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Eigenvectors of block circulant and alternating circulant matrices [PDF]
The eigenvectors and eigenvalues of block circulant matrices had been found for real symmetric matrices with symmetric submatrices, and for block circulant matrices with circulant submatrices. The eigenvectors are now found for general block circulant
Tee, Garry J.
core +1 more source
The minimum rank problem for circulants
The minimum rank problem is to determine for a graph $G$ the smallest rank of a Hermitian (or real symmetric) matrix whose off-diagonal zero-nonzero pattern is that of the adjacency matrix of $G$.
Deaett, Louis, Meyer, Seth A.
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Definition and Computation of Tensor‐Based Generalized Function Composition
ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley +1 more source
Quasi-Cyclic LDPC Codes based on Pre-Lifted Protographs
Quasi-cyclic low-density parity-check (QC-LDPC) codes based on protographs are of great interest to code designers because analysis and implementation are facilitated by the protograph structure and the use of circulant permutation matrices for ...
Costello Jr, Daniel J. +2 more
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Range–Doppler Estimation With an EM‐Learned Prior for Pulse‐Agile Waveforms
This letter proposes an expectation–maximisation (EM)‐based range–Doppler (RD) estimator that adaptively learns the clutter and target distributions and adjusts an RD prior map. By optimising the shrinkage strength via prior weighting, the proposed method improves RSM suppression in the region of interest.
Xiaojian Xu +3 more
wiley +1 more source
A Novel Hybrid Image Encryption Scheme Using Henon Map for Secure Image Communication
The combination of chaos theory and cryptographic methodologies constitutes a pivotal aspect of the information security. Owing to certain attributes of images, like their large data capacity and significant redundancy, image encryption needs specialized techniques instead of conventional text encryption.
Saba Inam +6 more
wiley +1 more source
Quantum Algorithms for the Multiplication of Circulant Matrices and Vectors
This article presents two quantum algorithms for computing the product of a circulant matrix and a vector. The arithmetic complexity of the first algorithm is O(Nlog2N) in most cases. For the second algorithm, when the entries in the circulant matrix and
Lu Hou, Zhenyu Huang, Chang Lv
doaj +1 more source
Joint 2‐D LFM Modulation and Mismatched Filter Design in Dual‐Function Radar‐Communication System
This paper proposes a joint 2‐D LFM modulation and mismatched filtering design for military‐grade dual‐function radar‐communication systems. The novel scheme modulates data onto both the initial frequency and chirp rate of LFM pulses, boosting data rates whilst preserving the constant‐envelope property critical for high‐power transmission.
Kehao Wang +5 more
wiley +1 more source
Zero Forcing Sets and Bipartite Circulants [PDF]
In this paper we introduce a class of regular bipartite graphs whose biadjacency matrices are circulant matrices and we describe some of their properties.
Meyer, Seth A.
core
Signed group orthogonal designs and their applications
Craigen introduced and studied {\it signed group Hadamard matrices} extensively in \cite{Craigenthesis, Craigen}. Livinskyi \cite{Ivan}, following Craigen's lead, studied and provided a better estimate for the asymptotic existence of signed group ...
Ghaderpour, Ebrahim
core +1 more source

