Subspace Estimation and Decomposition for Large Millimeter-Wave MIMO Systems

Channel estimation and precoding in hybrid analog-digital millimeter-wave (mmWave) MIMO systems is a fundamental problem that has yet to be addressed, before any of the promised gains can be harnessed. For that matter, we propose a method (based on the well-known Arnoldi iteration) exploiting channe...

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Bibliographic Details
Published in:IEEE journal of selected topics in signal processing Vol. 10; no. 3; pp. 528 - 542
Main Authors: Ghauch, Hadi, Taejoon Kim, Bengtsson, Mats, Skoglund, Mikael
Format: Journal Article
Language:English
Published: New York IEEE 01.04.2016
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Analog-digital conversion
Arnoldi iteration
Cascades
Channel estimation
Channels
Context
Decomposition
echo-based channel estimation
Estimation
hybrid architecture
hybrid precoding
Iterative algorithms
Millimeter wave MIMO systems
MIMO
MIMO (control systems)
Obstacles
Signal processing algorithms
sparse channel estimation
subspace decomposition
subspace estimation
Subspaces
subspace decomposition
hybrid architecture
hybrid precoding
sparse channel estimation
subspace estimation
Millimeter wave MIMO systems
echo-based channel estimation
Arnoldi iteration
ISSN:1932-4553, 1941-0484, 1941-0484
Online Access:Get full text
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Summary:Channel estimation and precoding in hybrid analog-digital millimeter-wave (mmWave) MIMO systems is a fundamental problem that has yet to be addressed, before any of the promised gains can be harnessed. For that matter, we propose a method (based on the well-known Arnoldi iteration) exploiting channel reciprocity in TDD systems and the sparsity of the channel's eigenmodes, to estimate the right (resp. left) singular subspaces of the channel, at the BS (resp. MS). We first describe the algorithm in the context of conventional MIMO systems, and derive bounds on the estimation error in the presence of distortions at both BS and MS. We later identify obstacles that hinder the application of such an algorithm to the hybrid analog-digital architecture, and address them individually. In view of fulfilling the constraints imposed by the hybrid analog-digital architecture, we further propose an iterative algorithm for subspace decomposition, whereby the above estimated subspaces, are approximated by a cascade of analog and digital precoder/combiner. Finally, we evaluate the performance of our scheme against the perfect CSI, fully digital case (i.e., an equivalent conventional MIMO system), and conclude that similar performance can be achieved, especially at medium-to-high SNR (where the performance gap is less than 5%), however, with a drastically lower number of RF chains (~4 to 8 times less).
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ISSN:1932-4553
1941-0484
1941-0484
DOI:10.1109/JSTSP.2016.2538178