Lattice coding for Rician fading channels from Hadamard rotations

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In this paper, we study lattice coding for Rician fading wireless channels. This is motivated in particular by preliminary studies suggesting the Rician fading model for millimeter-wavelength wireless communications. We restrict to lattice codes arising from rotations of Zn, and to a single-input single-output (SISO) channel. We observe that several lattice design criteria suggest the optimality of Hadamard rotations. For instance, we prove that Hadamard rotations maximize the diamond-packing density among all rotated Zn lattices. Finally, we provide simulations to show that Hadamard rotations outperform optimal algebraic rotations and cross-packing lattices in the Rician channel.


Original languageEnglish
Title of host publication2017 IEEE International Symposium on Information Theory, ISIT 2017
Publication statusPublished - 9 Aug 2017
MoE publication typeA4 Article in a conference publication
EventIEEE International Symposium on Information Theory - Eurogress Aachen, Aachen, Germany
Duration: 25 Jun 201730 Jun 2017


ConferenceIEEE International Symposium on Information Theory
Abbreviated titleISIT
Internet address

    Research areas

  • algebraic rotations, diamond packings, Hadamard rotations, lattice code design, orthogonal lattices, reliability, Rician fading, single-input single-output (SISO) channels

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