Title

A Comparison of Simulation Methods for Continuous Time Sigma Delta Modulators

Document Type

Conference Proceeding

Publication Date

3-1-2018

Publication Title

2018 IEEE 8th Annual Computing and Communication Workshop and Conference (CCWC)

First page number:

994

Last page number:

999

Abstract

Continuous time (CT) sigma delta modulators are mixed signal systems that are commonly simulated at a system level using SPICE macro modeling, solving differential equations, implementing difference equations based on impulse invariance and using Simulink. In this paper, the delta transform (forward Euler method), the bilinear transform (trapezoidal rule), the midpoint integration method, a variation on the use of impulse invariance and Simpson’s rule are used to determine difference equations which are used to simulate CT sigma delta modulators. The accuracy and speed of these methods are compared to Simulink models of CT sigma delta modulators with respect to the modulator’s signal to quantization noise ratio and the elapsed time of each simulation.

Keywords

Sigma delta modulator, Continuous time sigma delta modulator, Simulation of continuous time sigma delta modulators, Delta transform, Delta operator, Euler's forward difference, Bilinear transform, Trapezoidal integration, Midpoint integration, Simpson's integration rule.

Language

eng

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