(a) Prove that the scaling function (x) and the mother wavelet (x) are orthogonal. (b) Prove that...
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(a) Prove that the scaling function φ(x) and the mother wavelet ω(x) are orthogonal.
(b) Prove that the integer translates w(x − m) of the mother wavelet are mutually orthogonal.
(c) Prove orthogonality of all the wavelet offspring ωj,k(x).
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Step by Step Answer:
a To prove that the scaling function x and the mother wavelet x are orthogonal we need to show that their inner product is zero The inner product of two functions fx and gx is defined as f g fxgx dx w...View the full answer
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