Quasi-analytic multidimensional signals

Bulletin of the Polish Academy of Sciences. Technical Sciences

K.M. SnopekCorresponding authorInstitute of Radioelectronics, Warsaw University of Technology, 15/19 Nowowiejska St., 00-665 Warsaw, PolandEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹  S.L. HahnInstitute of Radioelectronics, Warsaw University of Technology, 15/19 Nowowiejska St., 00-665 Warsaw, PolandOther articles by this author:De Gruyter OnlineGoogle Scholar¹ 

[1] Institute of Radioelectronics, Warsaw University of Technology, 15/19 Nowowiejska St., 00-665 Warsaw, Poland

关键词: Keywords : analytic complex and hypercomplex signals;    polar representation;    modulation techniques;    lower rank signals;   

DOI  :  10.2478/bpasts-2013-0109

学科分类：工程和技术（综合）

来源: Polska Akademia Nauk * Centrum Upowszechniania Nauki / Polish Academy of Sciences, Center for the Advancement of Science

【 摘 要 】

In a recent paper, the authors have presented the unified theory of n-dimensional (n-D) complex and hypercomplex analytic signals with single-orthant spectra. This paper describes a specific form of these signals called quasi-analytic. A quasi-analytic signal is a product of a n-D low-pass (base-band) real (in general non-separable) signal and a n-D complex or hypercomplex carrier. By a suitable choice of the carrier frequency, the spectrum of a low-pass signal is shifted into a single orthant of the Fourier frequency space with a negligible leakage into other orthants. A measure of this leakage is defined. Properties of quasi-analytic signals are studied. Problems of polar representation of quasi-analytic signals and of its lower rank representation are discussed.

【 授权许可】

Unknown