On Uniform Truncation Error Bounds and Aliasing Error for Multidimensional Sampling Expansion

Jingfan Long, Fang Gensun

Type: Article

Publication Date: 2003-05-01

Citations: 16

DOI: https://doi.org/10.1007/bf03549388

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Sampling Theory Signal Processing and Data Analysis - View

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+ PDF Chat	Uniform Bounds of Aliasing and Truncated Errors in Sampling Series of Functions from Anisotropic Besov Class	2013	Peixin Ye Yongjie Han
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Citing (18)

Action	Title	Year	Authors
+ PDF Chat	The discrete nature of the Paley-Wiener spaces	1995	Carolyn Eoff
+	Uniform Bounds for Sampling Expansions	1998	Xin Min Li
+	Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview	1992	P. L. Butzer R. L. Stens
+	Besov regularity for elliptic boundary value problems	1997	Stephan Dahlke Ronald DeVore
+	Truncation error bounds for the cardinal sampling expansion of band-limited signals	1982	Stamatis Cambanis E. Masry
+ PDF Chat	Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's ($A_p$) condition	1997	Yurii Lyubarskii Kristian Seip
+	On the truncation error of the cardinal sampling expansion	1976	Frederick J. Beutler
+	Sampling approximation of continuous functions with multidimensional domain (Corresp.)	1982	W. Splettstößer
+	Whittaker–Kotelnikov–Shannon Sampling Theorem and Aliasing Error	1996	Fang Gensun
+	Lectures on entire functions	1996	B. Yu. Levin
+	Magnitude of the truncation error in sampling expansions of band-limited signals	1982	P. L. Butzer W. Engels U. Scheben
+	Bounds for truncation error in sampling expansions of finite energy band-limited signals (Corresp.)	1975	H. Piper
+ PDF Chat	Sampling-50 years after Shannon	2000	Michaël Unser
+	The sampling theorem, LqT-approximation and ϵ-dimension	1992	Ðinh Dũng
+	Acta mathematicae applicatae Sinica	1984	Zhongguo shu xue hui Zhongguo ke xue yuan
+	Optimal Recovery of Anisotropic Besov Classes	2000	Jiang Yanjie
+	Approximation of Functions of Several Variables and Imbedding Theorems	1975	Sergei Mihailovic Nikol’skii
+	Sampling Theory in Fourier and Signal Analysis	1996	John R. Higgins