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Official PYQ · 2005

GATE EC 2005 Set 1 Q61 — LTI Systems

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A signal x(n)=sin⁡(ω0n+ϕ)x(n)=\sin \left(\omega_{0} n+\phi\right) is the input to a linear time-invariant system having a frequency response H(ejω)\text{H}(e^{j \omega}). If the output of the system Ax(n−n0)A x\left(n-n_{0}\right), then the most general form of ∠H(ejω)\angle \mathrm{H}\left(\mathrm{e}^{j \omega}\right) will be

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Answer: B

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