  Distributed source coding (DSC) addresses the compression of correlated
sources without communication links among them. This paper is concerned with
the Wyner-Ziv problem: coding of an information source with side information
available only at the decoder in the form of a noisy version of the source.
Both the theoretical analysis and code design are addressed in the framework of
multi-dimensional nested lattice coding (NLC). For theoretical analysis,
accurate computation of the rate-distortion function is given under the
high-resolution assumption, and a new upper bound using the derivative of the
theta series is derived. For practical code design, several techniques with low
complexity are proposed. Compared to the existing Slepian-Wolf coded nested
quantization (SWC-NQ) for Wyner-Ziv coding based on one or two-dimensional
lattices, our proposed multi-dimensional NLC can offer better performance at
arguably lower complexity, since it does not require the second stage of
Slepian-Wolf coding.
