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1.
  • Laksman, Efraim, et al. (författare)
  • Generalized upper bounds on the minimum distance of PSK block codes
  • 2015
  • Ingår i: IMA Journal of Mathematical Control and Information. - : Oxford Journals. - 0265-0754 .- 1471-6887. ; 32:2, s. 305-327
  • Forskningsöversikt (refereegranskat)abstract
    • This paper generalizes previous optimal upper bounds on the minimum Euclidean distance for phase shift keying (PSK) block codes, that are explicit in three parameters: alphabet size, block length and code size. The bounds are primarily generalized from codes over symmetric PSK to codes over asymmetric PSK and also to general alphabet size. Furthermore, block codes are optimized in the presence of other types of noise than Gaussian, which induces also non-Euclidean distance measures. In some instances, codes over asymmetric PSK prove to give higher Euclidean distance than any code over symmetric PSK with the same parameters. We also provide certain classes of codes that are optimal among codes over symmetric PSK.
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2.
  • Gosson, Maurice de (författare)
  • The Principles of Classical and Quantum Mechanics
  • 2002
  • Ingår i: Hardcover. - London-Singapore : Imperial College Press.
  • Bokkapitel (övrigt vetenskapligt/konstnärligt)abstract
    • This book is devoted to a symplectic approach of classical and quantum mechanics
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3.
  • Nedic, Mitja, et al. (författare)
  • Herglotz functions and applications in electromagnetics
  • 2020
  • Ingår i: Advances in Mathematical Methods for Electromagnetics. - : Institution of Engineering and Technology. - 9781785613845 - 9781785613852 ; , s. 491-514
  • Bokkapitel (övrigt vetenskapligt/konstnärligt)abstract
    • Herglotz functions inevitably appear in pure mathematics, mathematical physics, and engineering with a wide range of applications. In particular, they are the pertinent functions to model passive systems, and thus appear in modeling of electromagnetic phenomena in circuits, antennas, materials, and scattering. In this chapter, we review the basic theory of Herglotz functions and its applications to determine sum rules and physical bounds for passive systems.
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5.
  • Archives of ALGA, volume 1
  • 2004
  • Samlingsverk (redaktörskap) (övrigt vetenskapligt/konstnärligt)abstract
    • Volume 1 contains 3 articles: Nail H. Ibragimov, Equivalence groups and invariants of linear and non-linear equations; Nail H. Ibragimov and Sergey V. Meleshko, Linearization of third-order ordinary differential equations; Nail H. Ibragimov, Gazanfer Ünal and Claes Jogreús, Group analysis of stochastic differential systems: Approximate symmetries and conservation laws.
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6.
  • Archives of ALGA. Volume 2
  • 2005
  • Samlingsverk (redaktörskap) (övrigt vetenskapligt/konstnärligt)abstract
    • Volume 2 contains 3 articles: Ilir Berisha, Translation of Bäcklunds paper ”Surfaces of constant negative curvature”; Johan Erlandsson, "Survey of mathematical models in biology from point of view of Lie group analysis"; Niklas Säfström, "Group analysis of a tumour growth model"
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7.
  • Archives of ALGA. Volume 3
  • 2006
  • Samlingsverk (redaktörskap) (övrigt vetenskapligt/konstnärligt)abstract
    • Volume 3 contains 6 articles: Lars Haikola, Louise Petrén-Overton, min mormor; Lars Haikola, Louise Petr´en-Overton, my grandmother. Traslations: Louise Petrén, Extension of Laplace's method to the equations...; E. Bessel-Hagen, On conservation laws of electrodynamics. Nail H. Ibragimov, The answer to the question put to me by L.V. Ovsyannikov 33 years ago; Nail H. Ibragimov, Raisa Khamitova, Bo Thidé, Adjoint system and conservation laws for symmetrized electromagnetic equations with a dual Ohm's law.
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8.
  • Archives of ALGA. Volume 4
  • 2007
  • Samlingsverk (redaktörskap) (övrigt vetenskapligt/konstnärligt)abstract
    • Volume 4 contains articles: Nail H. Ibragimov, Ewald J.H. Wessels and George F.R. Ellis, Group classication of the Sachs equations for a radiating axisymmetric, non-rotating, vacuum space-time; Nail H. Ibragimov A discussion of conservation laws for over-determined systems with application to the Maxwell equations in vacuum; Nail H. Ibragimov, Quasi-self-adjoint differential equations; Nail H. Ibragimov and Salavat V. Khabirov, Existence of integrating factors for higher-order ordinary differential equations; Nail H. Ibragimov, Integration of second-order linear equations via linearization of Riccati's equations; Nail H. Ibragimov and Sergey V. Meleshko Linearization of second-order ordinary differential equations by changing the order; Nail H. Ibragimov and Sergey V. Meleshko Second-order ordinary differential equations equivalent to y''= H(y); Nail H. Ibragimov, Sergey V. Meleshko and Supaporn Suksern, Linearization of fourth-order ordinary differential equations by point transformations; Nail H. Ibragimov and Emrullah Yasar, Non-local conservation laws in fluid dynamics
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9.
  • Archives of ALGA. Volume 6
  • 2009
  • Samlingsverk (redaktörskap) (övrigt vetenskapligt/konstnärligt)abstract
    • Volume 6 contains 6 articles: Nail H. Ibragimov, Utilization of canonical variables for integration of systems of first-order differential equations; Nail H. Ibragimov and Ranis N. Ibragimov, Group analysis of nonlinear internal waves in oceans. I: Self-adjointness, conservation laws, invariant solutions; Nail H. Ibragimov, Ranis N. Ibragimov and Vladimir F. Kovalev, Group analysis of nonlinear internal waves in oceans. II: The symmetries and rotationally invariant solution; Nail H. Ibragimov and Ranis N. Ibragimov, Group analysis of nonlinear internal waves in oceans. III: Additional conservation laws; Nail H. Ibragimov Alternative presentation of Lagrange's method of variation of parameters; Nail H. Ibragimov Application of group analysis to liquid metal systems.
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10.
  • Archives of ALGA, volume 7/8
  • 2010
  • Samlingsverk (redaktörskap) (övrigt vetenskapligt/konstnärligt)abstract
    • Volume 7/8 contains 3 articles by N.H. Ibragimov, an article by N.H. Ibragimov, E. D. Avdonina and an article by N. H. Ibragimov , R. Khamitova.
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