Computation of reconstruction function for samples in shift-invariant spaces

• Autorzy: Zhaoxuan Z. , Houjun W. , Zhigang W.
• Języki publikacji: EN

Abstrakty

EN

We address the problem of reconstructing a class of sampled signals which is a member of shift-invariant spaces. In the traditional method, the reconstruction was obtained by first processing the samples by a digital correction filter, then forming linear combinations of generated functions shifted with period T. In order to eliminate the digital correction filter, we propose a computational approach to the reconstruction function. The reconstruction was directly acquired by forming linear combinations of a set of reconstruction functions. The key idea is to obtain a matrix equation by means of oblique frame theory. The reconstruction functions are obtained by solving the matrix equation. Finally, the computational approach is applied, respectively, to reconstruction of a digitizer which samples the signal by derivative sampling or periodically non-uniform sampling technology. The results show that the method is effective.

Słowa kluczowe

EN

Hilbert space; shift-invariant spaces; sampling; frame; reconstruction function

• Wydawca: Komitet Metrologii i Aparatury Naukowej PAN
• Czasopismo: Metrology and Measurement Systems
• Rocznik: 2009
• Tom: Vol. 16, nr 4
• Strony: 535--544
• Opis fizyczny: Bibliogr. 14 poz., rys., wykr., wzory

Twórcy

autor

Zhaoxuan Z.

autor

Houjun W.

autor

Zhigang W.

• University of Electronic Science and Technology of China, The College of Automation Engineering, Chengdu, Sichuan, 611731, China,

Bibliografia

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