A causal discrete-time LTI system, having input x[n] and output y[n], has impulse response h[n] given by: nlm] - [2(})" - (4)"|u1=] %3D Where u[n] represents the unit step function. Using the Discrete-time Fourier Transform, (i) determine the frequency response of the system. (ii) express the dynamics of the system in terms of a differential equation.

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A causal discrete-time LTI system, having input x[n] and output y[n], has
impulse response h[n] given by:
h[n] = [2(})" - (4)"]«[n)
%3D
Where u[n] represents the unit step function.
Using the Discrete-time Fourier Transform,
(i)
determine the frequency response of the system.
(ii)
express the dynamics of the system in terms of a differential equation.
Transcribed Image Text:A causal discrete-time LTI system, having input x[n] and output y[n], has impulse response h[n] given by: h[n] = [2(})" - (4)"]«[n) %3D Where u[n] represents the unit step function. Using the Discrete-time Fourier Transform, (i) determine the frequency response of the system. (ii) express the dynamics of the system in terms of a differential equation.
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