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Discussion :: Signals and Systems

  1. A signal x(n) = sin(ω0n + φ) is the input to a linear time invariant system having a frequency response H(ejω) If the O/P of the system is Ax(n -n0), then the general form of H(ejω) will be

    2. A.
    - n0ω0 + β for any arbitrary real β
    B.
    - n0ω0 + 2pk for any arbitrary integer k
    C.
    n0ω0 + 2pk for any arbitrary integer k
    D.
    - n0ω0 + φ

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    Answer : Option B

    Explanation :

    y(n) = A x(n - n0)

    ⇒ A sin (ω0(n - n0) + Φ)

    ⇒ A sin (ω0 n - n0ω0 + Φ) and ∠4 (ejω) is - n0ω0 + 2pk.

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