A signal x(t) is sampled with no aliasing using an ideal sampler. The spectrum of the sampled signal is shown in Figure 8.17.

(a) Determine the sampling period T_s used.

(b) Determine the signal x(t).

(c) Sketch and label the magnitude response of an ideal low-pass filter that can be used to recover the original signal x(t) from the sampled signal x_s(t) without distortion.

Figure 8.17:

T, x(t) х,(0) X,(N) 2 Ω п 41 — 4л —п п