Title :
Lattice shell codes and constant energy codes
Author :
Anusarnsunthorn, Perapon
Author_Institution :
Dept. of Electr. Eng., Chiang Mai Univ., Chiang Mai, Thailand
Abstract :
It was found that minimum Hamming distance between code sequences can be increased using a generalised coset code combined with block code partitioning of a lattice. The performance of these codes improves as dimensionality increases. Simulation results show good performance for generalised coset codes in the Rayleigh fading channel under two important assumptions. First, the availability of CSI at the receiver and second, that infinite interleaving were assumed Without these assumptions the decoding algorithms would perform very poorly. In this paper we discuss another class of Euclidean space code called shell codes or constant energy codes. This type of code has the interesting property that the sum of energies over a fixed number of symbols, the dimensionality of the signal constellation, equates to a constant value. Using the constant energy of these types of code a different decoding algorithm can be applied This eliminates the use of a Euclidean distance metric, while requiring only partial CSI and no interleaving. There are two different types of multidimensional signal constellations that have constant energy. The first is derived from a lattice shell and the second are those derived from sequences of constant energy 2 dimensional constellations such as PSK.
Keywords :
Hamming codes; Rayleigh channels; decoding; sequences; CSI; Euclidean distance metric; Euclidean space code; Rayleigh fading channel; block code partitioning; code sequences; constant energy codes; decoding algorithms; generalised coset code; infinite interleaving; lattice shell codes; minimum Hamming distance; multidimensional signal constellations; Bit error rate; Fading; Phase shift keying;
Conference_Titel :
Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON), 2011 8th International Conference on
Conference_Location :
Khon Kaen
Print_ISBN :
978-1-4577-0425-3
DOI :
10.1109/ECTICON.2011.5947822