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Discrete Inverse S Transform With Least Square Error in Time-Frequency Filters

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2 Author(s)
Soo-Chang Pei ; Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan ; Pai-Wei Wang

The S transform is useful in time-frequency analysis. Many inverse S transform algorithms have been proposed with different filtering properties in the time-frequency spectrum. In this paper, the transformation matrices of the S transform and two novel least square inverse algorithms are proposed. The first one minimizes the global mean square error of the entire time-frequency spectrum, and the second one considers only the specific interesting time-frequency regions and is more flexible. The proposed inverse algorithms can provide more stable and better performance than the existing ones.

Published in:

Signal Processing, IEEE Transactions on  (Volume:58 ,  Issue: 7 )