Z Transform - Do i always need 2 poles for every peak?

1. How do you find the poles of Z transform?
2. What is pole frequency?
3. What is the Z transform of a N?

How do you find the poles of Z transform?

The values of z for which H(z) = 0 are called the zeros of H(z), and the values of z for which H(z) is ¥ are referred to as the poles of H(z). In other words, the zeros are the roots of the numerator polynomial and the poles of H(z) for finite values of z are the roots of the denominator polynomial.

What is pole frequency?

A pole frequency corresponds to a corner frequency at which the slope of the magnitude curve decreases by 20 dB/decade, and a zero corresponds to a corner frequency at which the slope increases by 20 dB/decade.

What is the Z transform of a N?

Note: The z transform of a sequence an is given by. ∞∑n=0anz−n.