Intro to Dynamic Systems
Shannon's Sampling Theorem states that a continuous signal can be completely reconstructed from its samples if it is sampled at a rate greater than twice its highest frequency component. This theorem is foundational in signal processing and connects to how discrete-time systems operate, ensuring that signals retain their integrity when converted from continuous to discrete formats. It plays a crucial role in understanding discrete-time transfer functions, as these functions rely on properly sampled signals to analyze system behavior accurately.
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