An AM signal x(t) = a(t)cos(2pif_ct), where the frequency spectrum of a(t) is gi

Question

An AM signal x(t) = a(t)cos(2pif_ct), where the frequency spectrum of a(t) is given below and it is assumed that f_c = 10 f_m. a) Plot the frequency spectrum of x(t). b) Plot the frequency spectrum of y(t) = x(t)cos(2pif_ct). c) An AM receiver is designed to process the AM signal digitally. The maximum sampling frequency of the C-to-D converter available in the market is f_m = f_c/2. Draw a block diagram to describe what needs to be done in order to obtain a(n) = a(nT_s) from the AM signal x(t). How are you going to choose T_s so that no aliasing exists?

Explanation / Answer

A) shift the given a(f) by 10fm to right and 10fm to left

B) what you got in part a shift it to 10fm left and 10 fm right

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