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Multi-Kernel Polar Codes: Proof of Polarization and Error Exponents
September 29, 2017 Β· Declared Dead Β· π Information Theory Workshop
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Authors
Meryem Benammar, Valerio Bioglio, Frederic Gabry, Ingmar Land
arXiv ID
1709.10371
Category
cs.IT: Information Theory
Citations
34
Venue
Information Theory Workshop
Last Checked
6 months ago
Abstract
In this paper, we investigate a novel family of polar codes based on multi-kernel constructions, proving that this construction actually polarizes. To this end, we derive a new and more general proof of polarization, which gives sufficient conditions for kernels to polarize. Finally, we derive the convergence rate of the multi-kernel construction and relate it to the convergence rate of each of the constituent kernels.
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