In the Fourier Transform Interpretation of Sampling lesson you will learn how the Fourier transform of the sampled signal depends on the Fourier transform of the original continuous-time signal. This relationship provides the basis for understanding the sampling theorem, how to reconstruct a continuous-time signal from samples, and how aliasing can distort the frequency content of the sampled signal.
This lesson provides a step-by-step derivation of this relationship using properties of the Fourier transform and complements the more intuitive development in the preceding lesson.
