Letter to the editor: Stockwell and wavelet transforms

被引:35
作者
Gibson, Peter C.
Lamoureux, Michael P.
Margrave, Gary F.
机构
[1] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada
[2] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada
[3] Univ Calgary, Dept Geol & Geophys, Calgary, AB T2N 1N4, Canada
关键词
continuous wavelet transform; Stockwell transform; resolution of identity;
D O I
10.1007/s00041-006-6087-9
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
Recent applied literature introduces the Stockwell transform (S-transform) as a new approach to time-frequency analysis. It is the purpose of this letter to encourage the interaction between the wavelet and the Stockwell communities by demonstrating that-up to minor modifications-the S-transform is a special case of the well-known continuous wavelet transform via a Morlet-type mother wavelet, with the features of a linear frequency scale, and an amplitude and modulation adjustment in phase space. The extensive research and applications obtained for the continuous wavelet transform can therefore be directly applied to the Stockwell domain.
引用
收藏
页码:713 / 721
页数:9
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