A volterra series-enhanced model to predict the non-linear sampling distortion in flash A/D converters due to substrate noise

2010 ◽  
Author(s):  
Athanasios Stefanou ◽  
Georges Gielen
Keyword(s):  
Volterra Series ◽  
Substrate Noise ◽  
Non Linear ◽  
Linear Sampling

Research of Volterra Series Kernel Coefficient Calculation Method

2011 ◽  
Vol 255-260 ◽  
pp. 2967-2971
Author(s):  
Yu Chen ◽  
Xin Ling Wen ◽  
Jin Tao Meng
Keyword(s):  
Hilbert Space ◽  
Reproducing Kernel ◽  
Volterra Series ◽  
Simple Calculation ◽  
Difficult Problem ◽  
Coefficient Problem ◽  
Memory Length ◽  
Non Linear ◽  
Non Linear System ◽  
Space Method

Volterra series kernel coefficient calculation of non-linear system is a difficult problem. In this paper, we introduce some way, which can get kernel coefficient. With the increasing of memory length and identification order, it can make calculation complex and hard to rebuild system non-linear model. This article introduces some conventional Volterra series kernel calculation ways, and introduces a kind of method to get Volterra series kernel through using Hilbert space method emphasis, this method can transform Volterra series kernel coefficient calculation problem into reproducing kernel coefficient problem, which has largely simple calculation rate and can get any order Volterra series kernel coefficient in theory.

scholarly journals Non-linear system modelling based on constrained Volterra series estimates

2017 ◽  
Vol 11 (15) ◽  
pp. 2623-2629 ◽  
Author(s):  
Przemysław Śliwiński ◽  
Anna Marconato ◽  
Paweł Wachel ◽  
Georgios Birpoutsoukis
Keyword(s):  
Linear System ◽  
Volterra Series ◽  
System Modelling ◽  
Non Linear ◽  
Non Linear System

scholarly journals Simulation of the Dynamic Transistor Negatrons

2000 ◽  
Vol 23 (3) ◽  
pp. 115-129 ◽  
Author(s):  
Pavlo Molchanov ◽  
Arun K. Misra ◽  
Helen Linnik ◽  
Pavlo Mulyar
Keyword(s):  
Equivalent Circuit ◽  
Linear Model ◽  
Linear Relation ◽  
Volterra Series ◽  
Linear Charge ◽  
Active Resistance ◽  
Charge Model ◽  
Non Linear ◽  
Theoretical Predictions

The simulation principles of monolithic microwave dynamic transistor negatrons (circuits with negative differential active resistance) are introduced. The non-linear model has been developed on the basis of non-linear charge model. The equivalent circuit and Volterra series were used for the calculation of dynamic negatrons' parameters. The expressions were obtained, which give the linear relation between current and voltage charges and allow calculating the transferring characteristics. Experimental oscillators are described, which confirm the theoretical predictions.

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