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articleNo Access
CONVERGENCE OF THE DISCRETE WAVELET TRANSFORM
- JAIME NAVARRO and
- OSCAR HERRERA
International Journal of Wavelets, Multiresolution and Information Processing01 Nov 2012
Preview Abstract
The discrete wavelet transform; depending of the pair of integers (m, n), applied to functions f in L²(R) with respect to an admissible function h in L²(R) of class C^∞ with compact support, is used to prove that f is continuous at x = 0, and furthermore at any x = b in R if and only if there exists the convergence of the discrete wavelet transform, as (m, n) → (-∞, n₁) for any integer n₁.

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