Question: (a) Prove that the scaling function (x) and the mother wavelet (x) are orthogonal. (b) Prove that the integer translates w(x m) of the
(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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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 full answer
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