ELE 792 Midterm: ELE 792 Fall 2015 Midterm

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Consider a continuous-time, real-valued bandpass signal xbp(t) with the spectrum xbp(f ) = Figure 1: spectrum of the bandpass signal xbp(t). Determine the minimum sampling frequency fs to sample xbp(t) without aliasing. Sketch the spectrum of the sampled signal for |f | 60 hz. 10 pts c. repeat part (a) if the bandpass signal spectrum is as shown in figure (2) Figure 2: spectrum of the baseband signal xbp(t). Let x[n] be a discrete-time signal sampled at fs = 6 khz. We want to convert the sampling frequency of x[n]. Assume that you have access to: a downsampler (with arbitrary interger-valued downsampling factor), an upsampler (with arbitrary interger-valued upsampling factor), a lowpass lter h3(z) with real-valued coef cients, cutoff frequency /3 and order. N3 = 149 (150 coef cients): a lowpass lter h5(z) also with real-valued coef cients, cutoff frequency /5 and order. Design a sampling rate converter that will change the sampling frequency of x[n] to.

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