A new approach to synthesize sharp 2D half-band filters

The frequency-response masking method is an efficient technique for the realization of sharp, one-dimensional filters. Recently, this technique has been extended to the synthesis of sharp two-dimensional (2D) filters. While it has been demonstrated that sharp diamond-shaped filters may be realized efficiently, the techniques previously presented cannot be applied to the synthesis of 2D half-band filters. In this brief we propose a modification of the technique for the synthesis of sharp 2D half-band diamond-shaped filters. In addition, by exploiting the special properties of 2D half-band filters, the complexities of the band-edge shaping and masking filters are further reduced. This results in a very efficient implementation of 2D half-band diamond-shaped filters.