Visualization of noise shaping through models of a first-order Σ-Δ. modulator with single-bit quantizer

摘要

The main goal of this work is to visualize one of the basic properties of the Sigma-Delta analog-to-digital converter $(Sigma-Delta ext{ADC})$ - noise shaping. For this purpose, two models of the $Sigma-Delta$ modulator were analysed - the model using an integrator without delay and the model using an integrator with delay. Both of these visualizations are based on the principle of superposition, since two input signals (the useful input signal and the quantization noise) are considered in the models. Visualizations are shown in the z-plane as well as using the magnitude vs normalized frequency graphs constructed in Matlab environment.