In Problem 7.26, we considered one procedure for bandpass sampling and reconstruction. A...

In Problem 7.26, we considered one procedure for bandpass sampling and reconstruction. Another procedure, used when x(t) is real, consists of multiplying x(t) by a complex-exponential and then sampling the product. The sampling system is shown in Figure P7.27(a). With x(t) real and with X(jω) nonzero only for , the frequency is chosen to be and the lowpass filter has cutoff frequency .

(a) For X(jω) as shown in Figure P7.27(b), sketch .

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

(c) Determine a system to recover x(t) from .