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Fourier Transform Interpretation of Sampling

September 5, 2019 by

fourier-transform-sampling

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.

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