Title :
Lattice codebook enumeration for generalized Gaussian source
Author :
Loyer, Pierre ; Moureaux, Jean-Marie ; Antonini, Marc
Author_Institution :
ALCATEL Space Industries, Cannes-La-Bocca, France
Abstract :
The goal of this correspondence is to propose a low-complexity enumeration algorithm for lattice vectors, based on a geometrical interpretation and valid for different source distributions, i.e., for different L
p-norms in the range 0
n lattice, can be generalized to other lattices like the Dn.
Keywords :
Gaussian distribution; convolutional codes; lattice theory; source coding; DSP; L/sub p/-norms; Laplacian enumeration formula; convolutional products; data compression; digital signal processing; generalized Gaussian source; generalized theta-series; geometrical interpretation; lattice codebook enumeration; lattice vectors; low-complexity enumeration algorithm; product code; source distributions; Convolution; Convolutional codes; Digital signal processing; Econometrics; Lattices; Least squares approximation; Maximum likelihood estimation; Signal processing algorithms; Statistics; Wavelet coefficients;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2002.807306