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Showing 1 to 20 of 90 for “"Hadamard"”.
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Finding Hadamard and (epsilon,delta)-Quasi-Hadamard Matrices with Optimization Techniques
… improve these techniques, we apply them to the Hadamard Conjecture (proving that Hadamard matrices exist in dimensions divisible by 4), which is a good example to study since Hadamard matrices have interesting applications (communication theory, quantum information theory, experiment design, …
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A Survey of the Hadamard Conjecture
Hadamard matrices are defined, and their basic properties outlined. A survey of historical and recent literature follows, in which a number of existence theorems are examined and given context. Finally, a new result for Hadamard matrices over $\Z_2$ is presented and given a graph-theoretic …
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Hermite-Hadamard inequality in the geometry of banach spaces
… of a Banach space. Motivated by the Hermite-Hadamard inequality, a new family of norms is defined, which is called the p-HH-norm. The research outcomes of this thesis make significant contributions in Banach space theory, the theory of means and the theory of inequalities. These contributions …
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Error-Correcting Codes Associated With Generalized Hadamard Matrices Over Groups
<p>Classical Hadamard matrices are orthogonal matrices whose elements are ±1. It is well-known that error correcting codes having large minimum distance between codewords can be associated with these Hadamard matrices. Indeed, the success of early Mars deep-space probes was strongly dependent upon …
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Probabilistically checkable proofs and the testing of Hadamard-like codes
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1996.
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VIDEO TEMPLATE MATCHING ALGORITHM FOR CONSTRUCTION PROJECTS---A HADAMARD DOMAIN APPROACH
… utilizes special relation between associated Hadamard determinants. Results indicate the proposed algorithm outperforms many popular algorithms without increasing computational complexity level. Moreover, the algorithm is capable of adjusting three parameters accordingly to meet different …
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Paracausal deformations, M{\o}ller operators, and Hadamard states in CCR AQFT.
… possess the important property of preserving Hadamard states, providing a new way to implement the deformation argument used to prove the existence of such states in general globally hyperbolic spacetime. Moreover, the algebraic quantization of the Proca field, i.e the massive spin 1 field, on …
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In-Vivo Three Dimensional Proton Hadamard Spectroscopic Imaging in the Human Brain
… In contrast, an alternative localization method, Hadamard spectroscopic imaging (HSI) benefits from a theoretically ideal PSF and consequently does not suffer from these drawbacks. In this work we exploit the theoretically ideal PSF of HSI encoding to develop a novel three dimensional (3D) …
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Numerical methods for fractional differential equations by new caputo and hadamard types operators
… such as Caputo-Fabrizio operator, Caputo-Hadamard fractional derivative, Marchaud fractional derivative or Caputo fractional derivative. The fractional differential equations defined in these fractional derivatives and operators definition are difficult or impossible to solve analytically. …
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Método do ponto proximal inexato para minimização quase-convexa em variedades de Hadamard
… with non positive sectional curvature, called Hadamard manifolds. Then, we show that under mild hypotheses on the optimization problem, the sequence generated by the proposed method are well defined and converge to critical points of the problem. We also prove that the convergence rate of the …
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Hadamard transformcoding of television signals. A theoretical investigation of the adaptive coding of Hadamard transformed television signals. The use of computable objective measures for the assessment of local subpicture characteristics in selecting appropriate coders.
… characteristics of television subpictures in a Hadamard transform multicoder scheme is stated and discussed. Detailed investigations of transform domain coefficient statistical characteristics for different test images have been conducted. Both monochrome and colour signals were used, as well as …
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Implementation of Hadamard Encoding and Reconstruction of MEGA-Edited Spectroscopy (HERMES) for quantification of ɣ-aminobutyric acid (GABA) and glutathione (GSH)
… Siemens Skyra MRI a novel MRS technique called Hadamard Encoding and Reconstruction of MEGA-Edited Spectroscopy (HERMES) to simultaneously detect GABA and GSH, developed a novel postprocessing technique that simultaneously models the sum and various difference spectra, and evaluated the …
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The use of Hadamard Transform as a data compression technique in the development of a 3-dimensional fluorescence spectral library for qualitative analysis
… compression techniques developed utilize the Hadamard Transform and the modified zero-crossing clipping algorithm. The spectral search technique utilizes the unique format of the compressed and clipped data to greatly accelerate spectrum identification. To demonstrate the feasibility of this …
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Source modulated multiplexed hyperspectral imaging: Theory, hardware and application
… entries. The theory of multiplexing using the Hadamard matrices is developed. Results from prior art are incorporated into a singular notational system under which the different Hadamard matrices are compared with each other and with acquisition of data without multiplexing (pointwise …
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Topics in Coding Theory: 1. The A(,s)(n,d) Problem in The Plotkin Region. 2. Number of Information Symbols in a Bch Code
… such that sd > t(s - 1)n. We define Generalized Hadamard matrices, using a notion of orthogonality over a group, and show that these matrices give rise to certain A(,s)(n,d) codes. Two general constructions for A(,s)(n,d) codes, which apparently do not depend on Hadamard matrices, are given. …
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Detection of multiple correlated time series and its application in synthetic aperture sonar imagery
… The test statistic becomes a generalized Hadamard ratio given by the ratio of the determinant of the estimate of this composite covariance matrix over the product of the determinant of its diagonal blocks. One important question in the practical application of any likelihood ratio test is …
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Mutually Unbiased Bases in Low Dimensions
… identify d mutually unbiased (MU) complex (d×d) Hadamard matrices, defining a complete set of d+1 MU bases. This thesis is an exploration of sets of r≤d+1 MU bases in low dimensions. We derive all inequivalent sets of MU bases in dimensions two to five confirming that in these dimensions, the …
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