Let (x) be any scaling function, (x) the corresponding mother wavelet and j,k (x) the wavelet

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Let φ(x) be any scaling function, ω(x) the corresponding mother wavelet and ω_j,k(x) the wavelet descendants. Prove that

(a) ΙΙφΙΙ = ΙΙωΙΙ.

(b) ΙΙω_j,kΙΙ = 2^−jΙΙφΙΙ.

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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Question Posted: Apr 28, 2023 08:45 AM

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Let (x) be any scaling function, (x) the corresponding mother wavelet and j,k (x) the wavelet

Question:

Step by Step Answer:

a To prove that we can use the fact that the wavelet function x and scaling function x are orthogona...View the full answer

Applied Linear Algebra

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