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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
TL;DR: A new analysis approach to understand and minimize nonlinear distortion in bipolar transistors is presented, employing a recently developed nonlinear device model, known as the integral charge control model, and a powerful analysis tool: the Volterra series representation.
Abstract: A new analysis approach to understand and minimize nonlinear distortion in bipolar transistors is presented. It employs a recently developed nonlinear device model, known as the integral charge control model, and a powerful analysis tool: the Volterra series representation. The salient analytical features of this paper are: a simple representation of the Volterra transfer functions of the transistor, compact expressions for frequency-dependent distortion coefficients, and physically meaningful asymptotic low- and high-frequency distortion coefficients. The analytical results have been experimentally verified. Finally, specific design examples are furnished to illustrate the powerful nature of the above analytical expressions.

42 citations

Journal ArticleDOI
TL;DR: Theoretical models for laser nonlinearities are analyzed in this paper, where Volterra transfer function G/sub n/ is calculated from the laser rate equations using an output-to-input approach.
Abstract: Theoretical models for laser nonlinearities are analyzed. Volterra transfer function G/sub n/ are calculated from the laser rate equations using an output-to-input approach. Nonlinear models for second-harmonic, third-harmonic, and two-tone third-order intermodulation distortions are calculated from G/sub n/. The transfer function-based models are simplified and a new equation for intermodulation distortion is developed. Comparisons with previous results are presented. It is suggested that this analytical technique offers a valuable tool for the performance analysis of future broadband optical communication systems. >

42 citations

Journal ArticleDOI
TL;DR: In this article, an improvement in cross-correlation methods derived from the Lee-Schet-Zen method is proposed, in which each Wiener kernel is identified with a different input variance and new formulas for conversion from Wiener to Volterra representation are presented.
Abstract: This paper proposes an improvement in cross-correlationmethodsderivedfromtheLee-Schet- zenmethod,inordertoobtainalowermeansquareerror intheoutputforawiderrangeoftheinputvariances.In particular, each Wiener kernel is identified with a dif- ferent input variance and new formulas for conversion from Wiener to Volterra representation are presented.

42 citations

Journal ArticleDOI
TL;DR: Two possible structural models of the synapse are supported, the first having two parallel paths for signal flow between the photoreceptor and LMC, and the second having two distinct nonlinear operations, occurring before and after chemical transmission.
Abstract: 1. Randomly modulated light stimuli were used to characterize the nonlinear dynamic properties of the synapse between photoreceptors and large monopolar neurons (LMC) in the fly retina. Membrane potential fluctuations produced by constant variance contrast stimuli were recorded at eight different levels of background light intensity. 2. Representation of the photoreceptor-LMC input-output data in the form of traditional characteristic curves indicated that synaptic gain was reduced by light adaptation. However, this representation did not include the time-dependent properties of the synaptic function, which are known to be nonlinear. Therefore nonlinear systems analysis was used to characterize the synapse. 3. The responses of photoreceptors and LMCs to random light fluctuations were characterized by second-order Volterra series, with kernel estimation by the parallel cascade method. Photoreceptor responses were approximately linear, but LMC responses were clearly nonlinear. 4. Synaptic input-output relationships were measured by passing the light stimuli to LMCs through the measured photoreceptor characteristics to obtain an estimate of the synaptic input. The resulting nonlinear synaptic functions were well characterized by second-order Volterra series. They could not be modeled by a linear-nonlinear-linear cascade but were better approximated by a nonlinear-linear-nonlinear cascade. 5. These results support two possible structural models of the synapse, the first having two parallel paths for signal flow between the photoreceptor and LMC, and the second having two distinct nonlinear operations, occurring before and after chemical transmission. 6. The two models were cach used to calculate the synaptic gain to a brief change in photoreceptor membrane potential. Both models predicted that synaptic gain is reduced by light adaptation.

42 citations

Journal ArticleDOI
TL;DR: In this article, a third-order analysis for accurately predicting large-signal power and intermodulation distortion performance for GaAs MESFET amplifiers is presented, which is carried out for both single and two-tone input signals using the Volterra series representation.
Abstract: A third-order analysis for accurately predicting large-signal power and intermodulation distortion performance for GaAs MESFET amplifiers is presented. The analysis is carried out for both single- and two-tone input signals using the Volterra series representation and is based only on small-signal measurements. Simple expressions for the nonlinear power gain frequency response, the output power, the gain compression factor, and the third-order intermodulation (IM/sub 3/) power are presented. The major sources of gain compression and intermodulation distortion are identified. Based on the developed nonlinear analysis in conjunction with the device nonlinear model, a systematic procedure for designing a MESFET amplifier under large-signal conditions for optimum output power and IM/sub 3/ performance is proposed. The method utilizes out of band computed matching compensation through a nonlinear model of the amplifier. The accuracy of the device large-signal and IM/sub 3/ distortion characterization and the practicability of the proposed method are illustrated through comparison between measured and predicted results.

41 citations


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