The signal x(t) isa ideally sampled at fs =1kHz rate. The sampled signal is then bandlimited to 500 Hz using an ideal lowpass reconstruction filter having a gain of Ts in the passband and a bandwidth of B=500 Hz. Find the output of the reconstructed filter x, (t) for the following inputs to the sampler. (a) If x(t) =4cos(200t)+4cos(1400zt).

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The signal x(t) isa ideally sampled at f; =1kHz rate. The sampled signal is then bandlimited to
500 Hz using an ideal lowpass reconstruction filter having a gain of Ts in the passband and a
bandwidth of B=500 Hz. Find the output of the reconstructed filter x,(t) for the following inputs to
the sampler.
(a) If x(t)=4cos(200rt)+4cos(1400t).
(b) If x(t)=4cos(400t) cos(1200at).
Transcribed Image Text:The signal x(t) isa ideally sampled at f; =1kHz rate. The sampled signal is then bandlimited to 500 Hz using an ideal lowpass reconstruction filter having a gain of Ts in the passband and a bandwidth of B=500 Hz. Find the output of the reconstructed filter x,(t) for the following inputs to the sampler. (a) If x(t)=4cos(200rt)+4cos(1400t). (b) If x(t)=4cos(400t) cos(1200at).
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