Let xc(t) be a real-valued, bandlimited signal whose Fourier transform is zero for The...

Let x_c(t) be a real-valued, bandlimited signal whose Fourier transform is zero for The sequence x[n] is obtained by sampling x_c(t) at 10 kHz. Assume that the sequence x[n] is zero for n < 0 and n > 999.

Let X[k] denote the 1000-point DFT of x[n]. It is known that X[900] = 1 and X[420] = 5. Determine for as many values of as you can in the region .