Table of Contents
ISRN Signal Processing
Volume 2011, Article ID 731989, 7 pages
Research Article

Approximation Formula for Easy Calculation of Signal-to-Noise Ratio of Sigma-Delta Modulators

1Department of Theoretical Electrical Engineering, Technical University of Sofia, 8 Kliment Ohridski Street, 1000 Sofia, Bulgaria
2IT Faculty, Hellenic American University, 12 Kaplanon Street, 10680 Athens, Greece
3Department of Electrical Engineering Educators, School of Pedagogical and Technological Education (ASPETE), N. Heraklion, 14121 Athens, Greece

Received 29 October 2010; Accepted 1 December 2010

Academic Editors: L.-M. Cheng and S. Kalitzin

Copyright © 2011 Valeri Mladenov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The signal-to-noise ratio (SNR) is one of the most significant measures of performance of the sigma-delta modulators. An approximate formula for calculation of signal-to-noise ratio of an arbitrary sigma-delta modulator (SDM) has been proposed. Our approach for signal-to-noise ratio computation does not require modulator modeling and simulation. The proposed formula is compared with SNR calculations based on output bitstream obtained by simulations, and the reasons for small discrepancies are explained. The proposed approach is suitable for fast and precise signal-to-noise ratio computation. It is very useful in the modulator design stage, where multiple performance estimates are required.