The Optimal and Straightforward Design of Bandpass Wave Digital Lattice Filters With Arbitrary Loss Specifications

Yaseen, Mohamed

doi:10.1002/(sici)1097-007x(199705/06)25:3<209::aid-cta964>3.0.co;2-j

Cited by 5 publications

(6 citation statements)

References 9 publications

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“…2. The approximation process by Yaseen [38] requires solution of a set of equations. In this contribution, the approximation requires generation of arbitrary phase polynomial, which is carried out using explicit recursive formulas.…”

Section: Comparison and Conclusionmentioning

confidence: 99%

“…. The direct design of band‐pass ladder wave digital filters has been introduced by Yaseen . The direct design of band‐stop wave digital lattice filters has been introduced by Yaseen .…”

Section: Introductionmentioning

confidence: 99%

“…Previously, these filters were designed for many applications [27][28][29] by applying methods based on frequency transformation techniques [7,30,31]. However, such methods suffer from many disadvantages [32,33]. These disadvantages have been overcome by applying direct design methods.…”

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confidence: 99%

“…The design of lattice wave digital filters exhibiting arbitrary number of bands has initially been considered by Yaseen [38]. In this contribution, the optimal design for these filters will be delivered.…”

mentioning

confidence: 99%

“…The direct design of band-pass wave digital lattice filters satisfying arbitrary amplitude or simultaneous amplitude, and phase specifications has been introduced in Ref. [32][33][34]. The direct design of band-pass ladder wave digital filters has been introduced by Yaseen [35,36].…”

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confidence: 99%

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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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Section: Comparison and Conclusionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%