Publication

Polar coding schemes for the AWGN channel

Emmanuel Abbé
2011
Conference Papers

Abstract

This paper investigates polar coding schemes achieving capacity for the AWGN channel. The approaches using a multiple access channel with a large number of binary-input users and a single-user channel with a large prime-cardinality input are compared with respect to complexity attributes. The problem of finding discrete approximations to the Gaussian input is then investigated, and it is shown that a quantile quantizer achieves a gap to capacity which decreases like 1/q (where q is the number of constellation points), improving on the 1/log(q) decay achieved with a binomial (central limit theorem) quantizer.

Official source

https://infoscience.epfl.ch/entities/publication/b2163ddc-48f5-4676-94f6-5d55ae88667c

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Emmanuel Abbé
2011
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/b2163ddc-48f5-4676-94f6-5d55ae88667c

About this result

Related concepts (32)

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.

Large numbers

Large numbers are numbers significantly larger than those typically used in everyday life (for instance in simple counting or in monetary transactions), appearing frequently in fields such as mathematics, cosmology, cryptography, and statistical mechanics. They are typically large positive integers, or more generally, large positive real numbers, but may also be other numbers in other contexts. Googology is the study of nomenclature and properties of large numbers.

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A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers can be represented by symbols, called numerals; for example, "5" is a numeral that represents the number five. As only a relatively small number of symbols can be memorized, basic numerals are commonly organized in a numeral system, which is an organized way to represent any number.

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Polar coding schemes for the AWGN channel

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