An input signal x(t) = cosωct is sampled by an ideal sampling function with ωs= 1.5 ωc. The sampled signal is then filtered with an ideal low pass filter H(ω)= rect(ω/1,5ωc) to form an output signal y(t)
a. Sketch the fourier transform of the sampled signal.
b. Determine y(t). Has aliasing occured?