Consider the signal The signal is sampled to obtain the signal x(t) = sin 3t t...

 

Transcribed Image Text:

Consider the signal The signal is sampled to obtain the signal x(t) = sin 3t πt x[n] = x(nT) with Fourier transform X(e). 1. What is the minimum sampling frequency ws = 2 that can be used to avoid aliasing? In the following questions assume that the sampling frequency is w, = 4. 2. Sketch the Fourier transform X(e) of x[n]. The signal, sampled with sampling frequency is w = 4, is reconstructed with an ideal reconstruction filter with H (jw) = -6 { 3. Find an expression for the output y(t) of the filter. |w| < 2 0 otherwise Consider the signal The signal is sampled to obtain the signal x(t) = sin 3t πt x[n] = x(nT) with Fourier transform X(e). 1. What is the minimum sampling frequency ws = 2 that can be used to avoid aliasing? In the following questions assume that the sampling frequency is w, = 4. 2. Sketch the Fourier transform X(e) of x[n]. The signal, sampled with sampling frequency is w = 4, is reconstructed with an ideal reconstruction filter with H (jw) = -6 { 3. Find an expression for the output y(t) of the filter. |w| < 2 0 otherwise