2D factorizable FIR principal component filter banks

There has been a growing interest in investigating signal-adaptive multirate filter banks. These filter banks are designed to match the statistical properties of input signals. In particular, one type of filter bank, the principal component filter bank (PCFB), minimizes the mean squared error between the input and the associated output when only a limited number of subbands are retained for reconstruction, hence they have the optimal energy compaction property. It has been proven that PCFBs maximize the theoretical coding gain (TCG) of the system. While PCFBs have the most energy compactness and attain the maximum TCG, it is not feasible to implement them in practice since they are IIR with no closed form. This paper deals with FIR filter banks which maximize the TCG