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mmWave SVD-based beamformed MIMO communication systems
Proceedings of the 7th IEEE conference on Consumer communications and networking (CCNC’2010). 2010. P. 834–838.
Sergey Tiraspolsky, Jeon B., Kim J., Rubtsov A., Flaksman A., Ermolayev V.
This paper provides concept of data transmission protocol for millimeter wave (mmWave) wireless systems operating in Non-Line-of-Sight environment. This concept is designed to provide an effective and practical functioning of Multiple-Input Multiple-Output (MIMO) transmission mode that exploits combination of Singular Value Decomposition (SVD) of channel matrix and non-adaptive beamforming. The proposed protocol reduces complexity of implementation of the beamformed MIMO system with SVD by transmitting the special signals, called by MIMO postambles. Using these MIMO postambles allows stations to obtain the channel state information and operate in SVD mode without any feedback and simplifies MIMO system architecture significantly.
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Shilov A. L., Elesin L., Kravtsov M. et al., Nature Communications 2026 Vol. 17 No. 1 Article 9734
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Springer, 2026.
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Added: September 19, 2026
Springer, Cham, 2026.
computer vision ...
Added: September 19, 2026
Springer, Cham, 2026.
Added: September 19, 2026
FRUCT Oy, 2024.
Added: September 19, 2026
Tiraspolsky S.A., Ermolayev V. T., Flaksman A. G. et al., Radioelectronics and Communications Systems 2011 Vol. 54 P. 219–226
A concept of using MIMO technology in millimeter range wireless communications systems with orthogonal frequency division multiplexing is considered. The concept is based on dividing transmitting and receiving multi-element antenna arrays into separate sub-arrays with analogue radiation pattern shaping and on using two most powerful space sub-channels for information transmission. Sequence and structure of transmitted ...
Added: February 10, 2026
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This paper presents an analysis of a single planar resonant slot patch antenna model for the LowBand range (3348.5 MHz). The results of computer simulations of its electrodynamic characteristics were obtained, including radiation patterns, complex reflection coefficient (S11), and voltage standing wave ratio (VSWR) as functions of frequency. The influence of dimensional variations of such ...
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Wang G., Applied Mathematics Letters 2025 Vol. 163 Article 109436
With the modeling of the biquaternion algebra in multidimensional signal processing, it has become possible to address issues such as data separation, denoising, and anomaly detection. This paper investigates the singular value decomposition of biquaternion matrices (SVDBQ), establishing an SVDBQ theorem that ensures unitary matrices formed by the left and right singular vectors, while also introducing a new form for singular ...
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Dmitry Shirokov, Mathematical Methods in the Applied Sciences 2025 Vol. 48 No. 11 P. 11095–11102
We introduce the notion of rank of multivector in Clifford geometric algebras of arbitrary dimension without using the corresponding matrix representations and using only geometric algebra operations. We use the concepts of characteristic polynomial in geometric algebras and the method of SVD. The results can be used in various applications of geometric algebras in computer ...
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Shirokov D., Advances in Applied Clifford Algebras 2024 Vol. 34 Article 23
In this paper, we present a natural implementation of singular value decomposition (SVD) and polar decomposition of an arbitrary multivector in nondegenerate real and complexified Clifford geometric algebras of arbitrary dimension and signature. The new theorems involve only operations in geometric algebras and do not involve matrix operations. We naturally define these and other related ...
Added: August 23, 2024
Shirokov D., , in: Advances in Computer Graphics: 40th Computer Graphics International Conference, CGI 2023, Shanghai, China, August 28 – September 1, 2023, Proceedings, Part IV* 4. Vol. 14498.: Springer, 2024. P. 391–401.
This paper is a brief note on the natural implementation of singular value decomposition (SVD) and polar decomposition of an arbitrary multivector in nondegenerate real (Clifford) geometric algebras of arbitrary dimension and signature. We naturally define these and other related structures (operation of Hermitian conjugation, Euclidean space, and Lie groups) in geometric algebras. The results ...
Added: December 25, 2023
Bobrov E., Kropotov D., Troshin S. et al., Optimization Methods and Software 2022 P. 1–16
The paper studies the multi-user precoding problem as a non-convex optimization problem for wireless multiple inputs and multiple outputs (MIMO) systems. In our work, we approximate the target Spectral Efficiency function with a novel computationally simpler function. Then, we reduce the precoding problem to an unconstrained optimization task using a special differential projection method and ...
Added: October 26, 2022
Shirokov D., Journal of Computational and Applied Mathematics 2021 Vol. 391 Article 113450
We present a new formulation of the hyperbolic singular value decomposition (HSVD) for an arbitrary complex (or real) matrix without hyperexchange matrices and redundant invariant parameters. In our formulation, we use only the concept of pseudo-unitary (or pseudo-orthogonal) matrices. We show that computing the HSVD in the general case is reduced to calculation of eigenvalues, ...
Added: February 12, 2021
Zobnin A., Elistratova E., , in: Proceedings of the 4th Workshop on Representation Learning for NLP (RepL4NLP-2019)Issue W19-43.: Association for Computational Linguistics, 2019. P. 244–249.
Most word embedding algorithms such as word2vec or fastText construct two sort of vectors: for words and for contexts. Naive use of vectors of only one sort leads to poor results. We suggest using indefinite inner product in skip-gram negative sampling algorithm. This allows us to use only one sort of vectors without loss of ...
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Galinina O., Pyattaev A., Johnsson K. et al., IEEE Journal on Selected Areas in Communications 2016 Vol. 34 No. 4 P. 923–937
The emerging fifth-generation (5G) wireless technology will need to harness the massively unused millimeter-wave (mmWave) spectrum to meet the projected acceleration in mobile traffic demand. Today, the available range of mmWave-based solutions is already represented by IEEE 802.11ad (WiGig), IEEE 802.15.3c, WirelessHD, and ECMA-387 standards, with more to come in the following years. As the ...
Added: March 14, 2018
Zobnin A., , in: Analysis of Images, Social Networks and Texts. 6th International Conference, 2017, Revised Selected PapersVol. 10716.: Cham: Springer, 2018. Ch. 11 P. 116–128.
Consider a continuous word embedding model. Usually, the cosines between word vectors are used as a measure of similarity of words. These cosines do not change under orthogonal transformations of the embedding space. We demonstrate that, using some canonical orthogonal transformations from SVD, it is possible both to increase the meaning of some components and ...
Added: November 26, 2017
Alexei Ossadtchi, Pronko P. K., Baillet S. et al., Frontiers in Neuroinformatics 2014 Vol. 7 No. January P. Article 53
Spatial component analysis is often used to explore multidimensional time series data whose sources cannot be measured directly. Several methods may be used to decompose the data into a set of spatial components with temporal loadings. Component selection is of crucial importance, and should be supported by objective criteria. In some applications, the use of ...
Added: January 29, 2014
Ossadtchi A., Pronko P. K., Baillet S. et al., Frontiers in Neuroinformatics 2014 Vol. 7 No. 53 P. 1–11
Spatial component analysis is often used to explore multidimensional time series data whose sources cannot be measured directly. Several methods may be used to decompose the data into a set of spatial components with temporal loadings. Component selection is of crucial importance, and should be supported by objective criteria. In some applications, the use of ...
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In this study, new highly parallel algorithm of two-sided Jacobi 8-D transformation is suggested. It is oriented on VLSI-implementation of special processor array. This array is built using 8-D CORDIC algorithm for quaternion valued matrix singular value decomposition. Accuracy analysis and simulation results are added. Such array can be utilized to speed up the Jacobi ...
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