Question

number 2

ECE 300 Continuous-Time Signals and Systems H(jø π/2 Plot the spectrum Z (jø) of the filtered input signal z(), the spectrum Z, (jo) of the sampled signal z.(t), and the spectrum Y(ja) of the reconstructed signal y(t). Show clearly how the output spectrum Y (ja) differs from the original spectrum G(jo) C. Which system, A or B, produces less distortion between the input g(t) and the output y(4) or ()? Explain. You can measure distortion by finding the energy in the difference y(t)-g() (or沁)-:0) Let() be applied to an ideal lowpass filter with a cutoff frequency (passband bandwidth) of 2r2500 rs and a passband gain of T,. Determine the output signal x,(0) Identify any terms in the output signal that are aliases of terms in the input signal x() Partial Answer: 1 + cos(2π2000 Pre-Processing Before Sampling An exponential pulse given by g (t)-е г' is sampled ând then reconstructed 2. A. An ideal impulse sampler and ideal lowpass filter are used, as shown below y(t) Plot the spectrum G, (jo) of the sampled signal g, (t) and the spectrum Y (jo) of the reconstructed signal y (t). Show clearly on your plot where aliasing occurs. You can use MATLAB to sum several "copies" of G(jø) to see the resulting G, (ja). (Part of this problem is to determine what "several copies" actually means.) B. Now suppose the impulse sampler is preceded by an "antialiasing" filter identical to the reconstruction filter.

Answer 1

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