A comparison of the Z, E/sub 8/, and Leech lattices for quantization of low-shape-parameter generalized Gaussian sources
Zheng Gao, Benjamin J. Belzer, John D. Villasenor · IEEE Signal Processing Letters · 1995
In lattice vector quantization, the distortion associated with a given lattice is often expressed in terms of the G number, which is a measure of the mean square error per dimension generated by quantization of a uniform source. Subband image coefficients, however, are best modeled by a generalized Gaussian distribution, leading to distortion characteristics that are quite different from those encountered for uniform, Laplacian, or Gaussian sources. We have calculated the distortion associated with Z, E/sub 8/, and Leech (1967) lattice quantization for coding of generalized Gaussian sources and show that for low bit rates, the Z lattice offers both the best performance and the lowest implementational complexity.>