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Reconstruction and the Sampling Theorem

September 1, 2019 by

In this lesson you will learn when a continuous-time signal can be reconstructed from its samples and how to do the reconstruction. These insights are easy to obtain using the frequency domain representation for sampling that is derived in the preceding lesson.

The condition for unique reconstruction is that the sampling theorem be satisfied. The signal must be sampled at a rate exceeding twice the maximum frequency present. If this condition is satisfied, reconstruction is accomplished by low pass filtering.

The content of this lesson is the foundation for the sampling and reconstruction strategies used in practical signal-processing systems.

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