scholarly journals Capacity Bounds for Dense Massive MIMO in a Line-of-Sight Propagation Environment

2019 ◽  
Author(s):  
Felipe Augusto Pereira de Figueiredo ◽  
Claudio Ferreira Dias ◽  
Eduardo Rodrigues de Lima ◽  
Gustavo Fraidenraich
Keyword(s):  
Antenna Arrays ◽  
Massive Mimo ◽  
Large Scale ◽  
Wireless Systems ◽  
Singular Values ◽  
Line Of Sight ◽  
Sum Capacity ◽  
Line Of Sight Propagation ◽  
Massive Number ◽  
Analytical Expressions

<div>The use of large-scale antenna arrays grants considerable benefits in energy and spectral efficiency to wireless systems due to spatial resolution and array gain techniques. By assuming a dominant line-of-sight environment in a massive MIMO scenario, we derive analytical expressions for the sum-capacity.</div><div>%</div><div>Then, we show that convenient simplifications on the sum-capacity expressions are possible when working at low and high SNR regimes.</div><div>%</div><div>Furthermore, in the case of a high SNR regime, it is demonstrated that the Gamma PDF can approximate the PDF of the instantaneous channel sum-capacity as the number of BS antennas grows. A second important demonstration presented in this work is that a Gamma PDF can also be used to approximate the PDF of the summation of the channel's singular values as the number of devices increases. Finally, it is important to highlight that the presented framework is useful for a massive number of Internet of Things devices as we show that the transmit power of each device can be made inversely proportional to the number of BS antennas.</div>

scholarly journals Capacity Bounds for Dense Massive MIMO in a Line-of-Sight Propagation Environment

2019 ◽  
Author(s):  
Felipe Augusto Pereira de Figueiredo ◽  
Claudio Ferreira Dias ◽  
Eduardo Rodrigues de Lima ◽  
Gustavo Fraidenraich
Keyword(s):  
Antenna Arrays ◽  
Massive Mimo ◽  
Large Scale ◽  
Wireless Systems ◽  
Singular Values ◽  
Line Of Sight ◽  
Sum Capacity ◽  
Line Of Sight Propagation ◽  
Massive Number ◽  
Analytical Expressions

<div>The use of large-scale antenna arrays grants considerable benefits in energy and spectral efficiency to wireless systems due to spatial resolution and array gain techniques. By assuming a dominant line-of-sight environment in a massive MIMO scenario, we derive analytical expressions for the sum-capacity.</div><div>%</div><div>Then, we show that convenient simplifications on the sum-capacity expressions are possible when working at low and high SNR regimes.</div><div>%</div><div>Furthermore, in the case of a high SNR regime, it is demonstrated that the Gamma PDF can approximate the PDF of the instantaneous channel sum-capacity as the number of BS antennas grows. A second important demonstration presented in this work is that a Gamma PDF can also be used to approximate the PDF of the summation of the channel's singular values as the number of devices increases. Finally, it is important to highlight that the presented framework is useful for a massive number of Internet of Things devices as we show that the transmit power of each device can be made inversely proportional to the number of BS antennas.</div>

On Massive MIMO for Low Power Wide Area Networks

2019 ◽  
Author(s):  
Felipe Augusto Pereira de Figueiredo ◽  
Claudio Ferreira Dias ◽  
ingrid moerman ◽  
Eduardo Rodrigues de Lima ◽  
Gustavo Fraidenraich
Keyword(s):  
Antenna Arrays ◽  
Massive Mimo ◽  
Large Scale ◽  
Wireless Systems ◽  
Singular Values ◽  
Wide Area Networks ◽  
Line Of Sight ◽  
Sum Capacity ◽  
Analytical Expressions ◽  
Array Gain

The use of large-scale antenna arrays grants considerable benefits in energy and spectral efficiency to wireless systems due to spatial resolution and array gain techniques. By assuming a dominant line-of-sight environment in a massive MIMO scenario with favorable propagation, we derive analytical expressions for the sum-capacity. % Then, we show that convenient simplifications on the sum-capacity expressions are possible when working at low and high SNR regimes. % Furthermore, in the case of a high SNR regime, it is demonstrated that the Gamma PDF can approximate the PDF of the instantaneous channel sum-capacity as the number of BS antennas grows. A second important demonstration presented in this work is that a Gamma PDF can also be used to approximate the PDF of the summation of the channel's singular values as the number of devices increases. Finally, it is important to highlight that the presented framework is useful for LPWAN's as we show that the transmit power of each device can be made inversely proportional to the number of BS antennas.

scholarly journals Experimental Results of Novel DoA Estimation Algorithms for Compact Reconfigurable Antennas

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Henna Paaso ◽  
Aki Hakkarainen ◽  
Nikhil Gulati ◽  
Damiano Patron ◽  
Kapil R. Dandekar ◽  
...  
Keyword(s):  
Antenna Arrays ◽  
Wireless Systems ◽  
Doa Estimation ◽  
Reconfigurable Antennas ◽  
Line Of Sight ◽  
Next Generation ◽  
Estimation Algorithms ◽  
Left Handed ◽  
Potential Use ◽  
Good Agreement

