Fast B-spline Transforms for Continuous Image Representation and Interpolation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Continuous wavelet transform with arbitrary scales and O(N) complexity
Signal Processing
SIAM Journal on Scientific Computing
A basis for efficient representation of the S-transform
Digital Signal Processing
A window width optimized S-transform
EURASIP Journal on Advances in Signal Processing
Efficient approximation of Gaussian filters
IEEE Transactions on Signal Processing
Localization of the complex spectrum: the S transform
IEEE Transactions on Signal Processing
The S-Transform and Its Inverses: Side Effects of Discretizing and Filtering
IEEE Transactions on Signal Processing
The -Transform From a Wavelet Point of View
IEEE Transactions on Signal Processing - Part I
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In this paper, we propose two fast, spline based, algorithms for computing the Stockwell Transform or the S-transform. It is a redundant, time-frequency representation that has certain desirable features which make it an attractive choice for signal analysis in different areas and motivated by its diverse applications, we seek to reduce its computational complexity. The S-transform bears an acute resemblance with the Gabor transform and can also be associated to the Continuous Wavelet Transform (CWT). Our formulation is based on the above mentioned connectivity with the two classical time-frequency tools. What singles out our approach is that it is recursive in nature and leads to a complexity of O(N)-for arbitrary scales, independent of scale of window.