Asymmetric Multiple Description Lattice Vector Quantizers
  We consider the design of asymmetric multiple description lattice quantizers that cover the entire spectrum of the distortion profile, ranging from symmetric or balanced to successively refinable. We present a solution to a labeling problem, which is an important part of the construction, along with a general design procedure. This procedure is illustrated using the Z^2 lattice. The asymptotic performance of the quantizer is analyzed in the high-rate case. We also evaluate its rate-distortion performance and compare it to known information theoretic bounds. 
Suhas N. Diggavi, N.J.A. Sloane, Vinay A. Vaishampayan