Title :
A matrix form of the Brunn-Minkowski inequality and geometric rates
Author :
Zamir, Ram ; Feder, Meir
Author_Institution :
Cornell Univ., Ithaca, NY, USA
Abstract :
A matrix form of the Brunn-Minkowski inequality is derived, which may be applied in calculating the uncoded bit rate of lattice quantization and modulation schemes
Keywords :
channel capacity; information theory; matrix algebra; modulation coding; quantisation (signal); Brunn-Minkowski inequality; geometric rates; lattice quantization; matrix form; modulation schemes; uncoded bit rate; Amplitude modulation; Bit rate; Constellation diagram; Convolution; Lattices; Linear matrix inequalities; Modulation coding; Quantization; Shape; Vectors;
Conference_Titel :
Information Theory and Statistics, 1994. Proceedings., 1994 IEEE-IMS Workshop on
Conference_Location :
Alexandria, VA
Print_ISBN :
0-7803-2761-6
DOI :
10.1109/WITS.1994.513909
