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On a type of stochastic stability for a class of encoding schemes. (English) Zbl 0582.94014

It is shown for a class of symbol-by-symbol encoding schemes, including delta modulation and some adaptive quantization schemes, that the joint input-state-output sequence is asymptotically mean stationary if the input sequence is stationary. Asymptotic mean stationary is also obtained for the sequence of outputs produced by a general kind of variable-length to variable-length scheme, as well as for some sequences of waiting times arising in queueing theory.

MSC:

94A24 Coding theorems (Shannon theory)
94A14 Modulation and demodulation in information and communication theory
60K25 Queueing theory (aspects of probability theory)
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