An Optimization Framework for the Design of Noise Shaping Loop Filters with Improved Stability Properties
| Autor: | Guy A. Dumont, A. Martin Mallinson, Christian L. Petersen, Brett C. Hannigan |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Semidefinite programming
0209 industrial biotechnology Frequency band Computer science Applied Mathematics 02 engineering and technology Delta-sigma modulation Topology Transfer function Noise shaping 020901 industrial engineering & automation Robustness (computer science) Control system Signal Processing |
| Zdroj: | Circuits, Systems, and Signal Processing. 39:6276-6298 |
| ISSN: | 1531-5878 0278-081X |
| Popis: | A framework using semidefinite programming is proposed to enable the design of sigma delta modulator loop filters at the transfer function level. Both continuous-time and discrete-time, low-pass and band-pass designs are supported. For performance, we use the recently popularized Generalized Kalman–Yakubovic–Popov (GKYP) lemma to place constraints on the $$\mathcal {H}_\infty $$ norm of the noise transfer function (NTF) in the frequency band of interest. We expand the approach to incorporate common stability criteria in the form of $$\mathcal {H}_2$$ and $$\ell _1$$ norm NTF constraints. Furthering the discussion of stability, we introduce techniques from control systems to improve the robustness of the feedback system over a range of quantizer gains. The performance-stability trade-off is examined using this framework and motivated by simulation results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink