scholarly journals Analysis of finite tolerance effect of critical pole on characteristics of selective RC active special Gegenbauer filters

2013 ◽  
Vol 26 (1) ◽  
pp. 31-46 ◽  
Author(s):  
Vlastimir Pavlovic ◽  
Aleksandar Ilic ◽  
Zlata Cvetkovic

A precise analytical method for finding the explicit expression for the characteristic function of special Gegenbauer filters applicable to the design of RC active filters is suggested in this paper. The adverse parasite effects of limited finite gain-bandwidth product of operational amplifiers are decreased by using filters with the low pass-band attenuation. The new class of continual filter functions generated by analytical method by extremal Christoffel-Darboux formula for orthogonal Gegenbauer polynomials has two parameters. One is the filter order, n, and the second one is real free parameter, v, which provides a wide range of the amplitude responses. In this paper, a detailed analysis of attenuation and insertion loss in the bandwidth and around the stop-band cut-off frequency, wcs, are carried out using 3D plots and using examples of the effect of finite tolerance of quality factor module, Q, of critical conjugate-complex poles of considered RC active filter functions.

2013 ◽  
Vol 273 ◽  
pp. 371-374
Author(s):  
Bao Ping Li ◽  
Yan Liang Zhang

Due to the frequency response periodicity of distributed transmission line, microstrip band-pass filter usually produces parasitic pass-band and outputs harmonics away from the center frequency of main pass-band. Based on the study of rectangular ring defected ground structure, a 5-order microstrip LPF(low-pass filter) was designed using the single-pole band-stop and slow-wave characteristics of the rectangular ring DGS(Defected Ground Structure) and SISS(Step-Impedance Shunt Stub) structure. Compared with traditional LPF, this LPF presents the advantages of compact size, low insertion loss, broad stop-band and high steep. It also validates the requirements of miniaturization and high performance for filters.


2013 ◽  
Vol 562-565 ◽  
pp. 1132-1136
Author(s):  
Xiao Wei Liu ◽  
Jian Yang ◽  
Song Chen ◽  
Liang Liu ◽  
Rui Zhang ◽  
...  

In this paper, we design a high-order switched capacitor filter for rapid change parameter converter. This design uses a structure which consists of three biquads filter sub-units. The design is a 6th-order SC elliptic low-pass filter, and the sample frequency is 250 kHz. By the MATLAB Simulink simulation, the system can meet the design requirements in the time domain. In this paper, the 6th-order switched capacitor elliptic low-pass filter was implemented under 0.5 um CMOS process and simulated in Cadence. The final simulation results show that the pass-band cutoff frequency is 10 kHz, and the maximum pass-band ripple is about 0.106 dB. The stop-band cutoff frequency is 20 kHz, and the minimum stop-band attenuation is 74.78 dB.


2017 ◽  
Vol 744 ◽  
pp. 428-432
Author(s):  
Zhi Wei Zeng ◽  
Ming Zhe Hu ◽  
Jing Li Long ◽  
Deng Hui Ji ◽  
Yue Yin

A low pass filter based on spoof surface plasma polaritons (SSPPs) was devised successfully, which possessed three-section structure, the microstrip wave guide as the first section, the conversion section as the second section, and the SSPPs as the third section. It should be noted that there is a new V-shaped groove structure in the third section, which were carried out by the simulation on characteristics of stop band rejection characteristic and bandwidth for low pass filter. These results indicated that the low pass filter had Pass-band between direct-current and 7.8592GHz, the pass-band insertion loss was better than -3dB, the pass-band reflection was less than -10dB. This new type of SSPPs low pass filter would be certain engineering value in the application of microstrip circuit, microwave base station and radar microwave communication system between L band and X band.


1977 ◽  
Vol 14 (3) ◽  
pp. 251-267 ◽  
Author(s):  
J. Attikiouzel ◽  
R. Bennett

Non-iterative analytic techniques are presented which employ orthogonal polynomials in the design of linear phase non-recursive digital/filters. Pass band and stop band transformations are desired to approximate an ideal low pass digital filter. Also the economization of power series technique is employed to derive near optimum responses.


1998 ◽  
Vol 84 (1) ◽  
pp. 378-388 ◽  
Author(s):  
Ronald S. Platt ◽  
Eric A. Hajduk ◽  
Manuel Hulliger ◽  
Paul A. Easton

Platt, Ronald S., Eric A. Hajduk, Manuel Hulliger, and Paul A. Easton. A modified Bessel filter for amplitude demodulation of respiratory electromyograms. J. Appl. Physiol. 84(1): 378–388, 1998.—We studied a device that is commonly used for amplitude demodulation of respiratory muscle electromyograms (EMG). This device contains a rectifier and a low-pass filter called a modified third-order Paynter filter. We characterized this filter and found that it has good transient characteristics that suit its task as an EMG demodulator, but it has poor high-frequency attenuation that passes interfering, higher frequency components to the output waveform. Therefore, we designed and constructed a new filter with transient characteristics that are comparable to those of the modified Paynter filter but with superior high-frequency attenuation. This new filter is a modified seventh-order Bessel filter. We also identified a simple technique to convert an existing modified Paynter filter back to an original Paynter filter. The original Paynter filter has a wider pass band than the modified Paynter filter but superior stop-band attenuation.


