$A$-transform of Wavelet Frames

F. A. Shah, N. A. Sheikh


In this paper, we introduced the concept of $A$-transform $A = (a_{p,q,j,k})$ and study the action of $A$ on $f\in L^2(\mathbb{R}^+)$ and on its wavelet coefficients. Further, we also establish the Parseval frame condition for $A$-transform of $f \in L^2(\mathbb{R}^+)$ whose wavelet series expansion is known.


$A$-transform; Wavelet frame; Walsh function; Walsh-Fourier transform

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