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Problem#2: A signal g(t) = sinc² (5xt) is sampled (using uniformly spaced impulses) at a rate of (i) 5 Hz; (ii) 10 Hz; (iii) 20 Hz. For each of the three cases: (a) Sketch the sampled signal. (b) Sketch the spectrum of the sampled signal. (c) Explain whether you can recover the signal g(t) from the sampled signal. (d) If the sampled signal is passed through an ideal low-pass filter of bandwidth 5 Hz, sketch the spectrum of the output signal. • Sketch the sampled signal in time domain, with -0.6< 1 <0.6 sec. Indicate all the necessary values in the sketch. Sketch the spectrum of the sampled signal, with -25

Problem#2: A signal g(t) = sinc² (5xt) is sampled (using uniformly spaced impulses) at a rate of (i) 5 Hz; (ii) 10 Hz; (iii) 20 Hz. For each of the three cases: (a) Sketch the sampled signal. (b) Sketch the spectrum of the sampled signal. (c) Explain whether you can recover the signal g(t) from the sampled signal. (d) If the sampled signal is passed through an ideal low-pass filter of bandwidth 5 Hz, sketch the spectrum of the output signal. • Sketch the sampled signal in time domain, with -0.6< 1 <0.6 sec. Indicate all the necessary values in the sketch. Sketch the spectrum of the sampled signal, with -25

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Problem#2: A signal g(1) = sinc² (5xt) is sampled (using uniformly spaced impulses) at a rate of (i) 5 Hz; (ii) 10 Hz; (iii) 20 Hz. For each of the three cases: (a) Sketch the sampled signal. (b) Sketch the spectrum of the sampled signal. (c) Explain whether you can recover the signal g(t) from the sampled signal. (d) If the sampled signal is passed through an ideal low-pass filter of bandwidth 5 Hz, sketch the spectrum of the output signal. • Sketch the sampled signal in time domain, with -0.6< 1 <0.6 sec. Indicate all the necessary values in the sketch. • Sketch the spectrum of the sampled signal, with -25<K25 Hz. Indicate all the necessary values in the sketch. Explain whether youcanrecover he original signal g() from the sampled signal using an ideal LPF. If possible, determine the cutoff frequency of the LPF. If the sampled signal ispassedthroughanideal LPF with cutofffrequency5 Hz, sketch the spectrum of the output signal.
Transcribed Image Text:Problem#2: A signal g(1) = sinc² (5xt) is sampled (using uniformly spaced impulses) at a rate of (i) 5 Hz; (ii) 10 Hz; (iii) 20 Hz. For each of the three cases: (a) Sketch the sampled signal. (b) Sketch the spectrum of the sampled signal. (c) Explain whether you can recover the signal g(t) from the sampled signal. (d) If the sampled signal is passed through an ideal low-pass filter of bandwidth 5 Hz, sketch the spectrum of the output signal. • Sketch the sampled signal in time domain, with -0.6< 1 <0.6 sec. Indicate all the necessary values in the sketch. • Sketch the spectrum of the sampled signal, with -25<K25 Hz. Indicate all the necessary values in the sketch. Explain whether youcanrecover he original signal g() from the sampled signal using an ideal LPF. If possible, determine the cutoff frequency of the LPF. If the sampled signal ispassedthroughanideal LPF with cutofffrequency5 Hz, sketch the spectrum of the output signal.
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