  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.
