Analysis of Dyadic Difference and Its Application in Walsh Transform

The new notion of dyadic difference with respect to the Walsh transform is introduced here. It is followed by the dyadic difference equations, some solutions and the dyadic difference filters. Hence using only the input data, we can analyze and predict some results of the output of the Walsh transform. The dyadic difference filter in sequency has the same appearance as a conventional high-pass filter. The effect of the dyadic differ­ ence filter on TV images also is shown.