Determine what is the sampled signal x equal to

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Reference no: EM13279237

Consider the signal
x(t) =sin(0.5t) / 0.5t
(a) Find the Fourier transform X(Ω) of x(t).
(b) Is x(t) band limited? If so, find its maximum frequency Ωmax.
(c) Suppose that Ts = 2π. How does Ωs relate to the Nyquist frequency 2Ωmax? Explain.
(d) What is the sampled signal x(nTs) equal to? Carefully plot it and explain if x(t) can be reconstructed.

Reference no: EM13279237

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