Volterra series

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

Volterra-Series-Based Distortion Analysis for Optimization of Out-of-Band Terminations in GaN HEMT Devices

Abstract: This letter focuses on the critical device-level linearity issues resulting from out-of-band terminations for reliable distortion characterization in future Universal Mobile Telecommunications System-Long Term Evolution (UMTS-LTE). Using Volterra series technique, the key distortion sources arising from the envelope and harmonic components in 0.5-mm GaN HEMT were identified using commercial and in-house bias tees. With the designed in-house bias tee, the baseband performance, in comparison with the commercial bias tee, is tested through drain-bias sensing. In reference to the commercial bias tee, up to 99.3% reduction in drain modulation is achieved using the in-house bias tee. Memory-effect characterization of GaN HEMT exemplified the implications of baseband and second-harmonic load terminations, which was theoretically confirmed through Volterra series technique. Using the in-house bias tee, under two-carrier wideband code-division multiple-access excitation, up to 47-dBc 3rd-order intermodulation ratio (IMR3) is achieved at 13.5-dB backoff. This has resulted in a 5-dB IMR suppression together with the minimization of intermodulation-distortion asymmetry, confirming the possibility to achieve the 3rd Generation Partnership Project linearity specification at the device level.

Statistical Analysis of Transmitted-Reference UWB Systems on Multipath Channels

Abstract: This paper combines the modeling of transmitted-reference (TR) systems with autocorrelation receivers as Volterra equivalent system models, and the statistical characterization of the inter-pulse-interference due to multipath propagation We obtain the statistics of the Volterra model coefficients as a function of system and channel parameters In its generic form, the analysis can be used for numerical performance evaluations of TR systems It is also expected to be useful for the optimization of signal processing tasks in TR receivers, where such statistical knowledge can be exploited Examples are Volterra channel estimation or synchronization Specializing the analysis to the elementary dual-pulse TR scheme, closed-form expressions are obtained for various performance metrics, which directly indicate the trade-off between different system choices

Non-linear system modelling based on constrained Volterra series estimates

Abstract: A simple non-linear system modelling algorithm designed to work with limited a priori knowledge and short data records, is examined. It creates an empirical Volterra series-based model of a system using an l q -constrained least squares algorithm with q ≥ 1 . If the system m ⋅ is a continuous and bounded map with a finite memory no longer than some known τ , then (for a D parameter model and for a number of measurements N) the difference between the resulting model of the system and the best possible theoretical one is guaranteed to be of order N − 1 ln ⁡ D , even for D ≥ N . The performance of models obtained for q = 1 , 1.5 and 2 is tested on the Wiener–Hammerstein benchmark system. The results suggest that the models obtained for q > 1 are better suited to characterise the nature of the system, while the sparse solutions obtained for q = 1 yield smaller error values in terms of input-output behaviour.

Linear and nonlinear transfer functions of single mode fiber for optical transmission systems.

Abstract: The transmittance transfer function of single mode optical fibers operating in both linear and nonlinear regions is presented. For the linear domain, Fresnel sine and cosine integrals are obtained via the Fourier transform. In the nonlinear region dominated by self-phase-modulation effects, the Volterra series is essential to obtain the nonlinear transfer function. A convergence criterion for the Volterra series transfer function (VSTF) approach is described for solving the nonlinear Schrodinger wave propagation equation. Soliton transmission over single fibers is demonstrated as a case study of the application of the VSTF and a modified VSTF with a number of segmented steps whose distance is within the limit of the convergence of the VSTF.