DIGITAL-FILTERS AS ABSOLUTE NORM REGULARIZERS

被引：87
作者：
ALLINEY, S
机构：
[1] Istituto di Matematica Generale e Finanziaria, Universita di Bologna, 40126, Bologna
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 1992年 / 40卷 / 06期
关键词：
D O I：
10.1109/78.139258
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
We present a variational formulation of the digital filtering problem, based on a certain regularizing functional. In particular, we consider the special case where the regularizing functional is defined by means of the l1-norm, and we present a characterization of its minima. Furthermore, we show that, for a certain class of signals, one solution to the regularization problem can be obtained by means of a suitable recursive median filter. Some examples and a possible extension of the variational approach are also discussed.
引用
收藏
页码：1548 / 1562
页数：15
相关论文
共 22 条
[1]  
ALLINEY S, 1981, ALTA FREQ, V50, P53
[2]   EXTENDED VARIATIONAL FORMULATIONS AND FE MODELS FOR NONLINEAR BEAMS UNDER NONCONSERVATIVE LOADING [J].
ALLINEY, S ;
TRALLI, A .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1984, 46 (02) :177-194
[3]  
[Anonymous], 1983, LEAST ABSOLUTE DEVIA
[4]   STACK FILTERS AND THE MEAN ABSOLUTE ERROR CRITERION [J].
COYLE, EJ ;
LIN, JH .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1988, 36 (08) :1244-1254
[5]   MINIMUM MEAN ABSOLUTE ERROR STACK FILTERING WITH STRUCTURAL CONSTRAINTS AND GOALS [J].
GABBOUJ, M ;
COYLE, EJ .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1990, 38 (06) :955-968
[6]   A THEORETICAL-ANALYSIS OF THE PROPERTIES OF MEDIAN FILTERS [J].
GALLAGHER, NC ;
WISE, GL .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1981, 29 (06) :1136-1141
[7]   A SMOOTHNESS PRIORS TIME-VARYING AR COEFFICIENT MODELING OF NONSTATIONARY COVARIANCE TIME-SERIES [J].
KITAGAWA, G ;
GERSCH, W .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (01) :48-56
[8]  
Laurent P.-J., 1972, APPROXIMATION OPTIMI
[9]  
LIN JH, 1990, IEEE T ACOUST SPEECH, V38, P938, DOI 10.1117/12.19608
[10]  
MIKHLIN SG, 1971, NUMERICAL PERFORMANC
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