Synthesis of arbitrary digital transfer functions using allpass-based structures derived via LBR two-pair extraction procedure |
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Authors: | P. P. Vaidyanathan S. K. Mitra |
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Affiliation: | (1) Department of Electrical Engineering, California Institute of Technology, 91125 Pasadena, California, USA;(2) Department of Electrical and Computer Engineering, University of California, 93106 Santa Barbara, California, USA |
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Abstract: | The implementation of a digital filter transfer function with all transmission zeros on the unit circle is developed via the synthesis of an appropriate allpass function. The synthesis procedure is based on the LBR-extraction approach. The resulting structure is in the form of a doubly terminated cascade of lossless (LBR) two-pairs, with each two-pair realizing a single real or a pair of complex transmission zeros. The Concepts of complete and partial 1 removals, and 1 shifting are introduced and utilized during the synthesis process. The resulting structures have several properties in common with the Gray and Markel lattice filters, but do not require tap coefficients for numerator realization. The building blocks used in this paper are similar to those in certain wave-digital filters and orthogonal filters.Work supported in part by NSF Grant Number ECS 82-18310 and in part by NSF Grant Number ECS-8508017. |
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