.  Evolutionary spectral analysis using a warped Gabor expansion , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[3]  Ronald W. Schafer,et al.  Digital Processing of Speech Signals , 1978 .

[4]  Chenshu Wang,et al.  Optimum interference excision in spread spectrum communications using open-loop adaptive filters , 1999, IEEE Trans. Signal Process..

[5]  Boualem Boashash,et al.  Estimating and interpreting the instantaneous frequency of a signal. II. A/lgorithms and applications , 1992, Proc. IEEE.

[6]  Anna Scaglione,et al.  Adaptive time-varying cancellation of wideband interferences in spread-spectrum communications based on time-frequency distributions , 1999, IEEE Trans. Signal Process..

[7]  Raungrong Suleesathira,et al.  Interference mitigation in spread spectrum using discrete evolutionary and Hough transforms , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[8]  P. Loughlin,et al.  Comments on the interpretation of instantaneous frequency , 1997, IEEE Signal Processing Letters.

[9]  M. B. Priestley,et al.  Non-linear and non-stationary time series analysis , 1990 .

[10]  Khaled H. Hamed,et al.  Time-frequency analysis , 2003 .

[11]  A. Alcan,et al.  Signal-adaptive evolutionary spectral analysis using instantaneous frequency estimation , 1998, Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380).

[12]  Aydin Akan,et al.  Evolutionary chirp representation of non-stationary signals via Gabor transform , 2001, Signal Process..

[13]  Aydin Akan,et al.  Multi-window Gabor expansion for evolutionary spectral analysis , 1997, Signal Process..