Title : 
A simple formula for the variance of the median filter output with Laplacian input
         
        
            Author : 
Lee, Yong-Hwan ; Tantaratana, Sawasd
         
        
            Author_Institution : 
Codex Corp., Mansfield, MA, USA
         
        
        
        
        
            fDate : 
4/1/1991 12:00:00 AM
         
        
        
        
            Abstract : 
An approximation formula for the variance of the output of the median filter when the input is a sequence of independent and identically distributed random variables with Laplacian probability density function is proposed. Numerical results show that the proposed formula agrees very well with the exact results for a wide range of N
         
        
            Keywords : 
approximation theory; filtering and prediction theory; filters; Laplacian input; Laplacian probability density function; approximation formula; identically distributed random variables; independent variables; median filter output; output variance; Density functional theory; Distribution functions; Filters; Image processing; Laplace equations; Radio access networks; Random variables; White noise;
         
        
        
            Journal_Title : 
Signal Processing, IEEE Transactions on