By expanding each kernel using the orthonormal Laguerre series, a Volterra functional series is used to represent the input-output relation of a nonlinear dynamic system. With the feedback of the modeling error, we give a novel nonlinear observer-controller design, based on which both the stabilization and tracking problems are solved. To illustrate the effectiveness of the design algorithm, we...

This paper proposes a recursive optimum-term selecting (ROS) approach to pruning the general Volterra series, by which we can achieve a custom-tailored model to characterize nonlinearity of wideband power amplifiers (PAs) with memory effects. The achieved model is more suitable for the individual PA than those static models, such as the MP and GMP models, as it selects the most efficient terms ...

A time-varying theory of Volterra series is developed and applied in the sampled-data domain to solve for harmonic and intermodulation distortion of a MOS-based track-and-hold sampling mixer with a nonzero fall-time LO waveform. Distortion due to sampling error is also calculated. These results, when combined with the continuous-time solution, quantify harmonic and intermodulation distortion of...

In this paper, we give a numerical approach for approximating the solution of second kind Volterra integral equation with Logarithmic kernel using Block Pulse Functions (BPFs) and Taylor series expansion. Also, error analysis shows efficiency and applicability of the presented method. Finally, some numerical examples with exact solution are given.

Volterra series based model, which is comprised of uniand multi-convolutions in terms of various inputs, could provide an accurate description of nonlinearities while preserving memory effects missed in static transformations. The basic premise of the Volterra theory of nonlinear systems is that any nonlinear system can be modeled as an infinite sum of multidimensional convolution integrals of ...

Volterra series approximate a broad range of nonlinear systems. Their identification is challenging due to the curse dimensionality: number model parameters grows exponentially with complexity input–output response. This fact limits applicability such models and has stimulated recently much research on regularized solutions. Along this line, we propose two new strategies that use kernel-based m...

The Volterra series have been successfully and widely applied as a nonlinear system modeling technique. Considered as a prototype, the second order Volterra filter (FV2) has an increased complexity in comparison with a linear filter. The filter based on the multi memory decomposition (MMD) structure represents a good approximation of the FV2 and significantly reduces the number of the filter op...

Wavelet packet division multiplexing (WPDM) is a high-capacity, flexible and robust orthogonal multiplexing scheme in which the message signals are waveform coded onto wavelet packet basis functions for transmission. However, WPDM suffers from severe performance degradation in the presence of high-power amplifier (HPA) nonlinearities. In this paper, data predistortion using the pth-order Volter...