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THE OPTIMAL AND STRAIGHTFORWARD DESIGN OF BANDPASS WAVE DIGITAL LATTICE FILTERS WITH ARBITRARY LOSS SPECIFICATIONS
Author(s) -
YASEEN MOHAMED
Publication year - 1997
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/(sici)1097-007x(199705/06)25:3<209::aid-cta964>3.0.co;2-j
Subject(s) - band pass filter , lattice (music) , lattice phase equaliser , digital filter , all pass filter , mathematics , polynomial , algorithm , amplitude , polynomial interpolation , filter (signal processing) , computer science , control theory (sociology) , mathematical analysis , adaptive filter , electronic engineering , high pass filter , low pass filter , linear interpolation , engineering , physics , acoustics , control (management) , quantum mechanics , artificial intelligence , computer vision
An efficient, simple and reliable design method is introduced for bandpass wave digital lattice filters exhibiting arbitrary loss responses. The main feature of this method is that the approximation is straightforward. Thus it is carried out without the need to apply frequency transformation techniques. The method relies on employing the relationship between the amplitude and the two branch phase functions of the filter. As a consequence, the whole problem reduces finally to constructing a polynomial specified by its phase. The generation of this polynomial is achieved through the use of interpolation recurrence formulae. By factorizing this polynomial into its Hurwitz and non‐Hurwitz parts, the two branch allpass functions are determined and realized. © 1997 by John Wiley & Sons, Ltd.