Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Rajai Nasser"'
Autor:
Rajai Nasser
Publikováno v:
Entropy, Vol 20, Iss 5, p 343 (2018)
Two channels are said to be equivalent if they are degraded from each other. The space of equivalent channels with input alphabet X and output alphabet Y can be naturally endowed with the quotient of the Euclidean topology by the equivalence relation
Externí odkaz:
https://doaj.org/article/9a3f9684233649c0b6cd90e5097f22d5
Autor:
Rajai Nasser
Publikováno v:
Entropy, Vol 20, Iss 5, p 330 (2018)
We study the continuity of many channel parameters and operations under various topologies on the space of equivalent discrete memoryless channels (DMC). We show that mutual information, channel capacity, Bhattacharyya parameter, probability of error
Externí odkaz:
https://doaj.org/article/26d94f60217d44d29bece732ec87a4af
Autor:
Mokdad Mokdad, Rajai Nasser
Publikováno v:
Annales Henri Poincaré. 23:3191-3220
In this paper we show that there is a breakdown of scattering between the event horizon (or the Cauchy horizon) and an intermediate Cauchy hypersurface in the dynamic interior of a Reissner-Nordstr\"om-like black hole. More precisely, we show that th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b361b8b1c8e223febc13bfb5bc188577
https://doi.org/10.1007/s00023-022-01176-y
https://doi.org/10.1007/s00023-022-01176-y
We study the probability distribution of age of information (AoI) in arbitrary networks with memoryless service times. A source node generates packets following a Poisson process, and then the packets are forwarded across the network in such a way th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a6beeec51da884bfd747c1585e6c95d
http://arxiv.org/abs/2202.01297
http://arxiv.org/abs/2202.01297
Autor:
Rajai Nasser, Emre Telatar
Publikováno v:
ISIT
One problem with MAC polar codes that are based on MAC polarization is that they may not achieve the entire capacity region. The reason behind this problem is that MAC polarization sometimes induces a loss in the capacity region. This paper provides
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f668ab8621b163b1786ea9e1ff047e6
https://doi.org/10.1109/tit.2017.2693285
https://doi.org/10.1109/tit.2017.2693285
Autor:
Rajai Nasser
Publikováno v:
IEEE Transactions on Information Theory. 63:1063-1083
An open problem in polarization theory is to determine the binary operations that always lead to polarization (in the general multilevel sense) when they are used in Arikan style constructions. This paper, which is presented in two parts, solves this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adb90fa05d59f1e395742344ef55ba9d
https://doi.org/10.1109/tit.2016.2617958
https://doi.org/10.1109/tit.2016.2617958
Autor:
Rajai Nasser
Publikováno v:
ISIT
Let W be a channel where the input alphabet is endowed with an Abelian group operation, and let (Wn) n≥0 be Arikan’s channel-valued polarization process that is obtained from W using this operation. We prove that the process (Wn) n≥0 converges
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e97744ed31bdccc64cdd54010b05e190
https://doi.org/10.1109/isit.2019.8849403
https://doi.org/10.1109/isit.2019.8849403
Autor:
Rajai Nasser
Publikováno v:
IEEE Transactions on Information Theory. 62:6931-6952
An open problem in polarization theory is to determine the binary operations that always lead to polarization (in the general multilevel sense) when they are used in Arikan style constructions. This paper, which is presented in two parts, solves this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0e92069c031b659ad9f0219cfb5f494
https://doi.org/10.1109/tit.2016.2616642
https://doi.org/10.1109/tit.2016.2616642
Autor:
Rajai Nasser, Emre Telatar
Publikováno v:
IEEE Transactions on Information Theory. 62:2917-2936
Polar codes are constructed for arbitrary channels by imposing an arbitrary quasigroup structure on the input alphabet. Just as with "usual" polar codes, the block error probability under successive cancellation decoding is $o(2^{-N^{1/2-\epsilon}})$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b6e4dc54d6ffbcd7c9385267282a296
https://doi.org/10.1109/tit.2016.2555849
https://doi.org/10.1109/tit.2016.2555849
Autor:
Rajai Nasser
Publikováno v:
ISIT
It is known that if an Abelian group operation is used in an Ar{\i}kan-style construction, we have multilevel polarization where synthetic channels can approach intermediate channels that are neither almost perfect nor almost useless. An open problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c24812c156af5d5463b04931a4c6cfd
http://arxiv.org/abs/1811.05203
http://arxiv.org/abs/1811.05203