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Unformatted text preview: your outline. 3. A reverb digital lter is given by the following block diagram: + z-4 x[n] y[n] 0.6561 (a) What is the type and the order of this lter? Do not forget to justify your answers. (b) Determine the transfer function H ( z ) of this lter. (c) Draw the pole-zero plot of this lter, then determine its stability (with justi-cation). 4. The signal x ( t ) is a fully rectiFed sinusoid shown below:-20-10 10 20 1 2 3 x(t) t (a) Write an exponential ourier series representation of x ( t ). (b) Determine how many terms must be used if the reconstructed signal were to carry 99.5% of the power of the original signal. Show and shortly explain all your calculations. (c) If the reconstructed signal that carries 99.5% of the power were to be sam-pled, what is the smallest sampling frequency that you could use? 2...
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- Spring '08