Abstract-A new reconfigurable filter bank architecture based on frequency response masking (FRM) was recently proposed for software defined radio (SDR) channelization. However, in previous works all the subfilters were designed separately, which makes the solutions suboptimal. In this paper, we propose an improved design method, which takes all desired reconfiguration modes into consideration. The proposed method takes two steps: firstly an initial solution is obtained by separately designing all the subfilters as in previous works, and then the initial solution is updated by iteratively solving a semidefinite programming (SDP) problem. Simulation results demonstrate that the proposed method offers significantly lower approximation errors compared to the conventional design method.Keywords-Frequency response masking (FRM); software radio channelization; reconfigurable filter banks; semidefinite programming (SDP).