In Section 8.2, we stated the property that if where are the DFS coefficients...

In Section 8.2, we stated the property that if

where are the DFS coefficients of respectively. In this problem, we consider the proof of that property.

(a) Using Eq. (8.11) together with an appropriate substitution of variables, show that can be expressed as

(b) The summation in Eq. (P8.55-1) can be rewritten as

Using the fact that are both periodic, show that

(c) From your results in parts (a) and (b), show that