Fully Quaternion-Valued Adaptive Beamforming Based on Crossed-Dipole Arrays

Lan, Xiang; Liu, Wei

doi:10.3390/electronics6020034

Cited by 10 publications

(2 citation statements)

References 28 publications

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“…These methods have the characteristics of simple programming and high data processing efficiency. The hypercomplex number has now been greatly developed and widely used in multi-channel information processing [44,45] . Hypercomplex numbers are also increasingly used in artificial intelligence, such as signal processing and deep learning [46,47] .…”

Section: Clifford Algebra As Hypercomplex Numbermentioning

confidence: 99%

Miraculous Hypercomplex Numbers

2023

Math. Syst. Sci.

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<p>The development of number system has gone through a long and difficult process, and many landmark concepts and theorems were put forward. By briefly reviewing the development of hypercomplex systems, the constructing rules of the unit elements are discussed. As a vector space defining multiplication, division and norm of vectors, hypercomplex numbers synthesize the advantages of mathematical tools such as algebra, geometry and analysis, faithfully describe the intrinsic properties of space-time and physical systems, and provide a unified language and a powerful tool for basic theories and engineering technology. In the application of hypercomplex numbers, the group-like properties of the basis vectors are the most important, and the zero factor has little influence on the algebraic operation. The multiplication table of the basis vectors fully describes the intrinsic properties of the hypercomplex system, and the matrix A constructed from the multiplication table satisfies the structure equation A<sup>2</sup> = nA, and thus obtains a set of faithful matrix representations of the basis elements. Th/is paper also uses typical examples to show the simple and clear concepts and wide application of hypercomplex numbers. Therefore, hypercomplex numbers are worth of learning in basic education and appling in scientific research and engineering technology</p>

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Section: Clifford Algebra As Hypercomplex Numbermentioning

confidence: 99%

Miraculous Hypercomplex Numbers

2023

Math. Syst. Sci.

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“…In this paper, based on this idea, we proposed a DM design using crossed-dipole arrays, which can send two separate signals (S 1 and S 2 ) with orthogonal polarisation states to the same direction simultaneously. To receive and separate the two orthogonally polarised signals, at the receiver side, a crossed-dipole antenna or array is needed, similar to the transmitter side [21]. However, the polarisation directions of the antennas at the receiver side do not need to match those of the transmitted signals, as cross-interference due to a mismatch can be solved easily using some standard signal processing techniques [16].…”

Section: Introductionmentioning

confidence: 99%

Directional Modulation Design Based on Crossed-Dipole Arrays for Two Signals With Orthogonal Polarisations

Zhang

Liu

Lan

2018

12th European Conference on Antennas and Propagation (EuCAP 2018)

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Directional modulation (DM) is a physical layer security technique based on antenna arrays and so far the polarisation information has not been considered in its designs. To increase the channel capacity, we consider exploiting the polarisation information and send two different signals simultaneously at the same direction, same frequency, but with different polarisations. These two signals can also be considered as one composite signal using the four dimensional (4-D) modulation scheme across the two polarisation diversity channels. In this paper, based on cross-dipole arrays, we formulate the design to find a set of common weight coefficients to achieve directional modulation for such a composite signal and examples are provided to verify the effectiveness of the proposed method.

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Orthogonally Polarized Dual-Channel Directional Modulation Based on Crossed-Dipole Arrays

2019

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Directional modulation (DM) as a physical layer security technique has been studied based on the traditional antenna arrays; however, in most of the designs, only one signal is transmitted at one carrier frequency. In this paper, signal polarization information is exploited, and a new DM scheme is designed, which can transmit a pair of orthogonally polarized signals to the same direction at the same frequency simultaneously, resulting in doubled channel capacity. These two signals can also be considered as one composite signal using a four-dimensional (4-D) modulation scheme across the two polarization diversity channels. Moreover, compressive sensing (CS)-based formulations for designing sparse crossed-dipole arrays in this context are proposed to exploit the degrees of freedom in the spatial domain for further improved performance, as demonstrated by various design examples.INDEX TERMS Crossed-dipole array, directional modulation, orthogonal polarization.

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Fully Quaternion-Valued Adaptive Beamforming Based on Crossed-Dipole Arrays

Cited by 10 publications

References 28 publications

Miraculous Hypercomplex Numbers

Miraculous Hypercomplex Numbers

Directional Modulation Design Based on Crossed-Dipole Arrays for Two Signals With Orthogonal Polarisations

Orthogonally Polarized Dual-Channel Directional Modulation Based on Crossed-Dipole Arrays

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