ON CONVOLUTION OF BOAS TRANSFORM OF WAVELETS

Nikhil Khanna, Leena Kathuria · Poincare Journal of Analysis and Applications · 2019

In this paper, we show that the Boas transform of Convolution (crosscorrelation) of two wavelets satisfies the required admissibility and regularity conditions.These resulting new wavelets are then employed to analyze Boas transform of convolved (cross-correlated) signals by means of Boas transform wavelet convolution and cross-correlation theorems.Analogously to Bedrosian theorem, Boas transform product theorem is given.

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