Title :
Stabilized algorithms for ill-posed problems in signal processing
Author :
Buyun, Zhang ; Dinghua, Xu ; Tangwei, Liu
Author_Institution :
Dept. of Electron. Eng., Nanjing Univ. of Sci. & Technol., China
Abstract :
In this paper we discuss two kinds of ill-posed problems in signal processing, that is, in detail, reconstructing compactly supported signals in the Fourier transform and solving the convolution equation with analytic kernel. Having analyzed the essential reason of ill-posedness for these problems, we present some stabilized algorithms, which cure the ill-posedness, to recover the approximate solution. Finally numerical experiments show the efficiency and fast convergence of these algorithms
Keywords :
Fourier transforms; approximation theory; convolution; numerical stability; signal reconstruction; Fourier transform; analytic kernel; approximate solution; compactly supported signal; convergence; convolution equation; ill-posed problems; numerical simulation; signal processing; signal reconstruction; stabilized algorithms; Algorithm design and analysis; Convolution; Equations; Fourier transforms; Image reconstruction; Kernel; Mathematical model; Signal analysis; Signal processing; Signal processing algorithms;
Conference_Titel :
Info-tech and Info-net, 2001. Proceedings. ICII 2001 - Beijing. 2001 International Conferences on
Conference_Location :
Beijing
Print_ISBN :
0-7803-7010-4
DOI :
10.1109/ICII.2001.982776
