Abstract
Nonlinear processing techniques are very important tools in signal and image processing. One of the most significant classes is based on order statistics, which depends on data sorting algorithm. The sorting algorithm is very time consuming and intractable for vector data. Therefore, it is extremely urgent to put forward a fast algorithm to compute the r-th order statistics without sorting operation. The ITM and ITTM filter proposed an iteration algorithm to approach the median, from the mean. It is reasonab to generalize to the other order statistics by building a new data set Xp which is composed by the elements of the original set X. It makes the r-th order statistics of X to be the median of Xp. Then, estimating the median of the new set Xp by the ITTM algorithm, the output is estimation value of x(r).
Published Version
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