Volterra series

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

Bilinear Optical Systems

Abstract: Nonlinear optical systems described by the third term of a Volterra series (i.e. bilinear optical systems) are shown to be represented by a Wigner distribution function or ambiguity function. This treatment allows a description of bilinear systems in terms of a ray picture.

Modeling the Nonlinearities in Horn Loudspeakers

Abstract: Nonlinearities in horn loudspeakers are modeled by electromechanical-acoustical analogous circuits with lumped parameters as well as by block-oriented systems composed of linear dynamic subsystems and nonlinear static subsystems. The nonlinear parameters are developed by a power series expansion, and the second- and third-order system functions based on a Volterra series approach are presented. These higher order system functions allow a quantitative prediction of the harmonic and intermodulation distortion in the radiated sound pressure signal and show in principle the characteristic steady-state response of the nonlinear distortion for each nonlinearity. This information is helpful for interpreting the results of nonlinear distortion measurements and determining the dominant nonlinearities in horn loudspeakers. The structure of the derived system models is valuable a priori information for performing system identification to verify the modeling and to determine relevant loudspeaker parameters.

Neural network modeling of nonlinear systems based on volterra series extension of a linear model

Abstract: A Volterra series approach has been applied to the identification of nonlinear systems which are described by a neural network model. A procedure is outlined by which a mathematical model can be developed from experimental data obtained from the network structure. Applications of the results to control of robotic systems are discussed. >

Fast Estimation of Quasi-Steady States of Cyclic Nonlinear Processes Based on Higher-Order Frequency Response Functions. Case Study: Cyclic Operation of an Adsorption Column

Abstract: A new method for fast approximate calculation of quasi-steady states of cyclic processes is presented. The method is based on the concept of higher-order frequency response functions. The system input is represented in the form of Fourier series, whereas the output is presented in the form of Volterra series. For practical applications, both the input and the output series are approximated by finite-length sums. In this way, the approximate periodic quasi-steady state of the system output is calculated directly, without long numerical integrations. Cyclic operation of an adsorption column with periodic fluctuations of the inlet concentration or/and adsorbent temperature is used as a case study for testing the new method. The necessary frequency response functions (FRFs), up to the third order, are derived, based on the equilibrium dispersion model. The method is tested for sinusoidal and rectangular input changes. The approximate solutions based on the FRFs, up to the third order, and a finite number of input harmonics, are calculated for different input frequencies and amplitudes and compared with the numerical solutions. Very good agreement is obtained.