scholarly journals Shape of impulse response characteristics of linear-phase nonrecursive 2D FIR filter function

2013 ◽  
Vol 26 (2) ◽  
pp. 133-143
Author(s):  
Vlastimir Pavlovic ◽  
Dejan Milic ◽  
Jelena Djordjevic-Kozarov
Keyword(s):  
Surface Area ◽  
Impulse Response ◽  
Stop Band ◽  
Fir Filter ◽  
Pass Band ◽  
Linear Phase ◽  
Filter Function ◽  
Response Characteristics ◽  
New Class ◽  
The Given

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.

scholarly journals A novel analytical method for the selective multiplierless linear-phase 2D FIR filter function

2016 ◽  
Vol 29 (4) ◽  
pp. 689-700
Author(s):  
Jelena Djordjevic-Kozarov ◽  
Vlastimir Pavlovic
Keyword(s):  
Impulse Response ◽  
Chebyshev Polynomials ◽  
Analytical Method ◽  
Finite Impulse Response ◽  
Fir Filter ◽  
Two Dimensional ◽  
Linear Phase ◽  
Filter Function ◽  
New Class ◽  
Fundamental Research

In this paper, a novel analytical method for new class of selective linear-phase two-dimensional (2D) finite impulse response (FIR) filter functions generated by applying a new modified 2D Christoffel-Darboux formula for classical orthogonal Chebyshev polynomials of the first and the second kind is proposed. Fundamental research proposed in this paper is also illustrated by examples of 2D FIR filter and adequate comparison with new class of multiplierless linear-phase 2D FIR filter function given in the literature.

scholarly journals Comparison of classical CIC and a new class of stopband-improved CIC filters formed by cascading non-identical comb sections

2016 ◽  
Vol 29 (1) ◽  
pp. 61-76
Author(s):  
Dejan Milic ◽  
Vlastimir Pavlovic
Keyword(s):  
Impulse Response ◽  
Detailed Comparison ◽  
Filter Function ◽  
Selective Filter ◽  
Integer Coefficients ◽  
New Class

In this paper we propose a new class of selective CIC filters in recursive and nonrecursive form. The filters use a modification of CIC concept, which is achieved by applying a set of non-identical comb sections in cascade. We illustrate examples of the proposed filter function and calculate integer coefficients of filter impulse response. Detailed comparison between the proposed selective filter class and classical CIC filters is given. The results show that the stopband selectivity can be improved significantly in comparison with classical CIC filters with the same filter complexity.

Analytic Techniques for Designing Digital Non-Recursive Filters

1977 ◽  
Vol 14 (3) ◽  
pp. 251-267 ◽  
Author(s):  
J. Attikiouzel ◽  
R. Bennett
Keyword(s):  
Power Series ◽  
Digital Filters ◽  
Stop Band ◽  
Pass Band ◽  
Linear Phase ◽  
Recursive Filters ◽  
Low Pass ◽  
Power Series Technique ◽  
Recursive Digital Filters ◽  
Series Technique

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.

scholarly journals Transitional Selective Linear Phase 1D FIR Filter Function Generated by Christoffel-Darboux Formula for Chebyshev Polynomials

2014 ◽  
Vol 20 (4) ◽  
Author(s):  
V. D. Pavlovic ◽  
D. S. Antic ◽  
S. L. Peric ◽  
S. S. Nikolic ◽  
M. T. Milojkovic
Keyword(s):  
Chebyshev Polynomials ◽  
Fir Filter ◽  
Linear Phase ◽  
Filter Function

scholarly journals Filter function synthesis by Gegenbauer generating function

2006 ◽  
Vol 3 (1) ◽  
pp. 55-62
Author(s):  
Vlastimir Pavlovic
Keyword(s):  
Generating Functions ◽  
Free Parameter ◽  
Transfer Functions ◽  
Pass Band ◽  
Filter Function ◽  
Temperature Changes ◽  
New Class ◽  
Good Shape ◽  
Low Pass ◽  
Amplitude Characteristics

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.

Ultra‐selective lowpass linear‐phase FIR filter function

2013 ◽  
Vol 49 (9) ◽  
pp. 595-597 ◽  
Author(s):  
S. Lj. Perić ◽  
D.S. Antić ◽  
V.D. Pavlović ◽  
S.S. Nikolić ◽  
M.T. Milojković
Keyword(s):  
Fir Filter ◽  
Linear Phase ◽  
Filter Function

On a Design of Narrowband FIR Low-Pass Filters

2011 ◽  
pp. 2882-2887
Author(s):  
Gordana Jovanovic Dolecek ◽  
Javier Diaz Carmona
Keyword(s):  
Impulse Response ◽  
High Frequency ◽  
Digital Filters ◽  
Stop Band ◽  
Low Frequency ◽  
Pass Band ◽  
Low Pass ◽  
Frequency Components ◽  
Band Pass ◽  
High Pass

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).

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
Keyword(s):  
Analytical Method ◽  
Stop Band ◽  
Active Filters ◽  
Pass Band ◽  
New Class ◽  
Factor Module ◽  
Wide Range ◽  
Low Pass ◽  
Two Parameters ◽  
Finite Gain

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.

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