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This book presents the use of lattice reduction in MIMO receiver design with respect to different aspects, including uncoded MIMO detection, MIMO iterative receivers, receivers in multiuser and multicell MIMO systems. The authors introduce the LLL algorithm in mathematical aspects and the principle of lattice reduction (LR) in MIMO receiver design. The book examines lattice reduction-based methods for symbol detection in uncoded MIMO systems. Also discusses lattice reduction-based detection in conjunction with list method.