Optimal noise shaping in Δ∑ Modulators via generalized KYP lemma

Author

Nagahara, Masaaki ; Yamamoto, Yutaka

Author_Institution

Grad. Sch. of Inf., Kyoto Univ., Kyoto

fYear

2009

fDate

19-24 April 2009

Firstpage

3381

Lastpage

3384

Abstract

In this paper, we propose a new design method of DeltaSigma modulators. First, we analyze the stability of DeltaSigma modulators. We show a parametric representation of all stabilizing loop filters for a linearized model, and then an analysis of the nonlinear stability is discussed. Next, by using the parameterization of loop filters, we propose an optimal design to shape the frequency response of the noise transfer function (NTF). Generalized KYP (Kalman-Yakubovic-Popov) lemma is used to reduce our optimization to a linear matrix inequality.

Keywords

delta-sigma modulation; frequency response; linear matrix inequalities; optimisation; stability; DeltaSigma modulators; Kalman-Yakubovic-Popov lemma; frequency response; generalized KYP lemma; linear matrix inequality; linearized model; noise transfer function; nonlinear stability; optimal noise shaping; optimization; parametric representation; stabilizing loop filters; Chirp modulation; Frequency; Hydrogen; Informatics; Noise shaping; Nonlinear filters; Quantization; Stability analysis; State-space methods; Transfer functions; Δ∑ modulation; H^∞ optimization; generalized KYP lemma; quantization;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 2009. ICASSP 2009. IEEE International Conference on

Conference_Location

Taipei

ISSN

1520-6149

Print_ISBN

978-1-4244-2353-8

Electronic_ISBN

1520-6149

Type

conf

DOI

10.1109/ICASSP.2009.4960350

Filename

4960350