Title :
Optimal noise shaping in Δ∑ Modulators via generalized KYP lemma
Author :
Nagahara, Masaaki ; Yamamoto, Yutaka
Author_Institution :
Grad. Sch. of Inf., Kyoto Univ., Kyoto
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;
Conference_Titel :
Acoustics, Speech and Signal Processing, 2009. ICASSP 2009. IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-2353-8
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2009.4960350
