BAND-LIMITED RATIONAL MODELS FOR SIGNAL RECONSTRUCTION

被引：1
作者：
ARUN, KS
DAVOUST, JE
DESAI, V
机构：
[1] Coordinated Science Laboratory, College of Engineering, University of Illinois at Urbana Champaign, Urbana, 61801-3082, IL
[2] Bell Communications Research, Piscataway, 08855, NJ
[3] Motorola, Arlington Heights, 60004, IL
来源：
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES | 1990年 / 15卷
关键词：
BAND-LIMITED EXTRAPOLATION; RATIONAL MODELS; SIGNAL RECONSTRUCTION; HANKEL MATRIX; SINGULAR VALUE DECOMPOSITION;
D O I：
10.1007/BF02812036
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A rational model is proposed for reconstruction of bandlimited signals from successive observations, bandlimits, and knowledge of signal peak location. The parameters of the model may be estimated from the singular vectors of a certain double-Hankel matrix constructed from this information. In contrast to the currently popular minimum-energy approach, which has limited spectral resolution and is sensitive to noise, high spectral resolution is possible with the rational model because of its pole-zero nature. To reduce the sensitivity of the rational reconstruction to noise and modelling errors, rank reduction of the double-Hankel matrix via singular value decomposition is suggested. The singular values of the matrix provide estimates of the error in modelling the data with rational models of different orders, and so the singular value distribution can be used to select model order.
引用
收藏
页码：177 / 196
页数：20
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