Now that were familiar with the powerful convolution theorem

Now that we’re familiar with the powerful convolution theorem, think about the discrete system shown in Figure P5–12(a). Figure P5-12 Given that x(n)’s spectrum is the X(m) shown in Figure P5–12(b): (a) Draw the Y(m) spectrum of sequence y(n). (We’re not worried about the vertical axis scale here, merely the frequency axis and spectral shape of Y(m).) (b) Will aliasing errors occur in the y(n) = x(n)2 output? (That is, will spectral replications in Y(m) overlap each other?) (c) What is x(n)’s maximum one-sided bandwidth that will avoid aliasing errors in y(n)? (Stated in different words, what is the maximum one-sided bandwidth of x(n) that will avoid overlapped spectral replications in Y(m)?)

Solution

please upload the picture correctly, we are not able to see the picture.