Graduate School and Research Center in Digital Sciences

Error bounds for FDD massive MIMO channel covariance conversion with set-theoretic methods

Cavalcante, Renato Luis Garrido; Miretti, Lorenzo; Stanczak, Slawomir

GLOBECOM 2018, IEEE Global Communications Conference, 9-13 December 2018, Abu Dhabi, UAE

We derive novel bounds for the performance of algorithms that estimate the downlink covariance matrix from the uplink covariance matrix in frequency division duplex (FDD) massive MIMO systems. The focus is on algorithms that use estimates of the angular power spectrum as an intermediate step. Unlike previous results, the proposed bounds follow from simple arguments in possibly infinite dimensional Hilbert spaces, and they do not require strong assumptions on the array geometry or on the propagation model. Furthermore, they are suitable for the analysis of set-theoretic methods that can efficiently incorporate side information about the angular power spectrum. This last feature enables us to derive simple techniques to enhance settheoretic methods without any heuristic arguments. We show that, with coarse information about the support of the angular power spectrum, the performance of a simple algorithm that requires only a simple matrix-vector multiplication cannot be improved significantly in some practical scenarios. 

Document Doi Arxiv Bibtex

Title:Error bounds for FDD massive MIMO channel covariance conversion with set-theoretic methods
Type:Conference
Language:English
City:Abu Dhabi
Country:UNITED ARAB EMIRATES
Date:
Department:Communication systems
Eurecom ref:5535
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Bibtex: @inproceedings{EURECOM+5535, doi = {http://dx.doi.org/10.1109/GLOCOM.2018.8647609}, year = {2018}, title = {{E}rror bounds for {FDD} massive {MIMO} channel covariance conversion with set-theoretic methods}, author = {{C}avalcante, {R}enato {L}uis {G}arrido and {M}iretti, {L}orenzo and {S}tanczak, {S}lawomir}, booktitle = {{GLOBECOM} 2018, {IEEE} {G}lobal {C}ommunications {C}onference, 9-13 {D}ecember 2018, {A}bu {D}habi, {UAE}}, address = {{A}bu {D}habi, {UNITED} {ARAB} {EMIRATES}}, month = {12}, url = {http://www.eurecom.fr/publication/5535} }
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