Robust and direct design for highpass ladder wave digital filters exhibiting equiripple characteristics

Yaseen, Mohamed

doi:10.1016/j.dsp.2012.12.017

Cited by 4 publications

(7 citation statements)

References 22 publications

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“…The statistical correlation method for determining these dynamic characteristics is based on the solution of an inte-In view of the above, many algorithms and technologies of filtration have been proposed with the aim of eliminating the effects of the noise on the result of identification of statistical models of the dynamics of control objects over a long period of time [8][9][10]. The ones that allow for eliminating the error of the noises caused by external factors have found a wide application [10][11][12]. However, in real-life objects, noises of technological processes form under the influence of various factors.…”

Section: Analysis Of Published Data and Problem Statementmentioning

confidence: 99%

Development of the algorithms of correction of correlation matrices

Алиев

Musayeva

Sattarova

et al. 2015

EEJET

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Проаналізовано проблеми формування кореляційних матриць в задачах ідентифікації матричних моделей динаміки реальних виробничих об'єктів. Запропоновано узагальнені алгоритми, що дозволяють звести ці матриці до аналогічних матрицям корисних сигналів. При цьому враховані специфіки реальних зашумлених технологічних параметрів, показана можливість застосування даних алгоритмів для випадків відсутності і присутності кореляції між корисним сигналом і перешкодою Ключові слова: стохастичний процес, технологічний параметр, зашумлений сигнал, кореляційна матриця, модель динаміки Проанализированы трудности формирования корреляционных матриц в задачах идентификации матричных моделей динамики реальных производственных объектов. Предложены обобщенные алгоритмы, позволяющие свести эти матрицы к аналогичным матрицам полезных сигналов. При этом учтены специфики реальных зашумленных технологических параметров, показана возможность применения данных алгоритмов для случаев отсутствия и присутствия корреляции между полезным сигналом и помехой Ключевые слова: стохастический процесс, технологический параметр, зашумленный сигнал, корреляционная матрица, модель динамики

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Section: Analysis Of Published Data and Problem Statementmentioning

confidence: 99%

Development of the algorithms of correction of correlation matrices

Алиев

Musayeva

Sattarova

et al. 2015

EEJET

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“…Comparing this method with that introduced in Ref. , the following points can be extracted:The approximation problem by Yaseen is reduced to constructing a rational function composed of two polynomials. One of these polynomials is odd while the other is even.…”

Section: Comparison and Conclusionmentioning

confidence: 99%

“…The design of lattice wave digital filters exhibiting arbitrary number of bands has initially been considered by Yaseen . In this contribution, the optimal design for these filters will be delivered.…”

Section: Introductionmentioning

confidence: 99%

“…In literature, a variety of design methods and algorithms are available for low-pass lattice and bireciprocal wave digital filters approximating amplitude or simultaneous amplitude and phase requirements [15][16][17][18][19][20][21][22][23]. The design of low-pass ladder wave digital filters has been considered by Sedlmeyer and Fettweis [24], Fettweis et al [25], and Constantinides [26].…”

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confidence: 99%

“…[32][33][34]. The direct design of band-pass ladder wave digital filters has been introduced by Yaseen [35,36]. The direct design of band-stop wave digital lattice filters has been introduced by Yaseen [37].…”

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On the design of multiband transmission functions synthesized by one wave digital lattice structure

Yaseen

2011

Circuit Theory & Apps

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SUMMARYIn this contribution, the design of multiband transmission functions is considered. Independent and arbitrary number of bands can be designed. Moreover, the whole transmission function is synthesized by one wave digital lattice structure. The approximation process starts by extracting the scattering matrix properties of multiband reference lattice structures. Consequently, the approximation problem reduces to generating a polynomial Q of degree n, which is the degree of the filter. The degree n is depending on the number of the designed bands. Hence, if the number of bands is even, n will be odd, and if the number of bands is odd, n will be even. The polynomial Q will approximate the difference phase function of the two branch polynomials. It is composed of two subpolynomials, one of them is Hurwitz and the other is anti-Hurwitz. The degrees of these subpolynomials differ by odd number if the number of bands is even and differ by even number if the number of bands is odd. Q is generated according to iterative interpolation and using explicit recursive formulas. After obtaining Q, the two subpolynomials are calculated and the two branch all-pass functions are constructed. Consequently, the filter is synthesized in the digital frequency domain. The method is applied through an illustrative example.

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