Continuous Time Sampling

Summary

In this chapter, we study the pioneering sampling theorem of Claude Shannon, which states that a continuous time band‐limited signal can be sampled without losing any information. The original signal can be uniquely reconstructed from its sampled version, provided that the sampling rate is at least twice the bandwidth of the original signal, called the Nyquist rate. We investigate sampling a continuous time signal to generate a more compact signal using three types of sampling methods: impulse train sampling, zero‐order sampling, and first‐order hold sampling. For each case, we explain how the original signal can be reconstructed from the samples.