Design, Simulation And Theoretical Analysis Of Butterworth And Chebyshev Second Order Active Filters

2005 ◽  
Author(s):  
A. M. Swidan ◽  
S. M. El‐Ghanam ◽  
H. A. Ashry ◽  
F. A. S. Soliman ◽  
W. Abdel‐Basit
Keyword(s):  
Theoretical Analysis ◽  
Second Order ◽  
Active Filters

scholarly journals THEORETICAL ANALYSIS OF WAVELENGTH CONVERSION FOR CASCADING SECOND-ORDER NONLINE ARITIES IN SILICA FIBER

2000 ◽  
Vol 49 (9) ◽  
pp. 1792
Author(s):  
LIU XUE-MING ◽  
LIU LING ◽  
SUN XIAO-HAN ◽  
ZHANG MING-DE
Keyword(s):  
Theoretical Analysis ◽  
Wavelength Conversion ◽  
Second Order ◽  
Silica Fiber

On the Convexity Correction Approximation in Pricing Volatility Swaps and VIX Futures

2018 ◽  
Vol 14 (03) ◽  
pp. 383-401
Author(s):  
Song-Ping Zhu ◽  
Guang-Hua Lian
Keyword(s):  
Theoretical Analysis ◽  
Fourth Order ◽  
Taylor Expansion ◽  
Second Order ◽  
Approximation Technique ◽  
Third Order ◽  
Numerical Examples ◽  
Taylor Expansions ◽  
Vix Futures ◽  
Validity Condition

Convexity correction is a well-known approximation technique used in pricing volatility swaps and VIX futures. However, the accuracy of the technique itself and the validity condition of this approximation have hardly been addressed and discussed in the literature. This paper shows that, through both theoretical analysis and numerical examples, this type of approximations is not necessarily accurate and one should be very careful in using it. We also show that a better accuracy cannot be achieved by extending the convexity correction approximation from a second-order Taylor expansion to third-order or fourth-order Taylor expansions. We then analyze why and when it deteriorates, and provide a validity condition of applying the convexity correction approximation. Finally, we propose a new approximation, which is an extension of the convexity correction approximation, to achieve better accuracies.

scholarly journals Second-Order Consensus in Multiagent Systems via Nonlinear Protocol

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Huan Pan ◽  
Xiaohong Nian ◽  
Ling Guo
Keyword(s):  
Theoretical Analysis ◽  
Multiagent Systems ◽  
Invariance Principle ◽  
Lyapunov Functions ◽  
Multiagent System ◽  
Second Order ◽  
General Linear ◽  
Reference Velocity ◽  
Communication Topology ◽  
Lasalle's Invariance Principle

This paper focuses on theoretical analysis of second-order consensus in multiagent system. As an extension of the general linear protocol, a nonlinear protocol is designed for multiagent system with undirected communication topology. The nonlinear protocol is also applied to achieve reference velocity consensus. Through choosing the appropriate Lyapunov functions and using LaSalle’s invariance principle, some consensus conditions are derived. Simulation examples are provided to demonstrate the effectiveness of the proposed results.

scholarly journals High-Frequency Sections of Active Filters of Mixed-Signal SoC Based on Current Amplifiers

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Sergei Krutchinsky ◽  
Nikolai Prokopenko
Keyword(s):  
High Frequency ◽  
Sufficient Conditions ◽  
Basic Structure ◽  
Second Order ◽  
Active Filters ◽  
Order Unit ◽  
Mixed Signal ◽  
Active Elements

The sufficient conditions for the efficient use of active elements are formulated by analyzing the basic structure of second-order unit. The expediency of current amplifiers usage in HF and SHF filters is shown. The examples of a methodical nature are given and conclusions of application importance are formulated.

scholarly journals Applying Genetic Algorithm to Optimization Second-Order Bandpass MGMFB Filter

2020 ◽  
Vol 28 (4) ◽  
Author(s):  
Maad Mohsin Mijwil ◽  
Rana Ali Abttan
Keyword(s):  
Genetic Algorithm ◽  
Optimization Problem ◽  
Optimization Methods ◽  
Second Order ◽  
Active Filters ◽  
Multi Objective Optimization ◽  
Complex Situation ◽  
Human Effort ◽  
True Values ◽  
Selection Of

In this paper, we have applied the genetic algorithm to the selection of the true values for RC (resistors/capacitors) as an essential role in the development of analogue active filters. The classic method of incorporating passive elements is a complex situation and can attend to errors. In order to reduce the frequency of errors and the human effort, evolutionary optimization methods are employed to select the RC values. In this study, Genetic algorithm (GA) is proposed to optimize the second-order active filter. It must find the values of the passive elements RC to get a filter configuration that reduces the sensitivities to variations as well as reduces design errors less than a defined height value, concerning certain specifications. The optimization problem which is one of the problems that must be solved by GA is a multi-objective optimization problem (MOOP). GA was carried out taking into account two possible situations about the values that resistors and capacitors could adopt. The obtained experimental results show that GA can be used to obtain filter configurations that meet the specified standard.

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