Specific question about downsampling in frequency domain

70 Views Asked by At

I'm confused about why Equation 4.74 can be expressed as Equation 4.76 after the summation index is expressed as in Equation 4.75. Could somebody please explain? Thanks!

Downsampling DTFT

1

There are 1 best solutions below

1
On BEST ANSWER

It is just saying that $\sum_r f(r) = \sum_k \sum_{i=0}^{M-1} f(i+kM)$.

(Assuming that the rearrangement is valid, of course).