Results 31 to 40 of about 2,263,836 (123)
Putatively Optimal Projective Spherical Designs With Little Apparent Symmetry
Journal of Combinatorial Designs, Volume 33, Issue 6, Page 222-234, June 2025.ABSTRACT We give some new explicit examples of putatively optimal projective spherical designs, that is, ones for which there is numerical evidence that they are of minimal size. These form continuous families, and so have little apparent symmetry in general, which requires the introduction of new techniques for their construction.
Alex Elzenaar, Shayne Waldron
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Programmable photonic unitary circuits for light computing
Nanophotonics, Volume 14, Issue 10, Page 1429-1449, May 2025.Abstract Unitarity serves as a fundamental concept for characterizing linear and conservative wave phenomena in both classical and quantum systems. Developing platforms that perform unitary operations on light waves in a universal and programmable manner enables the emulation of complex light–matter interactions and the execution of general‐purpose ...
Kyuho Kim +5 more
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, 2021 In this paper, we obtain explicit Euclidean norm, eigenvalues, spectral norm and determinant of circulant matrix with the generalized Tribonacci (generalized (r, s, t)) numbers.
Yüksel Soykan
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Lattices in function fields and applications
Mathematika, Volume 71, Issue 2, April 2025.Abstract In recent decades, the use of ideas from Minkowski's Geometry of Numbers has gained recognition as a helpful tool in bounding the number of solutions to modular congruences with variables from short intervals. In 1941, Mahler introduced an analogue to the Geometry of Numbers in function fields over finite fields.
Christian Bagshaw, Bryce Kerr
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Methods of Sparse Measurement Matrix Optimization for Compressed Sensing
IET Signal Processing, Volume 2025, Issue 1, 2025.In compressed sensing (CS), a sparse measurement matrix with few nonzero entries is more competitive than a dense matrix in reducing the number of multiplication units. Recent studies indicate that an optimized measurement matrix having low coherence with a specified dictionary can significantly improve the reconstruction performance.
Renjie Yi +5 more
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The structure of digraphs with excess one
Journal of Graph Theory, Volume 106, Issue 3, Page 411-434, July 2024.Abstract A digraph G $G$ is k $k$‐geodetic if for any (not necessarily distinct) vertices u,v $u,v$ there is at most one directed walk from u $u$ to v $v$ with length not exceeding k $k$. The order of a k $k$‐geodetic digraph with minimum out‐degree d $d$ is bounded below by the directed Moore bound M(d,k)=1+d+d2+⋯+dk $M(d,k)=1+d+{d}^{2}+\cdots +{d}^{k}
James Tuite
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Sequence optimisation for compressed sensing CDMA MIMO radar via mutual coherence minimisation
IET Radar, Sonar &Navigation, Volume 18, Issue 7, Page 1178-1192, July 2024.The authors focus on optimising waveforms for CDMA‐MIMO radar systems, particularly for Compressed Sensing (CS) based target estimation. The study introduces an optimisation framework to modify phase components of code sequences, aiming to minimise off‐diagonal elements in the Gramian matrix of the sensing matrix.
Saravanan Nagesh +4 more
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On a class of column‐weight 3 decomposable LDPC codes with the analysis of elementary trapping sets
IET Communications, Volume 18, Issue 9, Page 583-596, June 2024.In this paper, some variations of edge coloring of graphs are used to construct some column‐weight‐three decomposable LDPC codes with girths at least six and eight. Applying the presented method on several known classes of bipartite graphs, some classes of column‐weight‐three decomposable LDPC codes are derived having flexibility in length and rate ...
G. Raeisi, M. Gholami
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Some equalities for generalized inverses of matrix sums and block circulant matrices [PDF]
, 2001 summary:Let $ A_1, A_2,\cdots , A_n $ be complex matrices of the same size. We show in this note that the Moore-Penrose inverse, the Drazin inverse and the weighted Moore-Penrose inverse of the sum $ \sum _{t=1}^{n} A_t$ can all be determined by the ...
Tian, Yongge
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Compressive Color Pattern Detection using Partial Orthogonal Circulant Sensing Matrix
, 2020 International audienceOne key issue in compressive sensing is to design a sensing matrix that is random enough to have a good signal reconstruction quality and that also enjoys some desirable properties such that orthogonality or being circulant.
Helbert, David, Rousseau, Sylvain
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