Lattice coding for Rician fading channels from Hadamard rotations

Alex Karrila, Niko Väisänen, David Karpuk, Camilla Hollanti

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

1 Citation (Scopus)
143 Downloads (Pure)


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
Number of pages5
ISBN (Electronic)978-1-5090-4096-4
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


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


Dive into the research topics of 'Lattice coding for Rician fading channels from Hadamard rotations'. Together they form a unique fingerprint.

Cite this