New L2 objective functions for the design of quadrature-mirror-filter (QMF) banks are proposed. They are based on the derivative information of the reconstruction error. Simple and explicit matrix-form expressions for the proposed objective functions are derived. An efficient design method is proposed by incorporating a separability technique into the derived optimality conditions on prototype filters. The proposed method only needs to solve linear equations iteratively without nonlinear optimization. Design examples demonstrate that good low-delay QMF banks and linear-phase QMF banks can be obtained after a few iterations. Compared to the conventional approach, the new approach leads to QMF banks with larger stopband attenuation and smaller reconstruction errors.
|Journal||Proceedings - IEEE International Symposium on Circuits and Systems|
|State||Published - 1 Jan 1998|
|Event||Proceedings of the 1998 IEEE International Symposium on Circuits and Systems, ISCAS. Part 5 (of 6) - Monterey, CA, USA|
Duration: 31 May 1998 → 3 Jun 1998