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Engineering · Electrical Engineering
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Discretizetion (Sampling+quantization+encoding) 1. For the signal s(t)-cos(2), plot its waveform, and then illustrate the resulting samples (without prefiltering) with the following sampling intervals: a. T, -0.5sec. b. T, -1sec. c. T, -0.75sec. For each case, also sketch the reconstructed continuous time signal from the samples using linear interpolation (i.e. connecting samples by straight lines). Based on your sketch, determine the fundamental frequency of the reconstructed signal. In which case you had aliasing distortion? What is the minimal sampling frequency and the corresponding sampling interval needed to avoid aliasing? 2. For the sampled signal and each of the sampling periods given in Prob. 1, illustrate the spectrum of the original signal and the spectrum of the sampled signal. Assuming you apply the ideal low pass filter for reconstruction, what is the frequency of the reconstructed signal? Does your solution conform to the answers you got for Prob. 1?

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