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Local orthogonal bases

Proceedings., International Conference on Image Processing, 2002
Discrete-time cosine modulated filter banks, or modulated lapped transforms (MLT), have been in use for some time. Due to a few of their properties, they have become quite popular. For example, all filters (basis functions) of a filter bank are obtained by appropriate modulation of a single prototype filter.
Riccardo Bernardini, Jelena Kovacevic
openaire   +1 more source

Approximation based on orthogonal and almost orthogonal functions

Journal of the Franklin Institute, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dragan Antic   +4 more
openaire   +2 more sources

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
openaire   +2 more sources

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.
openaire   +1 more source

Squeezable Orthogonal Bases: Accuracy and Smoothness [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2002
In this paper, the authors present a method for generating local orthogonal bases on arbitrary partitions on \(\mathbb{R}\) from a given local orthogonal shift-invariant basis via a so-called squeeze map. Necessary and sufficient conditions for a squeeze map are given to generate a nonuniform basis that preserves any smoothness and/or accuracy (i.e ...
George C. Donovan   +2 more
exaly   +3 more sources

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