Sampling Theorems
Sampling Theorems are fundamental principles in signal processing that describe how continuous signals can be represented by discrete samples. The most well-known theorem is the Nyquist-Shannon Sampling Theorem, which states that a signal can be perfectly reconstructed from its samples if it is sampled at a rate greater than twice its highest frequency. This critical sampling rate is known as the Nyquist rate.
These theorems are essential in various applications, including digital audio, image processing, and telecommunications. By understanding and applying these principles, engineers and scientists can efficiently convert analog signals into digital formats without losing important information, ensuring high-quality reproduction and transmission of data.