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Finding relationship between convolution, Stationary Wavelet Transform.

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user215806

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I have a problem where I have to implement Stationary Wavelet Transform and I am constrained that I can only up sample my input and not the filters. Is there a way to map convolution relationship between signals this way?

On in matlab syntax:

conv(upsample(A,2), B) == conv(upsample(B,2), A)

where A is input, and B is filter co-efficients.
 

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