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Journal Achievements of Modern Radioelectronics №10 for 2022 г.
Article in number:
Quaternion domain discrete Fourier transform of the pulses vector
Type of article: scientific article
DOI: https://doi.org/10.18127/j20700784-202210-05
UDC: 621.391.832
Authors:

V.M. Sovetov1

1 FGBU16 Central Research Institute of the Ministry of Defense of the Russian Federation (Moscow, Russia)

 

Abstract:

It is known that Multiple-Input Multiple-Output – MIMO technologies make it possible to increase the capacity of communication channels, since each information element is connected to other elements by means of channel matrix transmission coefficients and, therefore, will allow the use of multidimensional frequency and energy volume. In a multidimensional frequency volume, the spectrum of each information element of the signal affects the spectrum of other elements of the output vector, which complicates the spectral analysis of signals.

The aim of the paper is to present a method of discrete Fourier transformation of four-dimensional vector of pulses as the kernel of which quaternion is used in the matrix representation.

Pages: 46-57
For citation

Sovetov V.M. Quaternion domain discrete Fourier transform of the pulses vector. Achievements of modern radioelectronics. 2022. V. 76. № 10. P. 46–57. DOI: https://doi.org/10.18127/j20700784-202210-05 [in Russian]

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Date of receipt: 05.09.2022
Approved after review: 21.09.2022
Accepted for publication: 30.09.2022