Autors: Valkova-Jarvis, Z. V., Poulkov, V. K., Stoynov, V. R., Mihaylova, D. A., Iliev, G. L.
Title: A Method for the Design of Bicomplex Orthogonal DSP Algorithms for Applications in Intelligent Radio Access Networks
Keywords: bicomplex numbers; DSP algorithms; orthogonal digital system

Abstract: In this paper, a new method for designing orthogonal bicomplex digital signal processing (DSP) algorithms is developed. In contrast to those previously reported on, the method proposed is universal, since it is not affected by the order or the type of the real digital processing algorithm employed as a prototype. The method is based on a transformation starting with either real or complex orthogonal DSP algorithms represented in the z-domain, and transforming them into orthogonal bicomplex algorithms. The proposed new method is applied in the design of bilinear orthogonal bicomplex DSP systems with a canonical number of elements, the main advantage of which is that the order of the digital system is reduced by a factor of four. As well as being canonical, the orthogonal bicomplex digital systems are also symmetrical structures, as a result of which they offer parallelism and subsequent unification.

References

    Issue

    SYMMETRY, Vol. 14, Issue 3, vol. 14, issue 3, pp. 1-17, 2022, Switzerland, MDPI (Basel, Switzerland), DOI: 10.2478/ecce-2020-0005, ISSN: 2255-9140, eISSN: 2255-9159

    Цитирания (Citation/s):
    1. Birsen Sagır, Nilay Degirmen, Cenap Duyar, Bicomplex Matrix Transformations Between c0 and c in Bicomplex Setting, (2023), UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, Vol. 85, Issue: 4, pp. 115-128, December 2023, ISSN: 1223-7027 - 2023 - в издания, индексирани в Scopus или Web of Science

    Вид: статия в списание, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus и Web of Science