Consider a real, odd, and periodic signal whose Fourier series representation may be expressed as 5
x(t)=Σ (1) Sin(kπi)
k=0 (2)

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