2009
DOI: 10.1109/tcomm.2009.11.070404
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Generalized Channel Inversion Methods for Multiuser MIMO Systems

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Cited by 248 publications
(168 citation statements)
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“…We compute the complexity in terms of the required floating point operation (flops) [10]- [11]. The inversion of the n k × n k matrix D k and N r × N t matrix H using Gauss-Jordan elimination requires 4n 3 k /3 flops and 4N 3 t /3 flops, respectively.…”
Section: B Complexity Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…We compute the complexity in terms of the required floating point operation (flops) [10]- [11]. The inversion of the n k × n k matrix D k and N r × N t matrix H using Gauss-Jordan elimination requires 4n 3 k /3 flops and 4N 3 t /3 flops, respectively.…”
Section: B Complexity Analysismentioning
confidence: 99%
“…The inversion of the n k × n k matrix D k and N r × N t matrix H using Gauss-Jordan elimination requires 4n 3 k /3 flops and 4N 3 t /3 flops, respectively. According to [11], the search for the optimal perturbation vector within n dimensions requires O(n 6 ) operations. The operator O(·) defines the order of numerical operators and is used to analyze the efficiency of an algorithm, also known as time complexity.…”
Section: B Complexity Analysismentioning
confidence: 99%
“…Theorem 1: The precoding and decoding matrices of the SLNR precoding scheme [6], obtained by (4) and (5) respectively, are equivalent to those of RBD [4] and GMI-2 (GMI method 2) [5] schemes under the assumption of the same regularisation parameter and power normalisation procedure.…”
Section: A Equivalence Between Slnr Rbd and Gmi-2 Schemesmentioning
confidence: 99%
“…They are later extended to the case of multi-antenna receivers, e.g. ZF is developed into Block Diagonalisation (BD) [3] precoding, and MMSE is extended to Regularised Block Diagonalisation (RBD) [4] and Generalised MMSE Channel Inversion (GMI) [5] schemes. A precoding scheme based on the maximum signal-to-leakage-plus-noise ratio (SLNR) [6] is another attractive technique which provides an alternative approach to the signal-to-interference-plus-noise ratio (SINR) maximisation problem and supports systems with both singleantenna and multi-antenna receivers.…”
mentioning
confidence: 99%
“…Then, applying the transmit combining matrix obtained under an MMSE criterion to the orthonormal vector set, the proposed scheme is able to increase the signal-to-interference-plus-noise ratio (SINR) at each user's receiver. Consequently, the proposed scheme can be considered as an extension of the MMSE based block diagonalization (MMSE-BD) method in [9] and [10] …”
Section: ⅰ Introductionmentioning
confidence: 99%