帶限信號外推問題新的解析解
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摘要: 本文給出能量有限帶限信號外推問題新的解析解,它比長球波函數(shù)展開法更為簡單?；谛碌慕馕鼋夤?給出了相應的算法和穩(wěn)定性判據(jù)。
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關鍵詞:
- 帶限信號; 外推; 解析解
Abstract: This paper proposes a novel method to obtain a simple analytical solution to extrapolation problem for band-limited signals, which is much easier than prolate spherical wave function expansion method. The corresponding algorithm for extrapolation is built with a criterion of rubustness. -
李衍達，常迥.信號重構理論及其應用.北京:清華大學出版社,1991, 29-44.[2]Klamer D M, Masry E. Polynomial interpolation of randomly spaced bandlimited functions and process, SIAM J. Appl. Math., 1982, 42(5): 1004-1019.[3]Chen W. A new extrapolation algorithm for band-limited signals using the regularization method, IEEE Trans. on SP, 1993, 41(3): 1048-1060.[4]Landau H J. Extrapolating a band-limited function from its samples taken in a finite interval,IEEE Trans[J].on Inform. Theory.1986, 32(4):464-470[5]Young M. Nonharmonic Fourier Analysis. New York: Academic Press, 1980, 105-108.[6]Wang Q(王橋)Regular and irregular sampling theorems of Shannons type in wavelet subspaces, Math. Appl., 1998, 11(3): 90-94.[7]Strohmer Th. On discrete band-limited signal extrapolation, Contemp. Math., 1995, 190: 323-337.[8]Dutt A, Gu M, Rokhlin V. Fast algorithms for polynomial interpolation integration and differen-[9]tiation, SIAM J. Numer. Anal., 1996, 33(5): 1689-1711. -
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