2011 ◽  
Vol 20 (07) ◽  
pp. 1289-1300 ◽  
Author(s):  
S. K. MAURYA ◽  
Y. K. GUPTA ◽  
PRATIBHA

A new class of charged superdense star models is obtained by using an electric intensity, which involves two parameters, K and n. The metric describing the model shares its metric potential g44 with that of Durgapal's fourth solution.1 The pressure-free surface is kept at the density 2 × 1014 g/cm 3and joins smoothly the Reissner–Nordstrom solution. The neutral solution is well-behaved for 0 < Ca2 ≤ 0.2645, while its charge analogs are well-behaved for a wide range, 0 < K < 32, i.e. the pressure, density, pressure–density ratio and velocity of sound are monotonically decreasing and the electric intensity is monotonically increasing in nature for the given range of the parameter K. The maximum mass and the corresponding radius occupied by the neutral solution are 4.1826 MΘ and 19.7120 km, respectively for Ca2 = 0.2645, while the redshift at the center and at the surface are given by Z0 = 1.6444 and Za = 0.6538, respectively. For the charged solution, the maximum mass and radius are 6.3811MΘ and 19.1609 km, respectively for K = 1.4, n = 1 and Ca2 = 0.5016, with the redshift at the center Z0 = 3.7437 and at the surface Za = 1.1038.


2013 ◽  
Vol 26 (2) ◽  
pp. 133-143
Author(s):  
Vlastimir Pavlovic ◽  
Dejan Milic ◽  
Jelena Djordjevic-Kozarov

An analytical method for the new class of linear-phase multiplierless 2D FIR filter functions generated by applying the Christoffel-Darboux formula for classical Chebyshev polynomials of the first and the second kind, proposed in [6] was used for designing of linear-phase multiplierless 2D FIR filter described in this paper. Correct transformation from continuous two-dimensional domain into the z domains without residuum and without errors is described. The proposed solution high selectivity is a filter function in the z1 domain, and the Hilbert transformer in the z2 domain. The impulse response coefficients of proposed 2D FIR filter functions are presented in this paper, and corresponding examples of impulse response are illustrated. The paper also presents detailed analysis of the size of pass-band and stop-band of proposed multiplierless linear-phase 2D FIR filter function. Normalized surface area of the filter function pass-band is 3.45789156 10-5 for given maximal attenuation of 0.28 dB. Normalized surface area of the filter function stop-band is 80.395% for the given minimal attenuation of 100 dB.


2006 ◽  
Vol 3 (1) ◽  
pp. 55-62
Author(s):  
Vlastimir Pavlovic

Low-pass all-pole transfer functions with non-monotonic amplitude characteristic in the pass-band and at least (n -1) flatness conditions for ? = 0 are considered in this paper. A new class of filters in explicit form with one free parameter is obtained by applying generating functions of Gegenbauer polynomials. This class of filters has good selectivity and good shape of amplitude characteristics in the pass-band. The amplitude characteristics of these transfer functions have gain in the upper part of pass-band with respect to the gain for ? = 0. This way we have greater margin of attenuation in the upper part of the pass-band. This means a greater tolerance of elements or for elements with given tolerances, greater ambient temperature changes. The appropriate choice of the free parameter enables us to generate filter functions obtained with Chebyshev polynomials of the first and second kind and Legendre polynomials.


Author(s):  
Gordana Jovanovic Dolecek ◽  
Javier Diaz Carmona

Stearns and David (1996) states that “for many diverse applications, information is now most conveniently recorded, transmitted, and stored in digital form, and as a result, digital signal processing (DSP) has become an exceptionally important modern tool.” Typical operation in DSP is digital filtering. Frequency selective digital filter is used to pass desired frequency components in a signal without distortion and to attenuate other frequency components (Smith, 2002; White, 2000). The pass-band is defined as the frequency range allowed to pass through the filter. The frequency band that lies within the filter stop-band is blocked by the filter and therefore eliminated from the output signal. The range of frequencies between the pass-band and the stop-band is called the transition band and for this region no filter specification is given. Digital filters can be characterized either in terms of the frequency response or the impulse response (Diniz, da Silva & Netto, 2002). Depending on its frequency characteristic, a digital filter is either low-pass, high-pass, band-pass, or band-stop filters. A low-pass (LP) filter passes low frequency components to the output, while eliminating high-frequency components. Conversely, the high-pass (HP) filter passes all high-frequency components and rejects all low-frequency components. The band-pass (BP) filter blocks both low- and high-frequency components while passing the intermediate range. The band-stop (BS) filter eliminates the intermediate band of frequencies while passing both low- and high-frequency components. In terms of their impulse responses digital filters are either infinite impulse response (IIR) or finite impulse response (FIR) digital filters. Each of four types of filters (LP, HP, BP, and BS) can be designed as an FIR or an IIR filter (Ifeachor & Jervis, 2001; Mitra, 2005; Oppenheim & Schafer, 1999).


SIMULATION ◽  
1966 ◽  
Vol 6 (5) ◽  
pp. 323-336 ◽  
Author(s):  
Peter D. Hansen

Operational amplifiers can greatly simplify the design of high performance signal filters because they elimi nate the need for inductors and for impedance matching. Furthermore, use of active filters can result in reduc tion of weight, size, and cost. Filters designed to satisfy sophisticated mathematical criteria can be realized without resort to "equalization" or trimming. In this issue we discuss the design of operational amplifier and analog computer circuits suitable for use as low pass filters. We also discuss the commonly used mathematically designed filters, i.e. Butterworth, Chebyshev, and Bessel. In addition, we present two new types of theoretical filters, the Paynter and the Aver aging filters. Design data necessary for realizing these theoretical filters with amplifier circuits is provided. In the next issue we shall discuss the design of band pass, band reject, high pass and all pass active filter circuits.


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