An effective design structure for 2-D analysis/synthesis filter banks with high computational efficiency are proposed. The system involves a 2-D single-sideband (SSB) system, which is developed in terms of a 2-D separable weighted overlap-add (OLA) method of analysis/ synthesis and enables overlap between adjacent spatial domain windows. This implies that spatial domain aliasing introduced in the analysis is canceled in the synthesis process and provides perfect reconstruction. Achieving perfect reconstruction, each individual analysis/synthesis filter bank with SSB modulation is satisfied to be a cosine modulated version of a common baseband filter. Since a cosine-modulated structure is imposed in the design procedure, the system can reduce the number of parameters required to achieve the best computational efficiency. It can be shown that the resulting cosine-modulated filters are very efficient in terms of computational complexity and are relatively easy to design. Moreover, this design approach can be imposed on the system with relatively low reconstruction delays.
C. P. Liu, C. P. Liu,
"Two-dimensional perfect reconstruction analysis/synthesis filter bank system with very high computational efficiency," Optical Engineering 36(7), (1 July 1997). https://doi.org/10.1117/1.601403