Topic
Volterra series
About: Volterra series is a research topic. Over the lifetime, 2731 publications have been published within this topic receiving 46199 citations.
Papers published on a yearly basis
Papers
More filters
01 Sep 2007
TL;DR: In this article, the authors propose to solve and simulate various Kirchhoff models of nonlinear strings thanks to Volterra series, where the string tension is supposed to depend either on the global elongation of the string, or on the local strain located at x.
Abstract: This paper proposes to solve and simulate various Kirchhoff models of nonlinear strings thanks to Volterra series. Two nonlinearities are studied : the string tension is supposed to depend either on the global elongation of the string, either on the local strain located at x. For each model, a Volterra series is used to represent the displacement as a functional of excitation forces. The Volterra kernels are solved in the Laplace domain thanks to a modal decomposition. As a last step, systematic identifications on these kernels lead to a structure in the time domain, which is composed of ”linear filters”, instantaneous sums and instantaneous products. Such a structure allows for sound synthesis thanks to standard signal processing techniques. The nonlinear dynamics introduced by this simulation is significant and perceptible on sounds for sufficiently large excitations.
24 citations
TL;DR: In this paper, the application of the Volterra series expansion to fiber-optic communication systems and performance evaluation of dispersion maps is discussed. And it is shown that under certain conditions periodically dispersion-managed multispan systems can be approximated by simple single-span systems with dispersion precompensation.
Abstract: This paper reviews the application of the Volterra series expansion to fiber-optic communication systems and performance evaluation of dispersion maps. It is shown that under certain conditions periodically dispersion-managed multispan systems can be approximated by simple single-span systems with dispersion precompensation. This single-span approximation can help us to identify equivalent system configurations and estimate optimum system parameters. To set an example, the single-span model is employed to analyze transmission systems based on the return-to-zero on-off-keying modulation format and direct detection.
24 citations
TL;DR: In this article, a nonlinear frequency response method based on Volterra series, generalized Fourier transform and the concept of higher-order frequency response functions (FRFs) is presented.
24 citations
TL;DR: A new second-order neural Volterra filter (SONVF) with conjugate gradient (CG) algorithm is proposed to predict chaotic time series based on phase space delay-coordinate reconstruction of chaotic dynamics system in this paper, where the neuron activation functions are introduced to constraint Volterro series terms for improving the nonlinear approximation of second- order VolterRA filter (SOVF).
Abstract: A new second-order neural Volterra filter (SONVF) with conjugate gradient (CG) algorithm is proposed to predict chaotic time series based on phase space delay-coordinate reconstruction of chaotic dynamics system in this paper, where the neuron activation functions are introduced to constraint Volterra series terms for improving the nonlinear approximation of second-order Volterra filter (SOVF). The SONVF with CG algorithm improves the accuracy of prediction without increasing the computation complexity. Meanwhile, the difficulty of neuron number determination does not exist here. Experimental results show that the proposed filter can predict chaotic time series effectively and one-step and multi-step prediction performances are obviously superior to those of SOVF, which demonstrate that the proposed SONVF is feasible and effective.
24 citations
TL;DR: In this article, the second and third-harmonic components generated by the transistor are reflected back simultaneously by the compact microstrip resonant cell (CMRC) at the input port with proper phases to mix with the fundamental signal for the reduction of IMDs.
Abstract: This paper presents a novel technique for reducing the intermodulation distortions (IMDs) in power amplifiers. In this method, both second- and third-harmonic components generated by the transistor are reflected back simultaneously by the compact microstrip resonant cell (CMRC) at the input port with proper phases to mix with the fundamental signal for the reduction of IMDs. A rigorous mathematical analysis on the effectiveness of multiharmonic reflections has been formulated and derived using the Volterra series. Moreover, the delay mismatch factor of the proposed method is analytically studied and the result shows that a better tolerance to the delay error can be achieved by using CMRC circuitry. Standard two-tone test measurements reveal 32- and 22-dB reductions for the third-order IMD and fifth-order IMD, respectively, without affecting the fundamental signal at 2.45 GHz. Meanwhile, the proposed approach gives a peak power added efficiency of 53% with 11.5 dB transducer gain and 15 dBm output power for a single-stage SiGe bipolar junction transistor. The adjacent channel power ratio (ACPR) is -55dBc for a data rate of 384-kb/s quadrature phase shift keyed modulated signal with 2-MHz spanning bandwidth, and this ACPR is maintained for a broad range of output power level.
24 citations