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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 1967 Volume 3, Issue 2, Pages 22–36 (Mi ppi1893)

Asymptotic Transmission Capacity of Channels with a Countable Alphabet and Application to Asynchronous Channels

V. V. Prelov


Abstract: Discrete memoryless communications channels are considered with a countable number of symbols at input and output. It is assumed that the signal distortion at the input is subject to the restriction
$$ \sum^\infty_{k=1}\varphi(k)p_k\leq\mu, $$
where $\varphi(\cdot)$ is some positive function satisfying fairly general conditions. For such channels with low noise, for fairly general conditions, formulas are obtained asymptotic (with respect to a small parameter characterizing the noise power) for the transmission capacity. The method described is used to calculate the asymptotic transmission capacity of asynchronous channels with synchrosymbol and low noise.

UDC: 621.391.13

Received: 06.06.1966


 English version:
Problems of Information Transmission, 1967, 3:2, 18–29

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© Steklov Math. Inst. of RAS, 2025