Electronics and Communication Engineering - Signals and Systems - Discussion

Discussion Forum : Signals and Systems - Section 4 (Q.No. 45)
45.
The range of value "a" for which system will be stable. If impulse response of DT system is = an ∪[n]
a > 1
a < 1
1 < a < ∞
-1 < a < 1
Answer: Option
Explanation:

Given n(n) = an ∪(n)

ROC is |z| > a open the mod function

when z > 0

z > a

z < 0 ⇒ - z > a or ⇒ z < - a

For stability ROC must include unit circle, so

|z| > a or - a < z < + a or -1 < a < + 1.

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