@inbook{0fe2c944bc054e9f9a602e6350c4b4c0,
title = "Nonlinear programming approach for design of high performance sigma-delta modulators",
abstract = "In this chapter we present a nonlinear programming approach to the design of third-order sigma–delta modulators with respect to maximization of the signal-to-noise ratio, taking into account the modulator{\textquoteright}s stability. The proposed approach uses an analytic formula for calculation of the signal-to-noise ratio and an analytic formula for stability of the modulator. Thus the goal function becomes maximization of the signal-to-noise ratio and constraints come from stability issues and bounds of the modulator noise transfer function coefficients. The results are compared with the optimal third-order modulator design provided by DStoolbox. The proposed procedure has low computation requirements. It is described for third-order modulators with one real pole of the loop filter transfer function and can be extended easily and generalized to higher-order modulators.",
keywords = "Analog-to-digital conversion, Digital signal processing, Sigma-delta modulators, Signal-to-noise ratio, Stability",
author = "V.M. Mladenov and G. Tsenov",
year = "2018",
doi = "10.1007/978-3-319-58996-1_12",
language = "English",
isbn = "978-3-319-58995-4",
series = "Studies in Systems, Decision and Control",
publisher = "Springer",
pages = "271--283",
editor = "K. Kyamaka and W. Mathis and R. Stoop and J.C. Chedjou and Z. Li",
booktitle = "Recent advances in nonlinear dynamics and synchronization.",
address = "Germany",
}