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Let {h[n]}n denote the impulse response of an LTI system S and H(eʲʷ) be the system's frequency response. (a) Express the frequency response H1(eʲʷ) of a system S1 with impulse response h1[n] = eʲʷ⁰ⁿ h[n]
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Let {h[n]}n denote the impulse response of an LTI system S and H(eʲʷ) be the system's frequency

response.
(a) Express the frequency response H1(eʲʷ) of a system S1 with impulse response h1[n] = eʲʷ⁰ⁿ h[n] in terms of the frequency response of S.

User Leopal
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Final answer:

The frequency response H1(eʲʷ) of a system S1 with impulse response h1[n] = eʲʷ⁰ⁿ h[n] can be expressed in terms of the frequency response of system S as H1(eʲʷ) = H(eʲʷ⁻¹).

Step-by-step explanation:

The frequency response H1(eʲʷ) of a system S1 with impulse response h1[n] = eʲʷ⁰ⁿ h[n] can be expressed in terms of the frequency response of system S as follows:

H1(eʲʷ) = H(eʲʷ⁻¹)

This means that the frequency response of S1 is obtained by taking the frequency response of S and replacing eʲʷ with eʲʷ⁻¹.

User Dsatish
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