High resolution time-frequency analysis by fractional domain warping
Author
Özdemir, Ahmet Kemal
Durak, Lütfiye
Arıkan, Orhan
Date
2001-05Source Title
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Publisher
IEEE
Pages
3553 - 3556
Language
English
Type
Conference PaperItem Usage Stats
126
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Abstract
A new algorithm is proposed to obtain very high resolution time-frequency analysis of signal components with curved time-frequency supports. The proposed algorithm is based on fractional Fourier domain warping concept introduced in this work. By integrating this warping concept to the recently developed directionally smoothed Wigner distribution algorithm [1], the high performance of that algorithm on linear, chirp-like components is extended to signal components with curved time-frequency supports. The main advantage of the algorithm is its ability to suppress not only the cross-cross terms, but also the auto-cross terms in the Wigner distribution. For a signal with N samples duration, the computational complexity of the algorithm is O(N log N) flops for each computed slice of the new time-frequency distribution.
Keywords
Fractional Fourier transform domainTime frequency analysis
Wigner distribution
Algorithms
Computational complexity
Fourier transforms
Frequency domain analysis
Time domain analysis
Signal processing