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Multiuser and Multicell MIMO Systems: The Use of Lattice Reduction

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Low Complexity MIMO Receivers
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Abstract

In Chaps. 19, various point-to-point MIMO detectors and receivers have been well studied. In an actual cellular system, multiple users and multiple cells are usually employed to transmit and receive signals, simultaneously, which results in the multiuser and muticell systems. When multiple antennas are equipped at both transmitters and receivers, the resulting systems are regarded as the multiuser and muticell MIMO systems.

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Notes

  1. 1.

    \(\mathbf{{A}}\) is called unimodular if \(\text{ det }(\mathbf{{A}}) = \pm 1\).

  2. 2.

    Orthogonality deficiency.

  3. 3.

    When the LLL algorithm is used to perform the lattice basis reduction.

  4. 4.

    If \(\mathbf{{H}}_k\) is a random matrix (each element is an independent CSCG random variable), \(\text{ rank } (\mathbf{{P}}_2^\perp \mathbf{{H}}_{k,(1)}) = M - K_2\) with probability 1.

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Correspondence to Lin Bai .

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© 2014 Springer International Publishing Switzerland

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Bai, L., Choi, J., Yu, Q. (2014). Multiuser and Multicell MIMO Systems: The Use of Lattice Reduction. In: Low Complexity MIMO Receivers. Springer, Cham. https://doi.org/10.1007/978-3-319-04984-7_10

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  • DOI: https://doi.org/10.1007/978-3-319-04984-7_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04983-0

  • Online ISBN: 978-3-319-04984-7

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