Let x[n] be a real-valued discrete-time signal whose Fourier transform X(ejw) is zero
Chapter 8, Problem 8.18(choose chapter or problem)
Let x[n] be a real-valued discrete-time signal whose Fourier transform X(ejw) is zero for w 2: 7T/4. We wish to obtain a signal y[n] whose Fourier transform has the property that, in the interval -7r < w :::; 1T, { X(ej(w-~)), Y(ejw) = X(ej(w+~)), 0, '!!_ < w < 37T 2 - 4 - 37T < w :::; 4 otherwise 7T 2 The system in Figure P8.18 is proposed for obtaining y[n] from x[n]. Determine constraints that the frequency response H ( ejw) of the filter in the figure must satisfy for the proposed system to work.
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