- #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.