Sampling Signals (3/13) - Fourier Transform of an Impulse Sampled Signal

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We investigate impulse sampling in the frequency domain, i.e. we derive an expression for the Fourier Transform (FT) of a signal that has been impulse sampled.  If x(t) is the continuous-time signal with corresponding FT X(w), the impulse sampled version of x(t) has a FT that consists of an infinite collection of X(w) shifted up and down the frequency axis.  Each shifted version of X(w) occurs at an integer multiple of the sampling frequency ws.

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