Coding and Quantization

This volume contains the proceedings of the DIMACS/IEEE workshop on coding and quantization. The theme of the workshop was the application of discrete mathematics to reliable data transmission and source compression. These applications will become more significant in the coming years, with the advent of high capacity cellular networks, personal communications devices, and the ''wireless office''. The articles are written by experts from industry and from academia. Requiring only a background in basic undergraduate mathematics, this book appeals to mathematicians interested in multidimensional Euclidean geometry (especially lattice theory), as well as to engineers interested in bandwidth efficient communication or vector quantization.

On the duality of coding and quantizing
On existence proofs for asymptotically good Euclidean-space group codes
The Nordstrom-Robinson code is the binary image of the octacode
Generalized theta functions for lattice vector quantization
Tree structured signal space codes
The other asymptotic theory of lossy source coding
Block-constrained quantization: Asymptotic analysis
Syndrome-based VQ codebooks
Decoding under integer metric constraints
The optimality of the natural binary code
Multiple description scalar quantizer design: Good index assignments
Structured vector quantizers as generalized product codes
A new construction of trellis-coded quantizers
Trellis-based scalar-vector quantizer for memoryless sources
Lattice-structured codebooks–construction and implementation for memoryless sources
Decoding on a finite state transition diagram while avoiding a sub-diagram
Covering properties of binary convolutional codes and lattice quantization of uniform sources
A Markovian method common to both quantization and decoding using convolutional codes
Trellis codes, symbolic dynamics, and isometries
The design of finite-state machines for quantization using simulated annealing
The M-algorithm, the failure of reduced-state sequence detection with good convolutional codes, and some implications for trellis coding
An algebraic approach to constructing convolutional codes from quasi-cyclic codes
Table-driven decoding of convolutional codes with soft decision
Rotationally invariant multilevel codes
Constellations for diversity
Bounded expansion codes for error control
A bound on the zero-error list coding capacity
Geometric vector quantization for subband-based video coding
Recursively indexed differential pulse code modulation
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Coding and Quantization

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