Design of gain optimized perfect reconstruction regular lattice filter banks

This paper considers perfect reconstruction lattice filter banks. When optimizing for coding gain the purpose is to find a simple perfect reconstruction structure with few multiplications and reasonable gain. We present such a system which also possesses a certain regularity when expanding from N to 2N channels. Results including both obtained gain and the number of filter multiplications and filter magnitude responses are presented. The results show that the system gives strange filter responses, but good coding gain considering the number of multiplications. The reason for obtaining high coding gain is that the system is nonunitary.