DocumentCode :
1631869
Title :
Comparison of WVD based time-frequency distributions
Author :
Thomas, Merlin ; Jacob, Roshen ; Lethakumary, B.
Author_Institution :
Dept. of Electron. & Commun., Mahatma Gandhi Univ. Coll. of Eng., Thodupuzha, India
fYear :
2012
Firstpage :
1
Lastpage :
8
Abstract :
Time Frequency distributions (TFD) are two-dimensional functions that indicate the time-varying frequency content of one-dimensional signals. The lack of a single distribution that is “best “ for all applications has resulted in a proliferation of TFDs, each corresponding to a different, fixed mapping from signals to the time-frequency plane. A major drawback of all fixed mappings is that, for each mapping, the resulting time frequency representation is satisfactory only for a limited class of signals. This drawback has been overcome by using a signal dependent TFD using a radially Gaussian kernel which has been formulated in Cohen´s class as an optimisation problem. In this paper, we compare the different fixed kernel TFDs of Cohen´s class-Wigner-Ville, Choi-Williams, Zhao-Atlas-Marks and Born-Jordan distributions with the signal dependent TFD by applying them to multi-component signals.
Keywords :
Gaussian distribution; Wigner distribution; optimisation; signal representation; time-frequency analysis; Born-Jordan distribution; Choi-Williams distribution; Cohen´s class-Wigner-Ville distribution; WVD based time-frequency distribution; Zhao-Atlas-Marks distribution; fixed mapping; one-dimensional signals; optimisation problem; radially Gaussian kernel; signal dependent TFD; time frequency representation; time-frequency plane; time-varying frequency content; two-dimensional function; Chirp; Frequency modulation; Kernel; Optimization; Signal resolution; Spectrogram; Time frequency analysis; Ambiguity Function; Born-Jordan; Choi-Williams; Cohen´s class; Radially Gaussian Kernel; Time-Frequency Distribution; Wigner-Ville; Zhao-Atlas-Marks;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Power, Signals, Controls and Computation (EPSCICON), 2012 International Conference on
Conference_Location :
Thrissur, Kerala
Print_ISBN :
978-1-4673-0446-7
Type :
conf
DOI :
10.1109/EPSCICON.2012.6175242
Filename :
6175242
Link To Document :
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