Bulletin of the Polish Academy of Sciences. Technical Sciences | |
Quasi-analytic multidimensional signals | |
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
【 预 览 】
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