Question 7 1 point possible (graded) You are given the following choices for p(t

Question

Question 7 1 point possible (graded) You are given the following choices for p(t), the periodic signal to be used for modulation" or sampling". You are also given ONE low pass filter, of any value you want. You are expected to do a clean amplitude modulation of the signal (t), as if a sinusoid had been used, and not p(t). Which of these choices are suitable? All signals are periodic. a A signal which has a value '0' 50% of the time and 10 for the other 50% A signal whose value increases from 5 to 5 uniformly and then immediately decreases from 5 to -5 (also uniformly, and then immediately starts increasing again, and so on A signal whose value is 0 most of the time, but shoots up to 100 and stays there for 1% of the time A signal whose value is -1 most of the time, but shoots up to 99 and stays there for 1% of the time A sinusoid shifted along the y-axis, i e. vertically

Explanation / Answer

Question 7

For the periodic signal, we need a sinusoid of a particular frequency, The pulse signals of options first, third and fourth, include a number of frequencies and have a SINC waveform as a froutier transform. Even after passing through the low pass filter, the output wil include more than one low frequencies.

The last option is also not viable, because it provides multiple values for the same values on the x axis.

The sawtooth or possibly triangular waveform mentioned inthe second option plotted between -5 to =5, contains odd harmonics of the fundamental frequency Hence if it is passed through a low pass filter, we can get a clean sinusoidal signal.

Hence correct option is B or the second option.

Question 8

An ideal reconstructor helps recreate the sampled input signal. The input signal is sampled at Nyquist frequency; hence, the ideal reconstructor should provide equalisation to fourier transform of the SAMPLED input signal.

Hence, the first option is correct.

Question 9

The final product of the Linear Shift invariant system and the given equaliser should be unity to provide an output signal without modifying the gain.

Hence the system frequency respose is given by inverse of the equliser.

Hence, option first is correct.

Question 9 b

Since, the equaliser functions between -1/2T to +1/2T, the signal should also be band limited to the same value.

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