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• W2040388922 abstract "Since its appearing in 1996, the Stockwell transform (S-transform) has been applied to medical imaging, geophysics and signal processing in general. In this paper, we prove that the system of functions (so-called DOST basis) is indeed an orthonormal basis of L^2([0,1]), which is time-frequency localized, in the sense of Donoho-Stark Theorem (1989). Our approach provides a unified setting in which to study the Stockwell transform (associated to different admissible windows) and its orthogonal decomposition. Finally, we introduce a fast -- O(N log N) -- algorithm to compute the Stockwell coefficients for an admissible window. Our algorithm extends the one proposed by Y. Wang and J. Orchard (2009)." @default.
• W2040388922 created "2016-06-24" @default.
• W2040388922 creator A5062916350 @default.
• W2040388922 creator A5084632639 @default.
• W2040388922 date "2014-06-02" @default.
• W2040388922 modified "2023-09-27" @default.
• W2040388922 title "Window-Dependent Bases for Efficient Representations of the Stockwell Transform" @default.
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• W2040388922 hasPublicationYear "2014" @default.
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