Subspace Tracking and Least Squares Approaches to Channel Estimation in Millimeter Wave Multiuser MIMO
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The problem of MIMO channel estimation at millimeter wave (mmWave) frequencies, both in a single-user and in a multi-user setting, is tackled in this paper. Using a subspace approach, we develop a protocol enabling the estimation of the right (resp. left) singular vectors at the transmitter (resp. receiver) side; then, we adapt the projection approximation subspace tracking with deflation (PASTd) and the orthogonal Oja (OOJA) algorithms to our framework and obtain two channel estimation algorithms. We also present an alternative algorithm based on the least squares (LS) approach. The hybrid analog/digital nature of the beamformer is also explicitly taken into account at the algorithm design stage. Our results clearly show that the proposed algorithms are very effective in estimating the principal directions of the MIMO channel matrix, and that they compare favorably, in terms of the performance-complexity trade-off, with respect to several competing alternatives.
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