Design of Active Filter Based on MATLAB

2014 ◽  
Vol 668-669 ◽  
pp. 862-865
Author(s):  
Sheng Hui Xu
Keyword(s):  
Transfer Function ◽  
Design Method ◽  
Active Filter ◽  
Fast Method ◽  
Performance Simulation ◽  
Pass Filter ◽  
Circuit Performance ◽  
High Pass ◽  
Manual Calculation

A new fast design method for active filter is proposed which is different from the conventional ones, as the conventional methods such as the application of manual calculation tends to be time-consuming, complex and pone to error in determination of active filter’s transfer function, also the application of table look-up can only apply to the filter of limited order less than 10. This fast method is illustrated in detail by a practical example of high pass filter. First, transfer function can be rapidly calculated in MATLAB, then the filter circuit performance simulation is presented through EDA, the results show that the proposed method enhances the efficiency of the design as it is fast, precise and direct, what’s more, the fast method is of practical guiding significance to active filter’s design, especially for high order ones.

ON A HIGH-PASS FILTER DESCRIBED BY LOCAL FRACTIONAL DERIVATIVE

Fractals ◽  
2020 ◽  
Vol 28 (03) ◽  
pp. 2050031 ◽  
Author(s):  
KANG-JIA WANG
Keyword(s):  
Transfer Function ◽  
Laplace Transform ◽  
Fractional Derivative ◽  
Pass Filter ◽  
Electrical Circuits ◽  
Local Fractional Derivative ◽  
High Pass Filter ◽  
Fractal Space ◽  
High Pass

The local fractional derivative (LFD) has gained much interest recently in the field of electrical circuits. This paper proposes a non-differentiable (ND) model of high-pass filter described by the LFD, where the ND transfer function is obtained with the help of the local fractional Laplace transform, and its parameters and properties are studied. The obtained results reveal the sufficiency of the LFD for analyzing circuit systems in fractal space.

scholarly journals Determination of an Objective Criterion for the Assessment of the Feasibility of an Instrumented Indentation Test on Rough Surfaces

Materials ◽  
2020 ◽  
Vol 13 (7) ◽  
pp. 1589
Author(s):  
Julie Marteau ◽  
Abdeljalil Jourani ◽  
Maxence Bigerelle
Keyword(s):  
Fractal Dimension ◽  
Indentation Test ◽  
Roughness Parameters ◽  
Instrumented Indentation ◽  
Objective Criterion ◽  
Pass Filter ◽  
Maximum Indentation Depth ◽  
High Pass ◽  
Instrumented Indentation Test

The influence of roughness on the results of indentation testing was investigated using a semianalytical model. This model used simulated surfaces that were described using three standard roughness parameters: the root-mean-square deviation Sq, the wavelength (or cut-off of Gaussian high-pass filter), and the fractal dimension. It was shown that Sq had the largest effect on the determination of the macrohardness, while the surface wavelength and fractal dimension had negligible effects at the scale of investigation. The error of determination of the macrohardness rose with the increase of the ratio Sq/hmax where hmax was the maximum indentation depth: Sq/hmax ratios lower than 0.02 were required to obtain a systematic error of the macrohardness lower than 5%, whatever the examined material mechanical properties (in elasticity and plasticity).

scholarly journals (N + α)-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating butterworth response

2021 ◽  
Vol 24 (3) ◽  
pp. 689-714
Author(s):  
David Kubanek ◽  
Jaroslav Koton ◽  
Jan Jerabek ◽  
Darius Andriukaitis
Keyword(s):  
Transfer Function ◽  
Fractional Order ◽  
Transfer Functions ◽  
Function Optimization ◽  
Pass Filter ◽  
Operational Transconductance Amplifiers ◽  
High Pass Filter ◽  
Approximation Errors ◽  
Low Pass ◽  
High Pass

Abstract The formula of the all-pole low-pass frequency filter transfer function of the fractional order (N + α) designated for implementation by non-cascade multiple-feedback analogue structures is presented. The aim is to determine the coefficients of this transfer function and its possible variants depending on the filter order and the distribution of the fractional-order terms in the transfer function. Optimization algorithm is used to approximate the target Butterworth low-pass magnitude response, whereas the approximation errors are evaluated. The interpolated equations for computing the transfer function coefficients are provided. An example of the transformation of the fractional-order low-pass to the high-pass filter is also presented. The results are verified by simulation of multiple-feedback filter with operational transconductance amplifiers and fractional-order element.

