Hello I would like to ask if there is any difference between the following equations. Actually these are the wavelet equations for the filtering and the downsampling! The 2 steps are combined in one! // yhigh[k] = sum_n(x[n]*g[2k-n]) is it the same as yhigh[n] = sum_k(x[2n-k]*g[k]) // ylow[k] = sum_n(x[n]*h[2k-n]) is it the same as ylow[k] = sum_n(x[n]*g[2k-n]) Can we assume that the results given by both equations are equal!! Thanks in advance!
Discrete wavelet transform
Started by ●February 22, 2006
Reply by ●February 22, 20062006-02-22
one more thing that is not clear to me is: in this equation: yhigh[n] = sum_k(x[2n-k]*g[k]) n is the length of the input sequence and k is for the filter length BUT is this equivalent equation ( from Robi's tutorial), yhigh[k] = sum_n(x[n]*g[2k-n]) does k here mean the length of the input sequence and n the filter length as opposite to the previous equations Can anyone give me some hints about this? Thanks again!
