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The approximate capacity for the 3-receiver writing on random dirty paper channel
- Source :
- 2017 IEEE Information Theory Workshop (ITW), ITW
- Publication Year :
- 2017
- Publisher :
- Zenodo, 2017.
-
Abstract
- In this paper, the approximate capacity of the 3-receiver “writing on random dirty paper” (WRDP) channel is derived. In the M-receiver WRDP channel, the channel output is obtained as the sum of the channel input, white Gaussian noise and a channel state sequence randomly selected among a set of M independent Gaussian sequences. The transmitter has non-causal knowledge of the set of possible state sequences but does not know which one is selected to produce the channel output. In the following, we derive upper and lower bounds to the capacity of the 3-receiver WRDP channel which are to within a distance of at most 3 bits-per-channel-use (bpcu) for all channel parameters. In the achievability proof, the channel input is composed of the superposition of three codewords: the receiver opportunistically decodes a different set of codewords, depending on the variance of the channel state appearing in the channel output. Time-sharing among multiple transmission phases is employed to guarantee that transmitted message can be decoded regardless of the state realization. In the converse proof, we derive a novel outer bound which matches the pre-log coefficient arising in the achievability proof due to time-sharing. Although developed for the case of three possible state realizations, our results can be extended the general WRDP.
- Subjects :
- Gaussian
020206 networking & telecommunications
Data_CODINGANDINFORMATIONTHEORY
02 engineering and technology
State (functional analysis)
Upper and lower bounds
Superposition principle
symbols.namesake
Additive white Gaussian noise
Transmission (telecommunications)
0202 electrical engineering, electronic engineering, information engineering
symbols
Algorithm
Realization (systems)
Computer Science::Information Theory
Mathematics
Communication channel
Subjects
Details
- Language :
- English
- ISBN :
- 978-1-5090-3097-2
- ISBNs :
- 9781509030972
- Database :
- OpenAIRE
- Journal :
- 2017 IEEE Information Theory Workshop (ITW), ITW
- Accession number :
- edsair.doi.dedup.....60e15812ed0bf4e715c17bec372a71f9
- Full Text :
- https://doi.org/10.5281/zenodo.2586494