Problem 4

This problem deals with one procedure of bandpass sampling and reconstruction. This procedure, used when is real, consists of multiplying by a complex exponential and then sampling the product. The sampling system is shown in fig. (a) below. With real and with nonzero only for , the frequency is chosen to be , and the lowpass filter has cutoff frequency .

(a) For shown in fig. (b) , sketch .

(b) Determine the maximum sampling period T such that is recoverable from .

(c) Determine a system to recover from .

Fig. (a)

  Fig. (b)