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The issue of channel estimation is investigated for the UHF MIMO-RFID systems over pinhole channel. A training sequences aided Linear Minimum Mean Square Error (LMMSE) channel estimation is proposed for the whole pinhole channel at the reader. Based on the Mean Square Error (MSE) criterion, the MSE bound and the optimal training scheme with this bound are derived. By exploiting the optimal training scheme, an optimal low-rank LMMSE channel estimator is proposed to reduce the computational complexity via Singular Value Decomposition (SVD).
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