Formula for the Joint Distribution of Stack Filters

被引:7
作者
Yli-Harja, Olli [1 ]
机构
[1] Helsinki Univ Technol, Lab Informat Proc Sci, FIN-02150 Espoo, Finland
关键词
Autocorrelation functions - Joint distribution - Stack filters;
D O I
10.1109/97.319025
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
In this letter, formula for the joint distribution function of two stack filters with common arguments is derived. Using this formula, the joint distribution function of any two samples in the output of a stack filter can be obtained. Here, it is presumed that the input signal is modelled as a sequence of independent random variables. This also allows analytic determination of the autocorrelation function of the output of an arbitrary stack filter.
引用
收藏
页码:129 / 130
页数:2
相关论文
共 5 条
[1]  
David H. A., 1981, ORDER STAT
[2]  
JUSTUSSON BI, 1981, TOPICS APPL PHYS 2 D
[3]   MORPHOLOGICAL FILTERS .2. THEIR RELATIONS TO MEDIAN, ORDER-STATISTIC, AND STACK FILTERS [J].
MARAGOS, P ;
SCHAFER, RW .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1987, 35 (08) :1170-1184
[4]   STACK FILTERS [J].
WENDT, PD ;
COYLE, EJ ;
GALLAGHER, NC .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1986, 34 (04) :898-911
[5]   ANALYSIS OF THE PROPERTIES OF MEDIAN AND WEIGHTED MEDIAN FILTERS USING THRESHOLD LOGIC AND STACK FILTER REPRESENTATION [J].
YLIHARIA, O ;
ASTOLA, J ;
NEUVO, Y .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1991, 39 (02) :395-410