Index assignment design for three-description lattice vector quantization

In this paper, we propose a new index assignment scheme for the 3-description case, which aims to find a 3-tuple sublattice points to represent a fine lattice point. The design is made such that each edge of the triangle formed by the 3-tuple points needs to be as short as possible while the gravity center of the triangle is as close as possible to the fine lattice point. With a delicate sublattice partition, a well designed construction and mapping is developed to minimize the expected distortion