Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Font Segura, Josep"'
We show that for a wide range of channels and code ensembles with pairwise-independent codewords, with probability tending to 1 with the code length, expurgating an arbitrarily small fraction of codewords from a randomly selected code results in a co
Externí odkaz:
http://arxiv.org/abs/2307.12162
This paper shows that the probability that the error exponent of a given code randomly generated from a pairwise independent ensemble being smaller than a lower bound on the typical random-coding exponent tends to zero as the codeword length tends to
Externí odkaz:
http://arxiv.org/abs/2203.15607
This paper studies the concentration properties of random codes. Specifically, we show that, for discrete memoryless channels, the error exponent of a randomly generated code with pairwise-independent codewords converges in probability to its expecta
Externí odkaz:
http://arxiv.org/abs/2203.07853
Publikováno v:
Eur. Phys. J. Plus 136, 1047 (2021)
This paper studies the relativistic angular momentum for the generalized electromagnetic field, described by $r$-vectors in $(k,n)$ space-time dimensions, with exterior-algebraic methods. First, the angular-momentum tensor is derived from the invaria
Externí odkaz:
http://arxiv.org/abs/2110.10531
Publikováno v:
Mathematics (2021) 9, 2178
In this paper, we review two related aspects of field theory: the modeling of the fields by means of exterior algebra and calculus, and the derivation of the field dynamics, i.e., the Euler-Lagrange equations, by means of the stationary action princi
Externí odkaz:
http://arxiv.org/abs/2110.10514
Publikováno v:
Eur. Phys. J. Plus 136, 212 (2021)
This paper characterizes the symmetric rank-2 stress-energy-momentum tensor associated with fields whose Lagrangian densities are expressed as the dot product of two multivector fields, e. g., scalar or gauge fields, in flat space-time. The tensor is
Externí odkaz:
http://arxiv.org/abs/2104.07013
Publikováno v:
Eur. Phys. J. Plus 135, 305 (2020)
This paper presents an exterior-algebra generalization of electromagnetic fields and source currents as multivectors of grades $r$ and $r-1$ respectively in a flat space-time with $n$ space and $k$ time dimensions. Formulas for the Maxwell equations
Externí odkaz:
http://arxiv.org/abs/2003.07709
Publikováno v:
Mathematics (2019), 7(6), 564
The basic concepts of exterior calculus for space-time multivectors are presented: interior and exterior products, interior and exterior derivatives, oriented integrals over hypersurfaces, circulation and flux of multivector fields. Two Stokes theore
Externí odkaz:
http://arxiv.org/abs/2002.12604
This paper studies the random-coding exponent of joint source-channel coding for the multiple-access channel with correlated sources. For each user, by defining a threshold, the messages of each source are partitioned into two classes. The achievable
Externí odkaz:
http://arxiv.org/abs/1901.05778
In this paper, an achievable error exponent for the multiple-access channel with two independent sources is derived. For each user, the source messages are partitioned into two classes and codebooks are generated by drawing codewords from an input di
Externí odkaz:
http://arxiv.org/abs/1805.11315