Signals and Systems by K. Deergha Rao

Author:K. Deergha Rao
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

(5.24)

If Ω c = 1, the magnitude response |H N (jΩ)| is called the normalized magnitude response. Now, we have

(5.25)

where

(5.26)

Since |s k | = 1, we can conclude that there are 2N poles placed on the unit circle in the s-plane. The normalized transfer function can be formed as

(5.27)

where p l for l = 1, 2,.., N are the left half s-plane poles . The complex poles occur in conjugate pairs.

For example, in the case of N = 2, from Eq. (5.26), we have

The poles in the left half of the s-plane are

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