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Signals and Systems

Q1:

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

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

ANS:B -

- n0ω0 + 2pk for any arbitrary integer k

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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