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Rotational invariance of two-level group codes over dihedral and dicyclic groups

  • Recent Results In Signal Processing And Communications
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Abstract

Phase-rotational invariance properties for two-level constructed, (using a binary code and a code over a residue class integer ring as component codes) Euclidean space codes (signal sets) in two and four dimensions are discussed. The label codes are group codes over dihedral and dicyclic groups respectively. A set of necessary and sufficient conditions on the component codes is obtained for the resulting signal sets to be rotationally invariant to several phase angles.

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Authors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology, 110 016, Hauz Khas, New Delhi, India

    Jyoti Bali

  2. Department of Electrical Communication Engineering, Indian Institute of Science, 560 012, Bangalore, India

    B Sundar Rajan

Authors
  1. Jyoti Bali
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  2. B Sundar Rajan
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Bali, J., Sundar Rajan, B. Rotational invariance of two-level group codes over dihedral and dicyclic groups. Sadhana 23, 45–56 (1998). https://doi.org/10.1007/BF02747622

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