Output Filter Aware Optimization of the Noise Shaping Properties of {\Delta}{\Sigma} Modulators via Semi-Definite Programming
Information Theory
2013-09-25 v2 math.IT
Abstract
The Noise Transfer Function (NTF) of {\Delta}{\Sigma} modulators is typically designed after the features of the input signal. We suggest that in many applications, and notably those involving D/D and D/A conversion or actuation, the NTF should instead be shaped after the properties of the output/reconstruction filter. To this aim, we propose a framework for optimal design based on the Kalman-Yakubovich-Popov (KYP) lemma and semi-definite programming. Some examples illustrate how in practical cases the proposed strategy can outperform more standard approaches.
Keywords
Cite
@article{arxiv.1302.3020,
title = {Output Filter Aware Optimization of the Noise Shaping Properties of {\Delta}{\Sigma} Modulators via Semi-Definite Programming},
author = {Sergio Callegari and Federico Bizzarri},
journal= {arXiv preprint arXiv:1302.3020},
year = {2013}
}
Comments
14 pages, 18 figures, journal. Code accompanying the paper is available at http://pydsm.googlecode.com