Least squares design of three-dimensional filter banks using transformation of variables

The topic discussed here is the least-squares design of three-dimensional two-channel filter banks with quincunx sampling. The proposed algorithm uses a transformation of variables that reduces the original problem to designing filters with minimum stopband energy. We split the involved optimization into three steps, the first two consisting of convex problems. To prove the capability of our method we compare our results with another approach of the problem.