- #1

ace1719

- 23

- 2

## Homework Statement

"Let x[n] be a

*real-valued*DT signal. Using the Pole-Zero plot of X(z), argue as to why:

a. |X(e^jω)| is even in ω.

b. ∠X(e^jω) is odd in ω.

Hint: if x[n] is real, what can we say about the poles and zeros of X(z)?

## Homework Equations

None.

## The Attempt at a Solution

I figure that X(z) will probably of the form, [itex]\frac{(e^jω-z1)(e^jω-z2)...}{(e^jω-p1)(e^jω-p2)...}[/itex], and I know even functions are defined by x(n)=x(-n) and odd functions by x(n)=-x(-n), but beyond that, not much.