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Volterra series

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


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Journal ArticleDOI
01 Nov 1995
TL;DR: This work examines the error rate performance of various equalizers on two nonlinear channel models which have been proposed recently in the literature: a partial erasure model and a Volterra model and demonstrates that write precompensation for transition shift elimination is to be preferred over post-compensation.
Abstract: We examine the error rate performance of various equalizers on two nonlinear channel models which have been proposed recently in the literature: a partial erasure model and a Volterra model. We find that when the noise is appreciable the performance of the Volterra equalizer is only slightly better than that of a linear equalizer. Our results also demonstrate that write precompensation for transition shift elimination is to be preferred over post-compensation.

50 citations

Journal ArticleDOI
TL;DR: In this article, theoretical results which have been calculated with a nonlinear FET model show that third-order intermodulation prodgcts of two input signals at f/sub 1/ and f/ sub 2/ can be reduced by several orders of magnitude (in fact, theoretically, IMD (3) should be reduced to zero).
Abstract: Third-order intermodulation distortion (IMD (3)) of some microwave systems has been analyzed using Vollterra series In this paper, theoretical results which have been calculated with a nonlinear FET model show that third-order intermodulation prodgcts of two input signals at f/sub 1/ and f/sub 2/ can be reduced by several orders of magnitude (in fact, theoretically, IMD (3) should be reduced to zero), with a low-frequency feedback at f/sub 1/- f/sub 2/, when the amplitude and the phase of this feedback are correctly chosen To verify this prediction, a circuit has been realized and measurements have been made on a one-stage FET amplifier First results confirm our analysis Experimental measurements show a 12-dB decrease of intermodulation products with our method

50 citations

Journal ArticleDOI
TL;DR: In this article, the authors derived analytical expressions for an upper bound on probability of error for integrate-and-threshold detection at the receiver, and determined the optimal dispersion parameters of each fiber segment required to minimize the effects of linear dispersion, fiber nonlinearities and ASE noise from the amplifiers.
Abstract: A new methodology for designing long-haul fiber-optic communication systems is presented. We derive the overall Volterra series transfer function of the system including linear dispersion, fiber nonlinearities, amplified spontaneous emission (ASE) noise from the fiber amplifiers, and the square-law nature of the direct detection (DD) system. Since analytical expressions for the probability of error are difficult to derive for the complex systems being used, we derive analytical expressions for an upper bound on probability of error for integrate-and-threshold detection at the receiver. Using this bound as a performance criterion, we determine the optimal dispersion parameters of each fiber segment required to minimize the effects of linear dispersion, fiber nonlinearities and ASE noise from the amplifiers. We study the dependence of optimal dispersion parameters on the average power levels in the fiber by varying the peak input power levels and the amplifier gains. Analytical expressions give us the freedom to choose system parameters in a practical manner, while providing optimum system performance. Using a simple system as an example, we demonstrate the power of the Volterra series approach to design optimal optical communication systems. The analysis and the design procedure presented in this work can be extended to the design of more complex wavelength division multiplexed (WDM) systems.

50 citations

Book
17 Feb 2015
TL;DR: The Parametric characteristics of the GRFRs and the Parametric Characteristics Based Analysis help clarify the role of nonlinear influence in the Frequency Domain: Alternating Series and suggest ways to incorporate it into the output spectrum.
Abstract: 1 Introduction.- 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems.- 3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics --- Some Theoretical Issues.- 9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study.- 11 Mapping from Parametric Characteristics to the GFRFs and Output Spectrum.- 12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions.- 14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems.- 15 Summary and Overview.- References. 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems.- 3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics --- Some Theoretical Issues.- 9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study.- 11 Mapping from Parametric Characteristics to the GFRFs and Output Spectrum.- 12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions.- 14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems.- 15 Summary and Overview.- References.

49 citations

Journal ArticleDOI
TL;DR: A new nonlinear dynamic model of large-signal amplifiers based on a Volterra-like integral series expansion is described, which represents a generalization, to nonlinear systems with memory, of the widely-used amplitude/amplitude (AM/AM) and amplitude/phase (PM) conversion characteristics.
Abstract: A new nonlinear dynamic model of large-signal amplifiers based on a Volterra-like integral series expansion is described. The new Volterra-like series is specially oriented to the modeling of nonlinear communication circuits, since it is expressed in terms of dynamic deviations of the complex modulation envelope of the input signal. The proposed model represents a generalization, to nonlinear systems with memory, of the widely-used amplitude/amplitude (AM/AM) and amplitude/phase (AM/PM) conversion characteristics, which are based on the assumption of a practically memoryless behavior. A measurement procedure for the experimental characterization of the proposed model is also outlined.

49 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202315
202246
202146
202057
201983
201881