Problem

Consider a real, odd, and periodic signal x(t). Fourier series representation may be exp...

Consider a real, odd, and periodic signal x(t). Fourier series representation may be expresses as

Let represent the signal obtained by performing impulse-train sampling on x(t) using a sampling period of T = 0.2.

(a) Does aliasing occur when this impulse-train sampling is performed on x(t)?

(b) If is passed through an ideal lowpass filter with cutoff frequency π/T and passband gain T, determine the Fourier series representation of the output signal g(t).

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