Property of circular convolution for subband image coding

One of the problems with subband image coding is the increase in image sizes caused by filtering. To solve this, it has been proposed to process the filtering by transforming an input sequence into a periodic one. Then, filtering is implemented by circular convolution. Although this technique solves the problem, there are very strong restrictions, i.e. limitations on the filter type and on the filter bank structure. The development of this technique is presented. Consequently, any type of linear-phase finite impulse response (FIR) filter and any structure of filter bank can be used