Volterra series

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

Intermodulation analysis of FET resistive mixers using Volterra series

Abstract: We have implemented the Volterra-series method to analyze intermodulation (IM) distortion in FET resistive mixers. The nonlinearities of the channel conductance of a NE71000 MESFET and a NE32400 HFET were first characterized using a low-frequency harmonic power measurement. The data was then used in a simulation program and results for two-tone IM distortion in X-band were compared with the measured data for both MESFET and HFET resistive mixer circuits. Very good agreement was achieved in each case. We have also shown by simulation that the two separate contributions to the third-order IM distortion from the mixing between the input signals themselves and the mixing between the input signals and the second-order mixing products have a very strong cancellation, which results in the low IM distortion in the FET resistive mixers observed in measurements.

Selection of a time-varying quadratic Volterra model using a wavelet packet basis expansion

Abstract: We consider the identification of a time-varying nonlinear system based on a single realization of the system input-output. To enable identification, the system's time variation is approximated by a weighted sum of known basis sequences. Using wavelet packet basis sequences increases the flexibility of the model, allowing a suitable basis to be selected. A basis selection procedure is formulated using the Best Basis algorithm to choose the minimum entropy wavelet packet basis. The statistical significance of each of the chosen basis sequences is then tested using a multiple hypothesis testing procedure. Selecting individual sequences in this way achieves a specified level of confidence that the final model contains only those sequences that are significant. As an alternative, we also propose a search procedure, based on an information theoretic criterion, to select basis sequences.

A Behavioral Dynamic Nonlinear Model for Time-Interleaved ADC Based on Volterra Series

Abstract: The non-ideal circuit implementations cause a significant degradation in the performance of the time-interleaved analog-to-digital converter (TIADC) system. In this paper, a behavioral model for the TIADC based on Volterra series is proposed to model the dynamic nonlinearities in TIADC. The time-domain and frequency-domain expressions of the behavioral model based on hybrid Volterra series are derived first. Then, the discrete-time equivalent model is proposed by transforming the hybrid TIADC system to a discrete time one based on discrete-time Volterra series only. The derivations give a theoretical foundation to use discrete-time Volterra series to model the mixed-domain TIADC system, which makes it possible to make full use of the related existing derivations, conclusions, and methodologies on discrete-time Volterra series. We also summarize some common special cases of Volterra series to provide practical guidelines for ADC and TIADC practitioners. We present the main features of these models and their relationship with the Volterra series. The simulation and experimental results show the effectiveness of the proposed model.

Nonlinear System Modelling and Analysis from the Volterra and Wiener Perspective

Abstract: A fundamental activity of modern science is the development and analysis of models. A scientific model is just a representation of a phenomenon. It is desired because it can be used to obtain new insights concerning a phenomenon and also to predict the outcome of experiments involving the phenomenon [5]. System theory, which is the theory of models, is thus fundamental to science. An important problem in system theory is the development of nonlinear models of phenomena.