Experimental study on wavelet-like decomposition based on filtering in domains of discrete trigonometric transforms

In this paper a new scheme based on the wavelet type decomposition-reconstruction is proposed and experimentally verified. Instead of typical filters, i.e., those referring to the Fourier representation, half-band filters based on the discrete trigonometric transforms (DTTs) are used. A comparison with the standard approach has been performed and the differences are indicated. A perfect reconstruction condition is formulated for the considered filtering systems and illustrated with an example. The comparative study is supported by two examples of one level 2D image decomposition.