Efficient Orthogonal Bicomplex Bilinear DSP Algorithm Design
The present paper describes the development of a new technique for designing orthogonal bicomplex Digital Signal Processing (DSP) algorithms. In contrast to those previously reported on, this novel method is of universal application while being unaffected by either the type or the order of the real...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Riga Technical University Press
2020-01-01
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| Series: | Electrical, Control and Communication Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/ecce-2020-0005 |
| _version_ | 1826907416121311232 |
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| author | Valkova-Jarvis Zlatka Mihaylova Dimitriya Stoynov Viktor |
| author_facet | Valkova-Jarvis Zlatka Mihaylova Dimitriya Stoynov Viktor |
| author_sort | Valkova-Jarvis Zlatka |
| collection | DOAJ |
| description | The present paper describes the development of a new technique for designing orthogonal bicomplex Digital Signal Processing (DSP) algorithms. In contrast to those previously reported on, this novel method is of universal application while being unaffected by either the type or the order of the real digital processing algorithm employed as a prototype. The proposed technique builds on Watanabe and Nishihara’s complex orthogonal transformation, and converts real or complex orthogonal transfer functions into bicomplex orthogonal ones. In this study, the new technique is applied to the design and testing of orthogonal bilinear bicomplex filters with a canonical number of elements, the main advantage of which is that they are several times lower in order. In this way, bilinear bicomplex orthogonal transfer functions are made up of real coefficient ones of the fourth-order, thereby reducing the order of the filter by a factor of four. The experiments demonstrate that the properties of the prototype filter are acquired by the bicomplex orthogonal filters, irrespective of the prototype being complex or real in nature. |
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| format | Article |
| id | doaj.art-abfc3a5e9953400db0a94e3e25ee7b2a |
| institution | Directory Open Access Journal |
| issn | 2255-9159 |
| language | English |
| last_indexed | 2025-02-17T09:06:15Z |
| publishDate | 2020-01-01 |
| publisher | Riga Technical University Press |
| record_format | Article |
| series | Electrical, Control and Communication Engineering |
| spelling | doaj.art-abfc3a5e9953400db0a94e3e25ee7b2a2025-01-02T16:30:38ZengRiga Technical University PressElectrical, Control and Communication Engineering2255-91592020-01-01161303610.2478/ecce-2020-0005ecce-2020-0005Efficient Orthogonal Bicomplex Bilinear DSP Algorithm DesignValkova-Jarvis Zlatka0Mihaylova Dimitriya1Stoynov Viktor2Associate Professor, Department of Communication Networks, Faculty of Telecommunications, Technical University of Sofia, Sofia, BulgariaEngineer, Technical University of Sofia, Sofia, BulgariaEngineer, Technical University of Sofia, Sofia, BulgariaThe present paper describes the development of a new technique for designing orthogonal bicomplex Digital Signal Processing (DSP) algorithms. In contrast to those previously reported on, this novel method is of universal application while being unaffected by either the type or the order of the real digital processing algorithm employed as a prototype. The proposed technique builds on Watanabe and Nishihara’s complex orthogonal transformation, and converts real or complex orthogonal transfer functions into bicomplex orthogonal ones. In this study, the new technique is applied to the design and testing of orthogonal bilinear bicomplex filters with a canonical number of elements, the main advantage of which is that they are several times lower in order. In this way, bilinear bicomplex orthogonal transfer functions are made up of real coefficient ones of the fourth-order, thereby reducing the order of the filter by a factor of four. The experiments demonstrate that the properties of the prototype filter are acquired by the bicomplex orthogonal filters, irrespective of the prototype being complex or real in nature.https://doi.org/10.2478/ecce-2020-0005bicomplex digital filtersorthogonal complex digital filtersensitivityword-length |
| spellingShingle | Valkova-Jarvis Zlatka Mihaylova Dimitriya Stoynov Viktor Efficient Orthogonal Bicomplex Bilinear DSP Algorithm Design Electrical, Control and Communication Engineering bicomplex digital filters orthogonal complex digital filter sensitivity word-length |
| title | Efficient Orthogonal Bicomplex Bilinear DSP Algorithm Design |
| title_full | Efficient Orthogonal Bicomplex Bilinear DSP Algorithm Design |
| title_fullStr | Efficient Orthogonal Bicomplex Bilinear DSP Algorithm Design |
| title_full_unstemmed | Efficient Orthogonal Bicomplex Bilinear DSP Algorithm Design |
| title_short | Efficient Orthogonal Bicomplex Bilinear DSP Algorithm Design |
| title_sort | efficient orthogonal bicomplex bilinear dsp algorithm design |
| topic | bicomplex digital filters orthogonal complex digital filter sensitivity word-length |
| url | https://doi.org/10.2478/ecce-2020-0005 |
| work_keys_str_mv | AT valkovajarviszlatka efficientorthogonalbicomplexbilineardspalgorithmdesign AT mihaylovadimitriya efficientorthogonalbicomplexbilineardspalgorithmdesign AT stoynovviktor efficientorthogonalbicomplexbilineardspalgorithmdesign |