Introduction to Time-Frequency Signal Analysis

Time-frequency signal analysis (TFSA) has developed as a significant field in the area of signal processing. It involves the representation and processing of signals with time-varying spectral characteristics. This chapter presents fundamental principles of TFSA and reviews the main contributions to the field, including the most recent advances, such as polynomial Wigner—Ville distributions (PWVD), the high time-frequency resolution B-distribution, and the instantaneous frequency tracking and estimation.

[1]  C. Page.  Instantaneous Power Spectra , 1952 .

[2]  R. Altes.  Detection, estimation, and classification with spectrograms , 1980 .

[3]  M. Bastiaans,et al.  Gabor's expansion of a signal into Gaussian elementary signals , 1980, Proceedings of the IEEE.

[4]  John R. Taylor.  Spin and Isospin in S‐Matrix Theory , 1966 .

[5]  B. V. K. Vijaya Kumar,et al.  Performance Of Wigner Distribution Function Based Detection Methods , 1984 .

[6]  Carl W. Helstrom,et al.  An expansion of a signal in Gaussian elementary signals (Corresp.) , 1966, IEEE Trans. Inf. Theory.

[7]  Theo A. C. M. Claasen,et al.  On positivity of time-frequency distributions , 1985, IEEE Trans. Acoust. Speech Signal Process..

[8]  Boualem Boashash,et al.  An efficient real-time implementation of the Wigner-Ville distribution , 1987, IEEE Trans. Acoust. Speech Signal Process..

[9]  Irving S. Reed,et al.  A generalization of the Gabor-Helstrom transform (Corresp.) , 1967, IEEE Trans. Inf. Theory.

[10]  August W. Rihaczek,et al.  Signal energy distribution in time and frequency , 1968, IEEE Trans. Inf. Theory.

[11]  Patrick Flandrin,et al.  Some features of time-frequency representations of multicomponent signals , 1984, ICASSP.

[12]  S. Kay,et al.  On the optimality of the Wigner distribution for detection , 1985, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[13]  Dennis Gabor,et al.  Theory of communication , 1946 .

[14]  W. Martin,et al.  Time-frequency analysis of random signals , 1982, ICASSP.

[15]  Boualem Boashash,et al.  High resolution Wigner-Ville analysis , 1987 .

[16]  H. Szu.  Two -dimensional optical processing of one- dimensional acoustic data , 1982 .

[17]  Gloria Faye Boudreaux-Bartels,et al.  Time-frequency signal processing algorithms: analysis and synthesis using wigner distributions , 1984 .

[18]  C. Turner.  On the Concept of an Instantaneous Power Spectrum, and Its Relationship to the Autocorrelation Function , 1954 .

[19]  Boualem Boashash,et al.  Recognition of time-varying signals in the time-frequency domain by means of the Wigner distribution , 1984, ICASSP.

[20]  Jeffrey D. Ullman,et al.  On the capabilities of codes to correct synchronization errors , 1967, IEEE Trans. Inf. Theory.

[21]  A. Dziewoński,et al.  A technique for the analysis of transient seismic signals , 1969 .

[22]  R. Altes.  Sonar for generalized target description and its similarity to animal echolocation systems. , 1976, The Journal of the Acoustical Society of America.

[23]  E. Wigner.  On the quantum correction for thermodynamic equilibrium , 1932 .