Title :
Random Quantization Bounds for Lattices over q -ary Linear Codes
Author :
Yurkov, K.V. ; Kudryashov, B.D.
Author_Institution :
St.-Petersburg Univ. of Aerosp. Instrum., St. Petersburg
Abstract :
"This paper is eligible for the student paper award". The efficiency of the lattice-based quantization depends on a lattice parameter called the normalized second moment of Voronoi region. It is shown that there exist lattices over q-ary linear codes with normalized second moment value close to the theoretical limits. Particularly, the coding gain achievable by lattice over ternary codes is equal to 1.5321 dB which is less than 0.01 dB away from the coding gain provided by optimum non-structured vector quantizers.
Keywords :
linear codes; vector quantisation; coding gain; lattice-based quantization; nonstructured vector quantizers; normalized second moment of Voronoi region; normalized second moment value; q-ary linear codes; random quantization bounds; Aerospace electronics; Block codes; Information systems; Lattices; Linear code; Multidimensional systems; Quantization; Rate-distortion; Shape; Vectors;
Conference_Titel :
Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Conference_Location :
Nice
Print_ISBN :
978-1-4244-1397-3
DOI :
10.1109/ISIT.2007.4557232
