SSP-L 2. Consider the sampling and reconstruction configuration in Fig. SSP-L2(a). The output y(t) of the ideal reconstruction can be found by sending the sampled signal (t)=x(1)p(t) through an ideal low-pass

filter with frequency response H(ja) in Fig. SSP-L2(b). (a) (I) - Let x(t) = 1 + cos (15) and sampling period T=0.1 sec. (ii) - Sketch Xa) and determine if aliasing occurs. Show how you would avoid aliasing (i.e. determine the Nyquist rate and sketch the corresponding X,(ja), then comment on your result.) (iil) - Determine the expression for y(t). (b) Let X(ja)-1/(jo+ 1) and the sampling period 7-1 sec. Sketch the amplitude spectra Xa) and Xa), and determine if aliasing occurs (justify your answer.) Sample at 7 x[n] (a) Ideal reconstruction Fig. SSP-L2. -0.500, H(ja) (b) T 0.500,