Title:
MODELLING OF NONLINEAR SYSTEMS USING COMPRESSED SENSING WITH MINIMAL SAMPLING
Document Type and Number:
WIPO Patent Application WO/2011/139858
Kind Code:
A3
Abstract:
Compressed sensing is used to determine a model of a nonlinear system. In one example, L1-norm minimization is used to fit a generic model function to a set of samples thereby obtaining a fitted model. Convex optimization can be used to determine model coefficients that minimize the L1-norm. In one application, the fitted model is used to calibrate a predistorter. In another application, the fitted model function is used to predict future actions of the system. The generic model is made up of constituent functions that may or may not be orthogonal to one another. In one example, an initial model function of non-orthogonal constituent functions is orthogonalized to generate a generic model function of constituent orthogonal functions. Although the number of samples to which the generic model is fitted can be less than the number of model coefficients, the fitted model nevertheless accurately models system nonlinearities.
Inventors:
APARIN VLADIMIR (US)
GILMORE ROBERT P (US)
GILMORE ROBERT P (US)
Application Number:
PCT/US2011/034395
Publication Date:
March 01, 2012
Filing Date:
April 28, 2011
Export Citation:
Assignee:
QUALCOMM INC (US)
APARIN VLADIMIR (US)
GILMORE ROBERT P (US)
APARIN VLADIMIR (US)
GILMORE ROBERT P (US)
International Classes:
G06K9/00; G06N3/00; H03M1/12; H03M7/30; H03M13/00; H04B1/04; H04B7/005
Domestic Patent References:
| WO2007050680A2 | 2007-05-03 |
Foreign References:
| US20080129560A1 | 2008-06-05 | |||
| US20090319059A1 | 2009-12-24 | |||
| US20020080891A1 | 2002-06-27 | |||
| US20080130788A1 | 2008-06-05 |
Other References:
BEHNAM JAFARPOUR ET AL: "Compressed History Matching: Exploiting Transform-Domain Sparsity for Regularization of Nonlinear Dynamic Data Integration Problems", MATHEMATICAL GEOSCIENCES, SPRINGER-VERLAG, BERLIN/HEIDELBERG, vol. 42, no. 1, 21 October 2009 (2009-10-21), pages 1 - 27, XP019772565, ISSN: 1874-8953
ANDING ZHU ET AL: "Open-Loop Digital Predistorter for RF Power Amplifiers Using Dynamic Deviation Reduction-Based Volterra Series", 1 July 2008, IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, IEEE SERVICE CENTER, PISCATAWAY, NJ, US, PAGE(S) 1524 - 1534, ISSN: 0018-9480, XP011227735
FADHEL M GHANNOUCHI ET AL: "Behavioral modeling and predistortion", 1 December 2009, IEEE MICROWAVE MAGAZINE, IEEESERVICE CENTER, PISCATAWAY, NJ, US, PAGE(S) 52 - 64, ISSN: 1527-3342, XP011277373
HEINZ KOEPPL ET AL: "An Efficient Scheme for Nonlinear Modeling and Predistortion in Mixed-Signal Systems", 1 December 2006, IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II: EXPRESS BRIEFS, IEEE SERVICE CENTER, NEW YORK, NY, US, PAGE(S) 1368 - 1372, ISSN: 1057-7130, XP011152140
ANDING ZHU ET AL: "Open-Loop Digital Predistorter for RF Power Amplifiers Using Dynamic Deviation Reduction-Based Volterra Series", 1 July 2008, IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, IEEE SERVICE CENTER, PISCATAWAY, NJ, US, PAGE(S) 1524 - 1534, ISSN: 0018-9480, XP011227735
FADHEL M GHANNOUCHI ET AL: "Behavioral modeling and predistortion", 1 December 2009, IEEE MICROWAVE MAGAZINE, IEEESERVICE CENTER, PISCATAWAY, NJ, US, PAGE(S) 52 - 64, ISSN: 1527-3342, XP011277373
HEINZ KOEPPL ET AL: "An Efficient Scheme for Nonlinear Modeling and Predistortion in Mixed-Signal Systems", 1 December 2006, IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II: EXPRESS BRIEFS, IEEE SERVICE CENTER, NEW YORK, NY, US, PAGE(S) 1368 - 1372, ISSN: 1057-7130, XP011152140
Attorney, Agent or Firm:
HOOKS, William, M. (5775 Morehouse DriveSan Diego, CA, US)
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