Pulse-shape distortion introduced by broadband deconvolution

1992 ◽  
Vol 82 (1) ◽  
pp. 238-258
Author(s):  
Stuart A. Sipkin ◽  
Arthur L. Lerner-Lam
Keyword(s):  
Transfer Function ◽  
Ground Motion ◽  
Low Frequency ◽  
Frequency Noise ◽  
Low Frequencies ◽  
Pass Filter ◽  
Long Period ◽  
High Pass Filter ◽  
Low Pass ◽  
High Pass

Abstract The availability of broadband digitally recorded seismic data has led to an increasing number of studies using data from which the instrument transfer function has been deconvolved. In most studies, it is assumed that raw ground motion is the quantity that remains after deconvolution. After deconvolving the instrument transfer function, however, seismograms are usually high-pass filtered to remove low-frequency noise caused by very long-period signals outside the frequency band of interest or instabilities in the instrument response at low frequencies. In some cases, data must also be low-pass filtered to remove high-frequency noise from various sources. Both of these operations are usually performed using either zero-phase (acausal) or minimum-phase (causal) filters. Use of these filters can lead to either bias or increased uncertainty in the results, especially when taking integral measures of the displacement pulse. We present a deconvolution method, based on Backus-Gilbert inverse theory, that regularizes the time-domain deconvolution problem and thus mitigates any low-frequency instabilities. We apply a roughening constraint that minimizes the long-period components of the deconvolved signal along with the misfit to the data, emphasizing the higher frequencies at the expense of low frequencies. Thus, the operator acts like a high-pass filter but is controlled by a trade-off parameter that depends on the ratio of the model variance to the residual variance, rather than an ad hoc selection of a filter corner frequency. The resulting deconvolved signal retains a higher fidelity to the original ground motion than that obtained using a postprocess high-pass filter and eliminates much of the bias introduced by such a filter. A smoothing operator can also be introduced that effectively applies a low-pass filter. This smoothing is useful in the presence of blue noise, or if inferences about source complexity are to be made from the roughness of the deconvolved signal.

Design Method for Third-Order High-Pass Filter

2016 ◽  
Vol 31 (1) ◽  
pp. 402-403 ◽  
Author(s):  
Tianyu Ding ◽  
Wilsun Xu ◽  
Hao Liang
Keyword(s):  
Design Method ◽  
Third Order ◽  
Pass Filter ◽  
High Pass Filter ◽  
High Pass

scholarly journals Efficient digital filters with variable cut-off based on all-pass and sharpening digital filters

2012 ◽  
Vol 25 (3) ◽  
pp. 203-211
Author(s):  
Maja Lutovac ◽  
Vlastimir Pavlovic ◽  
Miroslav Lutovac
Keyword(s):  
Signal Processing ◽  
Transfer Function ◽  
Control Systems ◽  
Computer Algebra ◽  
Computer Algebra System ◽  
Digital Filters ◽  
Design Method ◽  
Small Element ◽  
Pass Filter ◽  
Wave Digital Filters

All-pass digital filters are known as excellent prototype filters in many applications, such as control systems, signal processing and communications. Efficient filters can be designed because transfer function is very robust to small element changes. The drawback of digital filters based on all-pass filter sections is that they are not suitable for tuning and the design of filters with variable cut-off frequency. In this paper there is proposed a new design method suitable for the design of filters that may satisfy different attenuation specifications and variable cut-off based on low-order wave digital filters. The method is derived using computer algebra system.

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