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AGCD： a robust periodicity analysis method based on approximate greatest common divisor

Frontiers of Information Technology & Electronic Engineering 2015年第6期16卷 466-473页

作者： Juan YU Pei-zhong LU School of Computer Science and Technology Fudan UniversiLy Shanghai 200433 China

periodicity is one of the most common phenomena in the physical world. The problem of periodicity analysis （or period detection） is a research topic in several areas, such as signal processing and data mining. However, period detection is a very challenging problem, due to the sparsity and noisiness of observational datasets of periodic events. This paper focuses on the problem of period detection from sparse and noisy observational datasets. To solve the problem, a novel method based on the approximate greatest common divisor （AGCD） is proposed. The proposed method is robust to sparseness and noise, and is efficient. Moreover, unlike most existing methods, it does not need prior knowledge of the rough range of the period. To evaluate the accuracy and efficiency of the proposed method, comprehensive experiments on synthetic data are conducted. Experimental results show that our method can yield highly accurate results with small datasets, is more robust to sparseness and noise, and is less sensitive to the magnitude of period than compared methods.

关键词： periodicity analysis Period detection Sparsity Noise Approximate greatest common divisor (AGCD)

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A novel algorithm to analyze the dynamics of digital chaotic maps in finite-precision domain

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Chinese Physics B 2023年第1期32卷 207-216页

作者：范春雷丁群 Electrical Engineering College Heilongjiang UniversityHarbin 150080China

Chaotic maps are widely used to design pseudo-random sequence generators, chaotic ciphers, and secure communication systems. Nevertheless, the dynamic characteristics of digital chaos in finite-precision domain must be degraded in varying degrees due to the limited calculation accuracy of hardware equipment. To assess the dynamic properties of digital chaos, we design a periodic cycle location algorithm(PCLA) from a new perspective to analyze the dynamic degradation of digital chaos. The PCLA can divide the state-mapping graph of digital chaos into several connected subgraphs for the purpose of locating all fixed points and periodic limit cycles contained in a digital chaotic map. To test the versatility and availability of our proposed algorithm, the periodic distribution and security of 1-D logistic maps and 2-D Baker maps are analyzed in detail. Moreover, this algorithm is helpful to the design of anti-degradation algorithms for digital chaotic dynamics. These related studies can promote the application of chaos in engineering practice.

关键词： digital chaos dynamic degradation state-mapping graph periodicity analysis

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维普期刊数据库

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Study on the positional stability of GPS reference stations in TJCORS

Study on the positional stability of GPS reference stations ...

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第三届中国卫星导航学术年会

作者： Xu Ying 1,Liu Hui 2,Zhang Yanfen 3,Feng Yantong 4 1 College of Environmental&Resource Sciences,Fujian Agriculture&Forestry University,Fuzhou,China 2 GNSS Research Centre,Wuhan University,Wuhan,China 3 Surveying and mapping engineering in Shanxi Province,Taiyuan,China 4 Shandong Provincial Institute of Land Surveying and Mapping,Jinan,China

The observations of Tianjin Continuously Operating Reference Sys-tem（TJCORS）of 2007-2009 are calculated by BERNESE 5.0 *** the position site time series from all of the reference stations are obtained,which are analyzed from aspects of periodicity,noise and tendency to figure out the time series’features and the movement tendency of *** pe-riodicity analysis shows that the 3 coordinate components（N,E,U）have semi-annual and annual periodicity,and the periodicity of U direction is more obvious than that of the other *** model of "white noise+flicker noise" is preferred to describe the reference station noise series according to the noise *** the movement of TJCORS is *** has a movement tendency towards southeast *** vertical displace-ment velocity of the 12 stations is from-0.05mm/a to-41.29mm/*** the end,the results of TJCORS and the leveling are compared to prove that the former results are of *** comparison shows that the vertical displacements gained by the two methods are identical.

关键词： TJCORS BERNESE software periodicity analysis spectral analy-sis vertical displacement

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