Banded correlation matrix model for massive MIMO systems

Gvozdarev, Aleksey S.; Artemova, Tatiana K.

doi:10.1109/ewdts.2017.8110132

Cited by 8 publications

(4 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The second assumption naturally arises in the case of large antenna arrays, when the distant antenna elements experience negligibly small mutual correlation (i.e. the correlation coefficient , i j r is small, see, for example, [8]), thus the correlation matrix can be bordered by zeroing its elements with large indices yielding a banded model [9]:…”

Section: B Assumption Discussionmentioning

confidence: 99%

Impact of System Correlation Matrix Bordering on the MU-MIMO Ergodic Sum-Rate Capacity in the Presence of the Multipath Fading Channel

Gvozdarev

Alishchuk

Kazakova

2021

2021 4th International Conference on Advanced Communication Technologies and Networking (CommNet)

View full text Add to dashboard Cite

The research analyzes the problem of capacity analysis of the multi-user massive multi-input multi-output systems with a banded correlation model. The presented study impacts the analytical statistical description with closed form expression of the ergodic sum-rate capacity of the system functioning in presence of multipath fading channel with complex Nakagami-m statistics of the complex transmission coefficients. Numerical verification of the derived expressions was performed and demonstrated excellent correspondence with simulation. The research demonstrated that the system correlation matrix (in case when exponential model is considered) can be bordered up to pentadiagonal structure without introducing any discrepancies in to the sum-rate capacity.

show abstract

Section: B Assumption Discussionmentioning

confidence: 99%

Impact of System Correlation Matrix Bordering on the MU-MIMO Ergodic Sum-Rate Capacity in the Presence of the Multipath Fading Channel

Gvozdarev

Alishchuk

Kazakova

2021

2021 4th International Conference on Advanced Communication Technologies and Networking (CommNet)

View full text Add to dashboard Cite

show abstract

“…To this extent, several important notes should be pointed out: The one-step correlation coefficient was chosen in such a way (i.e., not exceeding

) as to comply with the existing results for the bordered correlation matrices (see [ 55 ]), where the maximum possible

(that yielded physically meaningful results, i.e., positive-definite system correlation matrices) was

(see [ 75 ]). The

was chosen in such a way as to cover the case when all the users are active (maximum number of active eigenstreams).…”

Section: Simulation and Resultsmentioning

confidence: 99%

“…The one-step correlation coefficient was chosen in such a way (i.e., not exceeding

) as to comply with the existing results for the bordered correlation matrices (see [ 55 ]), where the maximum possible

(that yielded physically meaningful results, i.e., positive-definite system correlation matrices) was

(see [ 75 ]).…”

Section: Simulation and Resultsmentioning

confidence: 99%

Closed-Form Capacity Reliability Analysis of Multiuser MIMO System in the Presence of Generalized Multipath Fading

Gvozdarev

Alishchuk

Kazakova

2023

Sensors

View full text Add to dashboard Cite

This research studies the problem of a joint capacity/capacity reliability analysis of the multiuser multi-input multioutput (MIMO) system functioning in the presence of generalized multipath fading. The study presents the derived results of the closed-form analytical statistical description of the ergodic sum-rate capacity, the capacity reliability and the capacity’s higher-order statistics in the case of complex Nakagami-m distributed channel transmission coefficients. A numerical verification of the derived expressions was performed, and it demonstrated excellent correspondence with the simulation. The system performance was evaluated with the help of a numerical analysis of the joint first- and second-order statistics description, depending on the channel and system parameters. The results demonstrated several peculiarities, e.g., the existence of a specific extremum of the capacity reliability for small-sized MIMO systems, its opposite behavior (in terms of the varying number of antenna elements) for heavy and light fading, and the existing asymptotic regions of the system and the channel parameters.

show abstract

“…3) the decrease of the cross-correlation properties is much greater (for example by 2 orders of magnitude for a 10-element array) and cannot be controlled by the exponential model. Hence it can be argued whether the impact of distant elements is small enough to be excluded from further evaluations thus resulting in banded correlation matrix structures [32]. As it was demonstrated earlier in [33] this can possibly yield further improvement in system performance.…”

Section: Correlation Matrices Analysismentioning

confidence: 92%

Mutual antenna coupling influence on the channel correlation matrix for linear antenna arrays

2021

View full text Add to dashboard Cite

The paper presents the results of the research of electromagnetic mutual coupling impact on the structure of the correlation matrices in multiantenna communication systems. Classical correlation structures employed in most of the up-to-date communication systems descriptions and designs usually assume unit autocorrelation and exponentially decreasing cross-correlation of antenna elements in the receiving/transmitting array. At the same time numerous studies had shown that these assumptions may not hold under certain conditions. The performed research relates the correlation effects with the imbalances of the array impedance matrix terms and studies the impact of antenna elements mutual electromagnetic interaction upon the diagonal (autocorrelation) and off-diagonal (cross-correlation) terms of correlation matrix, depending of the geometry of the array: number of elements and their spatial separation. To exemplify quantitative results the analysis was carried out for the 5G NR #78 band, being one of the most wideband subchannels in Under-6 GHz regime for 5G systems. The obtained results also justified the applicability of the banded correlation matrix model for wireless communications.

show abstract

Banded correlation matrix model for massive MIMO systems

Cited by 8 publications

References 13 publications

Impact of System Correlation Matrix Bordering on the MU-MIMO Ergodic Sum-Rate Capacity in the Presence of the Multipath Fading Channel

Impact of System Correlation Matrix Bordering on the MU-MIMO Ergodic Sum-Rate Capacity in the Presence of the Multipath Fading Channel

Closed-Form Capacity Reliability Analysis of Multiuser MIMO System in the Presence of Generalized Multipath Fading

Mutual antenna coupling influence on the channel correlation matrix for linear antenna arrays

Contact Info

Product

Resources

About