State-space harmonic distortion modeling in weakly nonlinear, fully balanced G/sub m/-C filters-a modular approach resulting in closed-form solutions

State space harmonic distortion modeling and estimation are introduced for G/sub m/-C filters with fully balanced, weakly nonlinear tranconductors. The proposed method provides compact closed-form answers expressed explicitly in terms of the values of the circuit elements. It can be easily implement...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. 1, Fundamental theory and applications Fundamental theory and applications, 2006-01, Vol.53 (1), p.48-59
Main Authors: Zhaonian Zhang, Celik, A., Sotiriadis, P.P.
Format: Article
Language:English
Subjects:
Circuit analysis
Closed-form solution
distortion model
Dynamic range
fast algorithm
Frequency
fully balanced
fully differential
Harmonic distortion
Low pass filters
Mathematical model
Nonlinear systems
perturbation
Power harmonic filters
Signal to noise ratio
state space
Transconductors
weak nonlinearity
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Summary:State space harmonic distortion modeling and estimation are introduced for G/sub m/-C filters with fully balanced, weakly nonlinear tranconductors. The proposed method provides compact closed-form answers expressed explicitly in terms of the values of the circuit elements. It can be easily implemented in MATLAB and applied to G/sub m/-C filters of any order. The filter is viewed as a composition of three operators in signal space representing the input stage, the filter core, and the output stage. Each operator is then decomposed into the superposition of a linear operator and a nonlinear operator. The total distortion at the output is shown to be approximately the sum of the distortion introduced by the nonlinear operator of each stage. The theoretical results are found to be in good agreement with Cadence simulations for the cases of a lossy integrator and a third-order Butterworth low-pass filter.
ISSN:1549-8328
1057-7122
1558-0806
DOI:10.1109/TCSI.2005.854296