Reconfigurable antenna systems have gained much attention for potential use in the next generation wireless systems. However, conventional direction-of-arrival (DoA) estimation algorithms for antenna arrays cannot be used directly in reconfigurable antennas due to different design of the antennas. In this paper, we present an adjacent pattern power ratio (APPR) algorithm for two-port composite right/left-handed (CRLH) reconfigurable leaky-wave antennas (LWAs). Additionally, we compare the performances of the APPR algorithm and LWA-based MUSIC algorithms. We study how the computational complexity and the performance of the algorithms depend on number of selected radiation patterns. In addition, we evaluate the performance of the APPR and MUSIC algorithms with numerical simulations as well as with real world indoor measurements having both line-of-sight and non-line-of-sight components. Our performance evaluations show that the DoA estimates are in a considerably good agreement with the real DoAs, especially with the APPR algorithm. In summary, the APPR and MUSIC algorithms for DoA estimation along with the planar and compact LWA layout can be a valuable solution to enhance the performance of the wireless communication in the next generation systems.

Sum-Capacity of Massive MIMO Systems Using Vandermonde Matrices

2020 ◽  
Author(s):  
Claudio Ferreira Dias ◽  
Michelle S. P. Facina ◽  
Felipe Augusto Pereira de Figueiredo ◽  
Eduardo Rodrigues de Lima ◽  
Gustavo Fraidenraich
Keyword(s):  
Mimo Systems ◽  
Mimo System ◽  
Numerical Results ◽  
Line Of Sight ◽  
Sum Capacity ◽  
Vandermonde Matrices ◽  
Multiple Input ◽  
The Mean ◽  
Analytical Expressions ◽  
Taylor’S Series

In this paper, we use a series expansion to calculate the sum-capacity of a massive Multiple-Input MultipleOutput (MIMO) system under propagation environment described by a dominant line-of-sight. The sum-capacity is written as Taylor’s series where each term is a function of the mean trace of k-th power of the channel matrix W. We analytically derive the mean trace of first, second, third, and fourth moments of W. Although the series is infinite, our numerical results show that only a few terms can tightly approximate the exact sum capacity. Numerical results corroborate our analytical expressions.

scholarly journals Sum-Capacity of Massive MIMO Systems Using Vandermonde Matrices

2020 ◽  
Author(s):  
Claudio Ferreira Dias ◽  
Michelle S. P. Facina ◽  
Felipe Augusto Pereira de Figueiredo ◽  
Eduardo Rodrigues de Lima ◽  
Gustavo Fraidenraich
Keyword(s):  
Mimo Systems ◽  
Mimo System ◽  
Numerical Results ◽  
Line Of Sight ◽  
Sum Capacity ◽  
Vandermonde Matrices ◽  
Multiple Input ◽  
The Mean ◽  
Analytical Expressions ◽  
Taylor’S Series

In this paper, we use a series expansion to calculate the sum-capacity of a massive Multiple-Input MultipleOutput (MIMO) system under propagation environment described by a dominant line-of-sight. The sum-capacity is written as Taylor’s series where each term is a function of the mean trace of k-th power of the channel matrix W. We analytically derive the mean trace of first, second, third, and fourth moments of W. Although the series is infinite, our numerical results show that only a few terms can tightly approximate the exact sum capacity. Numerical results corroborate our analytical expressions.

CALCULATION OF THE DEPENDENCE OF THE DISTANCE TO THE LOCATED OBJECT FROM THE CORNER POSITION OF THE VEHICLE LINE

2018 ◽  
pp. 14-18
Author(s):  
V. V. Artyushenko ◽  
A. V. Nikulin
Keyword(s):  
Real Time ◽  
Statistical Physics ◽  
Angular Position ◽  
Three Dimensional ◽  
Line Of Sight ◽  
Two Dimensional ◽  
Radar Station ◽  
Flight Mode ◽  
Vector Algebra ◽  
Analytical Expressions

To simulate echoes from the earth’s surface in the low flight mode, it is necessary to reproduce reliably the delayed reflected sounding signal of the radar in real time. For this, it is necessary to be able to calculate accurately and quickly the dependence of the distance to the object being measured from the angular position of the line of sight of the radar station. Obviously, the simplest expressions for calculating the range can be obtained for a segment or a plane. In the text of the article, analytical expressions for the calculation of range for two-dimensional and three-dimensional cases are obtained. Methods of statistical physics, vector algebra, and the theory of the radar of extended objects were used. Since the calculation of the dependence of the range of the object to the target from the angular position of the line of sight is carried out on the analytical expressions found in the paper, the result obtained is accurate, and due to the relative simplicity of the expressions obtained, the calculation does not require much time.

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