Simple design and realisation of linear phase 2D FIR filters with diamond frequency support

Klouche-Djedid, A.; Lawson, S.S.

doi:10.1049/el:19990787

Cited by 4 publications

(4 citation statements)

References 4 publications

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“…The examples of the proposed filter obtained for particular values of free real integer parameters K and M from (15) are given further. From (19) for given integer values of free parameters K and M, the linear-phase response characteristic of proposed 2D FIR filter function has explicit compact form as follows…”

Section: Proposed Novel Mathematical Backgroundmentioning

confidence: 99%

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Ultra‐selective spike multiplierless linear‐phase two‐dimensional FIR filter function with full Hilbert transform effect

Pavlović

Djordjevic-Kozarov

2014

IET Circuits, Devices & Systems

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In this study, a novel analytical method for new class of linear-phase two-dimensional (2D) finite impulse response (FIR) filter functions with full effect of Hilbert transformer in z 1 and z 2 domains 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 study is also illustrated by examples of 2D FIR filter, Hilbert transformer and adequate comparison with new class of multiplierless linear-phase 2D FIR filter function given in the literature. For all 2D FIR filter functions, comparisons are made for the same values of free real parameters, and they show the improvement of the spike sharpness.

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Section: Proposed Novel Mathematical Backgroundmentioning

confidence: 99%

“…Some different methods for linear-phase 2D FIR filter design are described in [17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Ultra‐selective spike multiplierless linear‐phase two‐dimensional FIR filter function with full Hilbert transform effect

Pavlović

Djordjevic-Kozarov

2014

IET Circuits, Devices & Systems

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“…A new formula for determining the frequency grid spacing is proposed. One-dimensional half-band linear-phase FIR filter design approach is efficiently used in realization of 2D linear-phase FIR filter [6].…”

Section: Introductionmentioning

confidence: 99%

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

Djordjevic-Kozarov

Pavlović

2016

FACTA U EE

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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.

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“…Iterative methods and many efficient algorithms for the design of 2D filters are discussed in references [12][13][14][15][16][17][18][19][20]. In [12] the authors discuss the various approaches of designing 1D and 2D FIR filters using the theory of weighted Chebyshev approximations.…”

Section: Introductionmentioning

confidence: 99%

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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Simple design and realisation of linear phase 2D FIR filters with diamond frequency support

Cited by 4 publications

References 4 publications

Ultra‐selective spike multiplierless linear‐phase two‐dimensional FIR filter function with full Hilbert transform effect

Ultra‐selective spike multiplierless linear‐phase two‐dimensional FIR filter function with full Hilbert transform effect

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

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

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