Publication

Gaussian Broadcast Channel With Feedback

Sibi Raj Bhaskaran Pillai
2008
Conference Papers

Abstract

For a Gaussian broadcast channel, it is known that: the capacity region in general is enlarged in the presence of feedback from all the receivers; and in the physically degraded case, feedback does not enlarge the capacity region. It is shown that the capacity region of a two-user Gaussian broadcast channel (GBC) is enlarged even when the feedback is available from only one of the receivers. Furthermore, in the degraded case with full feedback, we demonstrate an explicit capacity achieving coding strategy, with the decay of error doubly exponential in the number of transmissions specific to any given message.

Official source

https://infoscience.epfl.ch/entities/publication/e961f525-9688-4b80-b166-c31ba4b04ee4

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Sibi Raj Bhaskaran Pillai
2008
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/e961f525-9688-4b80-b166-c31ba4b04ee4

About this result

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Communication channel

A communication channel refers either to a physical transmission medium such as a wire, or to a logical connection over a multiplexed medium such as a radio channel in telecommunications and computer networking. A channel is used for information transfer of, for example, a digital bit stream, from one or several senders to one or several receivers. A channel has a certain capacity for transmitting information, often measured by its bandwidth in Hz or its data rate in bits per second.

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Information theory is the mathematical study of the quantification, storage, and communication of information. The field was originally established by the works of Harry Nyquist and Ralph Hartley, in the 1920s, and Claude Shannon in the 1940s. The field, in applied mathematics, is at the intersection of probability theory, statistics, computer science, statistical mechanics, information engineering, and electrical engineering. A key measure in information theory is entropy.

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