18,737 research outputs found

    Dataset to support the article "High-resolution 𝜙-OFDR using phase unwrap and nonlinearity suppression"

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    This dataset is used for realizing high resolution of phase-sensitive Optical Frequency Domain Reflectometer. It is associated with the research paper: Guo Z, Yan J, Han G, Yu Y, Greenwood D and Marco J (2023) &quot;High-Resolution &phi;-OFDR Using Phase Unwrap and Nonlinearity Suppression&quot;. Journal of Lightwave Technology, 41 (9), 2885-2891. (https://doi.org/10.1109/JLT.2023.3236775). The data is presented as an excel file: High_resolution_OFDR_using_phase_unwrap_and_nonlinearity_suppression.xlsx This work was funded by High Value Manufacturing Catapult and the Engineer and Physical Sciences Research Council - EPSRC EP/V000624/1. The author Gaoce Han would like to acknowledge the China Scholarship Council for sponsoring.</span

    Han Suyin (Chinese author) speaking at Dallas Brookes Hall.

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    This record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/276390Han Suyin (Chinese author) speaking at Dallas Brookes Hall.200056 Item: [1999.0081.00439] "Han Suyin (Chinese author) speaking at Dallas Brookes Hall.

    A Study on the mathematics textbooks in the era of the Great Han Empire

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    이 글은 갑오경장(1894)과 경술 국치(1910) 사이에 간행된 산학(수학) 교재류의 목록을 확인하고, 각 텍스트의 출판과 관련된 사항, 소장처, 이본 등의 서지적 정보와 함께 이 시기 산학 교재류의 국어사 자료로서의 의의를 언어 사용 상의 측면에 초점을 두어 정리하는 것을 목적으로 한다. 이는 현대 한국어 태동기의 분과 학문의 도입 양상에 대한 연구의 일환인 한편, 학술 용어의 번역과 정착을 중심으로 이 시기의 한국어의 어휘 확장 양상을 확인하는 데에 필요한 기초 자료를 정리하는 작업의 한 부분이다. 본 연구에 앞선 산학(수학) 교재류에 대한 연구로는 산학 교재류의 서지 사항에 대해 기술한 강윤호(1973:187-199), 김봉희(1992:247-253), 한길준(2009), 오채환 외(2010) 등이 있고, 한국 수학사를 기술하면서 교재류를 함께 다룬 것으로 김용운·김용국(1982)와 이상구(2013)이 있다.This paper aims to make a whole list of the mathematics textbooks in the era of the Great Han Empire and summerize bibliographical data and linguistic characteristics in view of Korean history. In chapter 1, the author reviewed former studies which deals with the mathematics textbooks in the era of the Great Han Empire. In chapter 2, the author summerized bibliographical data of 45 volumes of 32 kinds textbooks. In chapter 3, the author described linguistic characteristics of the textbooks, especially focusing on writing systems, the use of Arabic numerals, horizontal writing, and presence of index or glossary

    Also By The Same Author: AKTiveAuthor, a Citation Graph Approach to Name Disambiguation

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    The desire for definitive data and the semantic web drive for inference over heterogeneous data sources requires co-reference resolution to be performed on those data. In particular, name disambiguation is required to allow accurate publication lists, citation counts and impact measures to be determined. This paper describes a graph-based approach to author disambiguation on large-scale citation networks. Using self-citation, co-authorship and document source analyses, AKTiveAuthor clusters papers, achieving precision of 0.997 and recall of 0.818 over a test group of eight surname clusters

    Classification of Finite Group-Frames and Super-Frames

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    AbstractGiven a finite group G, we examine the classification of all frame representations of G and the classification of all G-frames, i.e., frames induced by group representations of G. We show that the exact number of equivalence classes of G-frames and the exact number of frame representations can be explicitly calculated. We also discuss how to calculate the largest number L such that there exists an L-tuple of strongly disjoint G-frames.</jats:p

