Biological signal processing based on time-frequency distribution analysis
The main objective here is to use the time-frequency techniques for the analysis of biomolecular sequences. The mathematical definitions of Cohen's class time-frequency distributions (CTFDs) are firstly reviewed. Some other useful time-frequency distributions (TFDs), such as the Short-time Four...
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Format: | Theses and Dissertations |
Published: |
2008
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Online Access: | https://hdl.handle.net/10356/2495 |
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Institution: | Nanyang Technological University |
Summary: | The main objective here is to use the time-frequency techniques for the analysis of biomolecular sequences. The mathematical definitions of Cohen's class time-frequency distributions (CTFDs) are firstly reviewed. Some other useful time-frequency distributions (TFDs), such as the Short-time Fourier Transform (STFT), the wavelet transform (WT), the Choi-Williams Distribution (CWVD), the Wigner-Ville Distribution (WVD), the Smoothed Pseudo Wigner-Ville Distribution (SPWVD) and the Reassigned Smoothed Pseudo Wigner-Ville Distribution (RSPWVD), are introduced. Their performance in revealing the information of different types of signals and computational cost are evaluated. Among them the reassigned and smoothed TFDs (RSTFDs), such as the RSPWVD, can achieve a very satisfying compromise between the sharpness and the ‘cleanness’ (noise removal) measures of spectrum. |
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