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The Sampling Theorem, also known as the Nyquist–Shannon Sampling Theorem, is a fundamental principle in signal processing that establishes the relationship between a continuous-time signal and its discrete-time samples. It states that a continuous signal can be completely represented by its samples and fully reconstructed if the sampling rate is at least twice the highest frequency present in the signal. This minimum sampling rate is referred to as the Nyquist rate, and half of it is known as the Nyquist frequency.

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