    The existence of tight Gabor duals for Gabor frames and subspace Gabor frames

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    AbstractLet K and L be two full-rank lattices in Rd. We give a complete characterization for all the Gabor frames that admit tight dual of the same type. The characterization is given in terms of the center-valued trace of the von Neumann algebra generated by the left regular projective unitary representations associated with the time–frequency lattice K×L. Two applications of this characterization were obtained: (i) We are able to prove that every Gabor frame has a tight dual if and only if the volume of K×L is less than or equal to 12. (ii) We are able to obtain sufficient or necessary conditions for the existence of tight Gabor pseudo-duals for subspace Gabor frames in various cases. In particular, we prove that every subspace Gabor frame has a tight Gabor pseudo-dual if either the volume v(K×L)⩽12 or v(K×L)⩾2. Moreover, if K=αZd, L=βZd with αβ=1, then a subspace Gabor frame G(g,L,K) has a tight Gabor pseudo-dual only when G(g,L,K) itself is already tight

    Dataset to support the article &quot;High Sensing Accuracy Realisation with Millimetre/sub-Millimetre Resolution in Optical Frequency Domain Reflectometer&quot;

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    This dataset is used for realizing high sensing accuracy and sub-millimetre resolution of Optical Frequency Domain Reflectometer. It is associated with the research paper &quot;High Sensing Accuracy Realisation with Millimetre sub-Millimetre Resolution in Optical Frequency Domain Reflectometer&quot; in Journal: Journal of Lightwave Technology. This work was funded by High Value Manufacturing Catapult, grant reference, 160080 CORE (WMG), titled &lsquo;Smart Sensing for Future Batteries&rsquo; and the EPSRC (Engineering and Physical Sciences Research Council), grant reference EP/R004927/1, titled &lsquo;Prosperity Partnership&rsquo;. The author Gaoce Han would like to acknowledge the China Scholarship Council for sponsoring.</span

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    Given a window function which generates a Gabor (resp. wavelet) frame. We consider the best approximation by those window functions that generate normalized tight (or just tight) frames. Using a parameterizations of window functions by certain class of operators in the von Neumann algebras associated with shift operators in time and frequency over certain lattices, we are able to prove that for any window function of a Gabor frame, there exists a unique window function which generates a tight Gabor frame and is the best approximation (among all the tight Gabor frames) for the given window function. More generally, we show that this is true for any frame induced by a projective unitary representation for a group. However, this result is not valid for wavelet frames. We will provide a restricted approximation result for semi-orthogonal wavelet frames

    Dilations And Completions For Gabor Systems

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    Let Λ=K×L be a full rank time-frequency lattice in a, d ×a, d . In this note we first prove that any dual Gabor frame pair for a Λ-shift invariant subspace M can be dilated to a dual Gabor frame pair for the whole space L 2(a, d ) when the volume v(Λ) of the lattice Λ satisfies the condition v(Λ)1, and to a dual Gabor Riesz basis pair for a Λ-shift invariant subspace containing M when v(Λ)\u3e1. This generalizes the dilation result in Gabardo and Han (J. Fourier Anal. Appl. 7:419-433, [2001]) to both higher dimensions and dual subspace Gabor frame pairs. Secondly, for any fixed positive integer N, we investigate the problem whether any Bessel-Gabor family G(g,Λ) can be completed to a tight Gabor (multi-)frame G(g,Λ) ( j=1N G(g j ,Λ)) for L 2(a, d ). We show that this is true whenever v(Λ) N. In particular, when v(Λ) 1, any Bessel-Gabor system is a subset of a tight Gabor frame G(g,Λ) G(h,Λ) for L 2(a, d ). Related results for affine systems are also discussed. © 2008 Birkhäuser Boston

    A Note On The Density Theorem For Projective Unitary Representations

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    It is well known that a Gabor representation on L2(ℝd) admits a frame generator h ∈ L2(ℝd) if and only if the associated lattice satisfies the Beurling density condition, which in turn can be characterized as the “trace condition” for the associated von Neumann algebra. It happens that this trace condition is also necessary for any projective unitary representation of a countable group to admit a frame vector. However, it is no longer sufficient for general representations, and in particular not sufficient for Gabor representations when they are restricted to proper time-frequency invariant subspaces. In this short note we show that the condition is also sufficient for a large class of projective unitary representations, which implies that the Gabor density theorem is valid for subspace representations in the case of irrational types of lattices
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