Volterra series

About: Volterra series is a research topic. Over the lifetime, 2731 publications have been published within this topic receiving 46199 citations.

Adaptive echo cancellation with nonlinear digital filters

Abstract: This paper deals with the description of a class of nonlinear digital filters by means of the discrete Volterra series. The related hardware realizations are based on combinatorial networks obtained by using the distributed arithmetic. Such realizations can be applied for compensating, in multilevel data transmission channels, the most typical nonlinearities which affect an adaptive echo canceller.

Volterra and Algebraic Approaches to the Zero Dynamics

Abstract: The zero dynamics is a property of affi.ne nonlinear systems w hich has been extensively studied during the last decade. Its properties are important in several contexts such as exact linearization, stabilization and sliding mode control. We will first give a result which considers how zeros of the sequence of transfer functions that emerge from the Laplace transform of the regular kernels in a Volterra series are connected to the zero dynamics. It is shown that if a certain factorization can be performed then zeros in the right half plane gives an unstable zero dynamics. This can be viewed as a generalization of the linear case.Further, a result is given which shows how differential algebra, in particular the Ritt algorithm, can be used to calculate zero dynamics. For a large dass of affi.ne SISO state space descriptions the Ritt algorithm, with a certain ranking, is shown to give the zero dynamics. This indicates that the concept of zero dynamics can be generalized to more complex state space descriptions.

Mathematical Tools and Software for Analysis and Design of Nonlinear Control Systems

Abstract: The theory of nonlinear control systems has developed rapidly

Identification of structurally constrained second-order Volterra models

Abstract: Continuing advances in industrial control hardware and software have increased interest in the identification of nonlinear dynamic models from chemical process data. Two practically important issues are those of nonlinear model structure selection and input sequence design for adequate model identification. While the "general nonlinear model identification problem" is intractably complex, we may obtain useful insights into both of these issues by restricting our attention to special cases, building incrementally on our "linear intuition". We consider the special case of second-order Volterra models, focusing on the effects of structural restrictions and non-Gaussian input sequences on the model identification problem. The results presented build on the work of Powers and his co-workers, who considered the unconstrained Gaussian problem, certain constrained special cases (e.g., the Hammerstein model), and identification using non-i.i.d. input sequences. Besides extending these results to a wider class of model structure constraints and input sequences, the results presented yield some useful insights into the issue of input sequence design.

Linearity analysis and design optimisation for 0.18 /spl mu/m CMOS RF mixer

Abstract: Equations for the 1dB compression point and third-order intermodulation point as a function of circuit and technology parameters are derived using a Volterra series expansion. The linearity analysis for both single- and double-balanced CMOS Gilbert mixers is examined. The relation between the input third-order intercept point and source inductance is studied in depth. The gate to drain overlap capacitance, which is one of the dominant nonlinear elements in a MOSFET, is included in the model. The design methodology to satisfy the mixer noise figure and conversion gain while optimising linearity is summarized. The analytical predictions are verified with the Cadence SpectreRF circuit simulation and experimental data. Good agreement between the model predictions and experimental data is obtained.