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Approximation based on orthogonal and almost orthogonal functions

Journal of the Franklin Institute, 2012
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Dragan Antic   +4 more
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On Orthogonal Coding-Based Modulation

IEEE Communications Letters, 2020
In this letter, we propose a new orthogonal coding-based modulation (OCBM) scheme, in which all available transmitting subcarriers and antennas are activated at a time instant to transmit the data constellation symbols, and the indices of the activated subcarriers and antennas are also harnessed to carry information bits.
Junfeng Wang 0006   +8 more
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A novel orthogonal PSO algorithm based on orthogonal diagonalization

Swarm and Evolutionary Computation, 2018
Abstract One of the major drawbacks of the global particle swarm optimization (GPSO) algorithm is zigzagging of the direction of search that leads to premature convergence by falling into local minima. In this paper, a new algorithm named orthogonal PSO (OPSO) algorithm is proposed that not only alleviates the associated problems in GPSO algorithm ...
Al-Bahrani, Loau Tawfak   +1 more
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ORTHOGONAL BASES IN $ L^p$

Mathematics of the USSR-Izvestiya, 1970
The following theorem is proved: Given any interval , there is an orthonormal system defined on [0,1] which is a basis in for all , but is not a basis in for any . Here .
Ryazanov, B. V., Slepchenko, A. N.
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Authenticated QKD Based on Orthogonal States

International Journal of Theoretical Physics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiaoling Xiong   +5 more
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Orthogonal bases

1998
Abstract One important use of the standard inner product of ℝ 3 is that it allows us to distinguish between ‘nice’ bases such as the usual one where the basis vectors are orthogonal to each other and each has length 1, and others such as (1, 0, 0)T, (1, 1, 0)T, (1, 1, 1)T where this is not true.
Richard Kaye, Robert Wilson
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MDS codes based on orthogonality of quasigroups

Applicable Algebra in Engineering, Communication and Computing, 2023
This paper presents a construction of maximum distance separable (MDS) codes through the use of orthogonal systems of \(k\)-ary quasigroup operations, including the concept of extended \(i\)-invertibility. The authors build on established results in quasigroup theory and multivariate polynomial systems to construct recursive linear MDS codes over ...
Satish Kumar   +3 more
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Local orthogonal bases I: Construction

Multidimensional Systems and Signal Processing, 1996
The authors present a unified approach to the construction of local orthogonal bases in the continuous and discrete multivariate setting by using symmetry properties of basis functions. Examples for one- and two-dimensional, discrete and continuous cases are included.
BERNARDINI, Riccardo, kovacevic j.
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On orthogonalization of bases

Mathematical Notes of the Academy of Sciences of the USSR, 1969
An example of a basis for space C, close to the Schauder system, is constructed which, after orthogonalization by the Schmidt method, is not a basis for space LP for any p e [1, 2) +(2,∞].
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Orthogonal hermite functions based orthogonal pulse shaping method

2009 Canadian Conference on Electrical and Computer Engineering, 2009
Ultra-Wideband (UWB) communication has attracted more attentions due to its advantages in short range applications. As one of the key techniques in UWB systems, many pulse shaping methods have been proposed. The semi-definite programming (SDP) based pulse shaping method can obtain the pulse with highest power efficiency by far.
Xuanli Wu   +3 more
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