Design of active filters independent of first-and second-order operational amplifier time constant effects

1981 ◽  
Vol 28 (8) ◽  
pp. 749-757 ◽  
Author(s):  
R. Geiger ◽  
A. Budak
Author(s):  
Gordana Lukić

A b s t r a c t: The sensitivity of different Barber filters is investigated. It has been found that the sensitivity depends on the orders of the filters and on the types of the applied approximations. The sensitivity of the Barber filters does not change essentially by increasing the order of the filter, as is shown in the paper. A comparison between the sensitivity of traditional active filters of the second order and Barber filters of the second order is presented. Taken into consideration is the transfer function sensitivity with respect to time constant T because the value of the time constant is the most unstable quantity. The advantage of the Barber filters is obvious in sensitivity, especially for Barber bandpass filters. Because of their low sensitivity Barber filters are very suitable to use in moving objects, like aeroplanes, satellites and rockets.


2005 ◽  
Author(s):  
A. M. Swidan ◽  
S. M. El‐Ghanam ◽  
H. A. Ashry ◽  
F. A. S. Soliman ◽  
W. Abdel‐Basit

1972 ◽  
Vol 5 (2) ◽  
pp. 53-57
Author(s):  
J O Gray ◽  
J P Palmer

A hybrid computer configuration has been devised for the fast on-line estimation of the parameters of a second order exponential time function. Experimental results are given for a range of time constant ratios and the effect of signal noise is considered.


1991 ◽  
Vol 70 (1) ◽  
pp. 165-170 ◽  
Author(s):  
P. MARTÍNEZ ◽  
A. CARLOSENA ◽  
S. CELMA ◽  
S. PORTA

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Sergei Krutchinsky ◽  
Nikolai Prokopenko

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.


2020 ◽  
Vol 28 (4) ◽  
Author(s):  
Maad Mohsin Mijwil ◽  
Rana Ali Abttan

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.


2018 ◽  
Vol 8 (12) ◽  
pp. 2603 ◽  
Author(s):  
David Kubanek ◽  
Todd Freeborn ◽  
Jaroslav Koton ◽  
Jan Dvorak

In this paper, fractional-order transfer functions to approximate the passband and stopband ripple characteristics of a second-order elliptic lowpass filter are designed and validated. The necessary coefficients for these transfer functions are determined through the application of a least squares fitting process. These fittings are applied to symmetrical and asymmetrical frequency ranges to evaluate how the selected approximated frequency band impacts the determined coefficients using this process and the transfer function magnitude characteristics. MATLAB simulations of ( 1 + α ) order lowpass magnitude responses are given as examples with fractional steps from α = 0.1 to α = 0.9 and compared to the second-order elliptic response. Further, MATLAB simulations of the ( 1 + α ) = 1.25 and 1.75 using all sets of coefficients are given as examples to highlight their differences. Finally, the fractional-order filter responses were validated using both SPICE simulations and experimental results using two operational amplifier topologies realized with approximated fractional-order capacitors for ( 1 + α ) = 1.2 and 1.8 order filters.


1982 ◽  
Vol 18 (9) ◽  
pp. 365 ◽  
Author(s):  
R. Moon ◽  
F.W. Stephenson
Keyword(s):  

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