NDLI: Theory of an adaptive quantizer

Content Provider	IEEE Xplore Digital Library
Author	Goodman, D.J. Gersho, A.
Copyright Year	1973
Description	Author affiliation: Bell Telephone Laboratories (Goodman, D.J.; Gersho, A.)
Abstract	In an adaptive quantizer that has been used for speech encoding, the entire amplitude range expands or contracts by a multiplicative constant after each input sample. The constant, Mi, depends only on the magnitude of the current quantizer output. Assuming independent identically distributed input samples, we show that the sequence of quantizer ranges is a stochastically stable process. Furthermore, we derive a key design equation, ¿pi(X) log Mi=0, where Pi(X) is the steady-state probability that a quantized sample lies in the ith magnitude level when the ratio of quantizer range scale to rms signal level is X. A designer may specify X and solve this equation for multipliers that provide the desired steady state performance. There are many such sets of multipliers and we show that the adaptation time constant associated with each set depends on MN/Ml, the ratio of largest to smallest multiplier.
Starting Page	361
Ending Page	365
File Size	380677
Page Count	5
File Format	PDF
DOI	10.1109/CDC.1973.269191
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1973-12-05
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Equations Dynamic range Quantization
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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