<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Efficient Orthogonal Bicomplex Bilinear DSP Algorithm Design

Department of Communication Networks, Faculty of Telecommunications

Electrical, Control and Communication Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"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...

Efficient Orthogonal Bicomplex Bilinear DSP Algorithm Design

Publié en ligne: 13 oct. 2020

Pages: 30 - 36

DOI: https://doi.org/10.2478/ecce-2020-0005

Mots clés
Bicomplex digital filters, Orthogonal complex digital filter, Sensitivity, Word-length

© 2020 Zlatka Valkova-Jarvis et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Efficient Orthogonal Bicomplex Bilinear DSP Algorithm Design

Publié en ligne: 13 oct. 2020

Pages: 30 - 36

DOI: https://doi.org/10.2478/ecce-2020-0005

Mots clésBicomplex digital filters, Orthogonal complex digital filter, Sensitivity, Word-length

© 2020 Zlatka Valkova-Jarvis et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Bicomplex digital filters, Orthogonal complex digital filter, Sensitivity, Word-length