An Analytical Method for the Multiplierless 2-D FIR Filter Functions and Hilbert Transform in $z2$ Domain

Djordjevic-Kozarov, Jelena R.; Pavlović, Vlastimir D.

doi:10.1109/tcsii.2013.2268340

Cited by 12 publications

(28 citation statements)

References 18 publications

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“…This paper presents the further generalization of the previous research [5][6][7] in two dimensions. The proposed solution is a filter function in the z1 domain, and the Hilbert transformer in the z2 domain.…”

Section: Introductionmentioning

confidence: 83%

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

2013

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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 linearphase 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.

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Section: Introductionmentioning

confidence: 83%

“…If we directly apply the Christoffel-Darboux formula proposed in [6], a new class of 2D FIR filter functions can be obtained as…”

Section: Linear-phase 2d Fir Filter Functionmentioning

confidence: 99%

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

2013

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“…In papers [7][8][9], the Christofel-Darboux formula is applied most directly in the design of one-dimensional z domain multiplierless Iinear phase FIR filters and 2D FIR filter is described by analytical method.…”

Section: Introductionmentioning

confidence: 99%

3D parametric analysis of the RC active Gegenbauer filters

Pavlović

Ilić

Cvetkovic

2013

2013 21st Telecommunications Forum Telfor (TELFOR)

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The paper proposes a precise analytical method for finding the explicit expression for the characteristic function of filters applicable to the design of RC active filters. 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, the filter order, n , and the real free parameter, V , provides a wide range of the amplitude responses, [5]. In this paper, a detailed analysis of attenuation in the bandwidth and insertion loss around the stop-band cut-off frequency, ffi es ' are carried out using 3D plots on the example of the filter function of the 12-th order.

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“…In this paper, we analyze the characteristic of pass-band as well as the characteristics of stop-band of multiplierless linear-phase 2D FIR filter functions published in previous research [6].…”

Section: Introductionmentioning

confidence: 99%

Size analysis surface area of the pass-band and stopband of multiplierless 2D FIR filter

Djordjevic-Kozarov

Pavlović

2013

2013 11th International Conference on Telecommunications in Modern Satellite, Cable and Broadcasting Services (TELSIKS)

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An Analytical Method for the Multiplierless 2-D FIR Filter Functions and Hilbert Transform in $z2$ Domain

Cited by 12 publications

References 18 publications

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

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

3D parametric analysis of the RC active Gegenbauer filters

Size analysis surface area of the pass-band and stopband of multiplierless 2D FIR filter

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