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- Centre National de la Recherche ScientifiqueFR509 papers
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65 papers · 1 filter
Thermodynamics a la Souriau on Kähler Non Compact Symmetric Spaces for Cartan Neural Networks
Pietro G. Fré, Alexander S. Sorin, Mario Trigiante
In this paper, we clarify several issues concerning the abstract geometrical formulation of thermodynamics on non compact symmetric spaces that are the mathematical…
Efficient Belief Propagation List Ordered Statistics Decoding of Polar Codes
Yonatan Urman, Guy Mogilevsky, David Burshtein
New algorithms for efficient decoding of polar codes (which may be CRC-augmented), transmitted over either a binary erasure channel (BEC) or an additive white Gaussian noise channe…
Moments of Subsets of General Equiangular Tight Frames
Marina Haikin, Ram Zamir
This note outlines the steps for proving that the moments of a randomly-selected subset of a general ETF (complex, with aspect ratio ) converge to the corresponding MANOVA m…
Efficient Maximum Likelihood Decoding of Polar Codes Over the Binary Erasure Channel
Yonatan Urman, David Burshtein
A new algorithm for efficient exact maximum likelihood decoding of polar codes (which may be CRC augmented), transmitted over the binary erasure channel, is presented. The algorith…
List-decoding and list-recovery of Reed-Solomon codes beyond the Johnson radius for any rate
Eitan Goldberg, Chong Shangguan, Itzhak Tamo
Understanding the limits of list-decoding and list-recovery of Reed-Solomon (RS) codes is of prime interest in coding theory and has attracted a lot of attention in recent decades.…
Graph-based Detection of Multiuser Impulse Radio Systems
Y. Shen Bachar, O. Amrani
Impulse-Radio (IR) is a wideband modulation technique that can support multiple users by employing random Time-Hopping (TH) combined with repeated transmissions. The latter is aime…