Bivariate median filters: new definitions and properties

The authors present some new ideas for defining bivariate median filters, which can in principle also be extended to p-variate data for p> 2. Sensors or channels were used to obtain information about a signal waveform. The authors begin with a brief review of some of the key definitions and properties which have been established so far for bivariate and p-variate filters of the median type. The authors examine one simple definition of the bivariate median which can be useful in defining bivariate filters. This is then extended to define a class of bivariate medians for data points which is based directly on symmetry arguments. Some simulation results and examples illustrating the potential of filters based on these definitions are presented