Extended Shannon's Inequality and the Asymptotic Capacity of T-User Binary Added Channel

Wai Ho MOW

doi:10.1109/ISIT.1995.550437

Extended Shannon's Inequality and the Asymptotic Capacity of T-User Binary Added Channel

Wai Ho MOW

Department of Electronic and Computer Engineering

Research output: Contribution to conference › Conference Paper › peer-review

Abstract

An extension of Shannon's inequality for discrete probability distribution with an infinite number of elements is considered. As an application, the asymptotic capacity of the T-user binary adder channel is exactly determined. The previously known asymptotically good (but not very) T-user code of Chang and Weldon (1979) is shown to be far from asymptotically very good. It is thus concluded that the achievability problem of the asymptotic capacity remains open.

Original language	English
DOIs	https://doi.org/10.1109/ISIT.1995.550437
Publication status	Published - Sept 1995
Event	Unknown Event - Duration: 1 Sept 1995 → 1 Sept 1995

Conference

Conference	Unknown Event
Period	1/09/95 → 1/09/95

Keywords

Welding
Probability distribution
Erbium
Sufficient conditions
Upper bound

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10.1109/ISIT.1995.550437

Cite this

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title = "Extended Shannon's Inequality and the Asymptotic Capacity of T-User Binary Added Channel",

abstract = "An extension of Shannon's inequality for discrete probability distribution with an infinite number of elements is considered. As an application, the asymptotic capacity of the T-user binary adder channel is exactly determined. The previously known asymptotically good (but not very) T-user code of Chang and Weldon (1979) is shown to be far from asymptotically very good. It is thus concluded that the achievability problem of the asymptotic capacity remains open.",

keywords = "Welding, Probability distribution, Erbium, Sufficient conditions, Upper bound",

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year = "1995",

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AU - MOW, Wai Ho

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N2 - An extension of Shannon's inequality for discrete probability distribution with an infinite number of elements is considered. As an application, the asymptotic capacity of the T-user binary adder channel is exactly determined. The previously known asymptotically good (but not very) T-user code of Chang and Weldon (1979) is shown to be far from asymptotically very good. It is thus concluded that the achievability problem of the asymptotic capacity remains open.

AB - An extension of Shannon's inequality for discrete probability distribution with an infinite number of elements is considered. As an application, the asymptotic capacity of the T-user binary adder channel is exactly determined. The previously known asymptotically good (but not very) T-user code of Chang and Weldon (1979) is shown to be far from asymptotically very good. It is thus concluded that the achievability problem of the asymptotic capacity remains open.

KW - Welding

KW - Probability distribution

KW - Erbium

KW - Sufficient conditions

KW - Upper bound

UR - https://openalex.org/W1633757703

U2 - 10.1109/ISIT.1995.550437

DO - 10.1109/ISIT.1995.550437

M3 - Conference Paper

T2 - Unknown Event

Y2 - 1 September 1995 through 1 September 1995

ER -

Extended Shannon's Inequality and the Asymptotic Capacity of T-User Binary Added Channel

Abstract

Conference

Keywords

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