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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 6
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Original Articles

Sampling theorem and multi-scale spectrum based on non-linear Fourier atoms

Qiuhui Chen School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510420, P. R. China; Department of Mathematics, University of Aveiro, Aveiro 3810-193, Portugal
&
Tao Qian Department of Mathematics, University of Macau, Macao via Hong Kong, ChinaCorrespondence[email protected]
Pages 903-919 | Received 01 Apr 2009, Accepted 07 May 2009, Published online: 05 Aug 2009

Citations (15)

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Youfa Li, Qiuhui Chen, Tao Qian & Yi Wang. (2014) Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions. Applicable Analysis 93:2, pages 305-315.
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Articles from other publishers (14)

Eckhard Hitzer. 2023. Quaternionic Integral Transforms. Quaternionic Integral Transforms 107 148 .
Eckhard Hitzer. 2023. Quaternionic Integral Transforms. Quaternionic Integral Transforms 1 58 .
Xiaoxiao Hu & Kit Ian Kou. (2022) Sampling formulas for non-bandlimited quaternionic signals. Signal, Image and Video Processing 16:6, pages 1559-1567.
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Youfa Li, Yanfen Huang & Chunxu Zhou. (2021) Reconstruction of spline spectra-signals from generalized sinc function by finitely many samples. Banach Journal of Mathematical Analysis 15:2.
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Zhifang Ke, Wei Wei, Qingdong Yan & Cheng Liu. (2019) Torque Fluctuation in Hydraulic Torque Converter. Torque Fluctuation in Hydraulic Torque Converter.
Youfa Li, Honglei Yang, Jing Shang & Shouzhi Yang. (2018) Recovery of Riesz transform of functions in Sobolev space by wavelet multilevel sampling. Mathematical Methods in the Applied Sciences 41:11, pages 4227-4243.
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Bruce W. Suter & Yi Wang. (2016) Sparse Representation with Nonlinear Fourier Atoms. Advances in Data Science and Adaptive Analysis 08:02, pages 1650007.
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Qiuhui Chen, Luoqing Li & Yi Wang. (2014) Amplitudes of mono-component signals and the generalized sampling functions. Signal Processing 94, pages 255-263.
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Youfa Li. (2013) Sampling approximation by framelets in Sobolev space and its application in modifying interpolating error. Journal of Approximation Theory 175, pages 43-63.
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QiuHui Chen, Tao Qian & YouFa Li. (2013) Shannon-type sampling for multivariate non-bandlimited signals. Science China Mathematics 56:9, pages 1915-1934.
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QiuHui Chen, LuoQing Li & Helmuth Malonek. (2012) The construction of generalized B-spline low-pass filters related to possibility density. Science China Mathematics 55:12, pages 2481-2491.
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Qiuhui Chen & Charles A. Micchelli. (2011) The Bedrosian Identity for Functions Analytic in a Neighborhood of the Unit Circle. Complex Analysis and Operator Theory 6:3, pages 781-798.
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Qiuhui Chen, Tao Qian, Guangbin Ren & Yi Wang. (2011) B-splines of Blaschke product type. Computers & Mathematics with Applications 62:10, pages 3669-3681.
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Yue-Lin Liu, Kit-Ian Kou & Io-Tong Ho. (2010) New sampling formulae for non-bandlimited signals associated with linear canonical transform and nonlinear Fourier atoms. Signal Processing 90:3, pages 933-945.
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