Find the maximum frequency for nyquist sampling rate

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Reference no: EM13278317

Nyquist sampling rate condition and aliasing

Consider the signal:

X(t) = sin(0.5)/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 = 2*pi. 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: EM13278317

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