Quantization
Gray, R.M.; Neuhoff, D.L.
Information Theory, IEEE Transactions on
Volume 44, Issue 6, Oct 1998 Page(s):2325 - 2383
Digital Object Identifier 10.1109/18.720541
Summary:The history of the theory and practice of quantization dates to
1948, although similar ideas had appeared in the literature as long ago
as 1898. The fundamental role of quantization in modulation and
analog-to-digital conversion was first recognized during the early
development of pulse-code modulation systems, especially in the 1948
paper of Oliver, Pierce, and Shannon. Also in 1948, Bennett published
the first high-resolution analysis of quantization and an exact analysis
of quantization noise for Gaussian processes, and Shannon published the
beginnings of rate distortion theory, which would provide a theory for
quantization as analog-to-digital conversion and as data compression.
Beginning with these three papers of fifty years ago, we trace the
history of quantization from its origins through this decade, and we
survey the fundamentals of the theory and many of the popular and
promising techniques for quantization
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