Order statistic filter banks

Filter banks play a major role in multirate signal processing where these have been succesfully used in a variety of applications. In the past, filter banks have been developed within the framework of linear filters. In this paper, we introduce filter banks which exploit the input signal spectral characteristics as well as the signal´s rank-ordering structure. Order-Statistic filter basks can lead to significant gains over linear filter banks, particularly when the input signals contain abrupt changes and details, as is common with image and video signals. It is shown that OS filter banks subsume linear filter banks and that the later are obtained by simple linear transformations of the former. The methods derived here can be utilized with uniform or non-nonuniform subband filter banks