Concept

Digital signal (signal processing)

Summary
In the context of digital signal processing (DSP), a digital signal is a discrete time, quantized amplitude signal. In other words, it is a sampled signal consisting of samples that take on values from a discrete set (a countable set that can be mapped one-to-one to a subset of integers). If that discrete set is finite, the discrete values can be represented with digital words of a finite width. Most commonly, these discrete values are represented as fixed-point words (either proportional to the waveform values or companded) or floating-point words. The process of analog-to-digital conversion produces a digital signal. The conversion process can be thought of as occurring in two steps:

sampling, which produces a continuous-valued discrete-time signal, and

quantization, which replaces each sample value with an approximation selected from a given discrete set (for example, by truncating or rounding).

It can be shown that an analog signal can be reconstructed after conversion t
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