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Discussion :: Signals and Systems

  1. The range of value "a" for which system will be stable. If impulse response of DT system is = an ∪[n]

    2. A.
    a > 1
    B.
    a < 1
    C.
    1 < a < ∞
    D.
    -1 < a < 1

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    Answer : Option D

    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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