320 Homework 4, 12(c)

Hiroko Shiraiwa shiraiwa@stanford.edu
Sat, 26 Oct 2002 13:50:47 -0700


Still stuck on homework #4 12(c)?
(odd -> odd proof)
Right now I got an idea how to prove it.

Use the phase shift properties. Odd function is 
phase shift of 2/N samples from an even function.
Then X_o[n] = W^k(2*N)_N X_e[n]. You know X_e[n] is
even, then you just need to prove W^k(2*N)_N is an 
odd function. Finally you can say X_o[n] is a 
multiplication of odd and even function: odd function.

Do you think it works??

Hiroko
-- 
Hiroko Shiraiwa <shiraiwa@stanford.edu>