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

@article{Pei2010DiscreteI,
title={Discrete Inverse \$S\$ Transform With Least Square Error in Time-Frequency Filters},
author={Soo-Chang Pei and Pai-Wei Wang},
journal={IEEE Transactions on Signal Processing},
year={2010},
volume={58},
pages={3557-3568}
}

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… CONTINUE READING