Prove the formulas in Proposition 9 60 for the norms of the mother and daughter wavelets Proposition 9 60 All integer translates (x k), for k Z of the Daubechies scaling function, and all wavelets wj,k(x) w(2 x k), j 0, are mutually orthogonal functions with respect to the L inner product Moreover,...

To prove the formulas in Proposition 960 we will use the following properties of the Daubechies wave ...

Prove the formulas in Proposition 9.60 for the norms of the mother and daughter wavelets. Proposition 9.60.

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Prove the formulas in Proposition 9.60 for the norms of the mother and daughter wavelets.

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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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Prove the formulas in Proposition 9.60 for the norms of the mother and daughter wavelets. Proposition 9.60.

Question:

Proposition 9.60. All integer translates (x - k), for k € Z of the Daubechies scaling function, and all wavelets wj,k(x) = w(2¹ x − k), j ≥ 0, are mutually orthogonal functions with respect to the L² inner product. Moreover, ||||² = 1, while || wj,k ||² = 2−³.

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To prove the formulas in Proposition 960 we will use the following properties of the Daubechies wave...View the full answer

Applied Linear Algebra

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