1. Fundamentals: Sampling, Quantization, Resolution
An analog-to-digital converter (ADC) converts a continuous-time, continuous-amplitude signal into a sequence of discrete numerical values. This process consists of two separate steps: sampling in time and quantization of the amplitude.
According to the Nyquist–Shannon sampling theorem, the sampling frequency must be at least twice the highest frequency component contained in the signal in order to reconstruct it without loss of information. Otherwise, aliasing produces indistinguishable mirror frequencies – in practice, an analog anti-aliasing filter therefore usually precedes the ADC.
Quantization rounds the sampled voltage to the nearest of 2N representable codes (for N-bit resolution). The resulting unavoidable difference is the quantization error, which appears as quantization noise in the output signal. Key parameters for evaluating real converters are SNR (signal-to-noise ratio), SFDR (spurious-free dynamic range), and ENOB (effective number of bits) – the actually usable resolution accounting for noise and distortion.