Question

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

a.

- n₀ω₀ + β for any arbitrary real β

b.

- n₀ω₀ + 2πk for any arbitrary integer k

c.

n₀ω₀ + 2πk for any arbitrary integer k

d.

- n₀ω₀ + φ

Answer: (b). - n₀ω₀ + 2πk for any arbitrary integer k

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

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