Title :
Formula for the joint distribution of stack filters
Author_Institution :
Lab. of Inf. Process. Sci., Helsinki Univ. of Technol., Espoo, Finland
Abstract :
A 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.<>
Keywords :
correlation theory; digital filters; filtering and prediction theory; statistical analysis; autocorrelation function; independent random variables; input signal; joint distribution function; median filter; output; samples; stack filters; Autocorrelation; Boolean functions; Distribution functions; Filters; Information processing; Random variables; Signal processing; Stacking;
Journal_Title :
Signal Processing Letters, IEEE
