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Consider an LTI system with impulse response h(t) = z(t - 0.5), where 1 sin(4t) z(t) = 2 sinc 2 t t 27 8T

Consider an LTI system with impulse response h(t) = z(t - 0.5), where 1 sin(4t) z(t) = 2 sinc 2 t t 27 8T a.

Consider an LTI system with impulse response h(t) = z(t - 0.5), where 1 sin(4t) z(t) = 2 sinc 2 t t 27 8T a. (12 pts) Determine the spectrum H(jw) of h(t). b. (12 pts) Determine and plot the phase spectrum ZH (jw) of h(t). c. (16 pts) Determine the output y(t) of the system (with impulse response h(t) defined above) to the input signal 1 3 x(t) = = -- + 4 = 12 1 cos(3mt) + sin(6t). 3

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a Determine the spectrum Hj of ht The spectrum of a signalhtis given by the Fourier transform ofhtwh... blur-text-image

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