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Yaseen, M., Sayed Mohammed, U. (2007). New Simultaneous Approximation for Wave Digital Lattice Filters Based on the Alternative and Iterative Generation of the Two Branch Polynomials. JES. Journal of Engineering Sciences, 35(No 2), 477-488. doi: 10.21608/jesaun.2007.111547
Mohamed Yaseen; Usama Sayed Mohammed. "New Simultaneous Approximation for Wave Digital Lattice Filters Based on the Alternative and Iterative Generation of the Two Branch Polynomials". JES. Journal of Engineering Sciences, 35, No 2, 2007, 477-488. doi: 10.21608/jesaun.2007.111547
Yaseen, M., Sayed Mohammed, U. (2007). 'New Simultaneous Approximation for Wave Digital Lattice Filters Based on the Alternative and Iterative Generation of the Two Branch Polynomials', JES. Journal of Engineering Sciences, 35(No 2), pp. 477-488. doi: 10.21608/jesaun.2007.111547
Yaseen, M., Sayed Mohammed, U. New Simultaneous Approximation for Wave Digital Lattice Filters Based on the Alternative and Iterative Generation of the Two Branch Polynomials. JES. Journal of Engineering Sciences, 2007; 35(No 2): 477-488. doi: 10.21608/jesaun.2007.111547

New Simultaneous Approximation for Wave Digital Lattice Filters Based on the Alternative and Iterative Generation of the Two Branch Polynomials

Article 10, Volume 35, No 2, March and April 2007, Page 477-488  XML PDF (339.76 K)
Document Type: Research Paper
DOI: 10.21608/jesaun.2007.111547
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Authors
Mohamed Yaseen email 1; Usama Sayed Mohammed2
1Electrical Engineering Department, Faculty of Engineering, Assiut University, Assiut, Egypt
2Electrical Engineering Department,Faculty of Engineering,Assiut University, Assiut, Egypt
Abstract
In this contribution, a new simultaneous amplitude and phase approximation for wave digital lattice structures is introduced. It is relying on the orientation of one of the two branch polynomials to adjust the amplitude, while the other is oriented to adjust the phase. The approximation process starts with proper initial settings for the two branch polynomials according to the given amplitude and phase specifications. Then, the two branch polynomials are generated alternatively. This means that during one polynomial is generated to approximate the amplitude or the phase, the other polynomial is fixed. By iterating this alternative procedure, the two polynomials and consequently the amplitude and phase converge to their optimal response. Interpolation method combined with the Remez-exchange algorithm is employed for this purpose. Finally, the filter structure is synthesized and the wave digital realization is reached.
Keywords
wave digital filters; lossless lowpass lattice structures; simultaneous approximation
Main Subjects
Electrical Engineering, Computer Engineering and Electrical power and machines engineering.
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