This paper proposed a novel fast algorithm and common structure design of analysis and synthesis quadrature mirror filterbanks (AQMF, SQMF) on the spectral band replication (SBR) in digital radio mondiale (DRM). Based on recent Lai et al.'s concept, an extended issue is addressed from the view point of recursively computing the AQMF and SQMF coefficients. The proposed method also combines with the lifting scheme algorithm and canonical signed digit (CSD) multiplication. The results show that the proposed AQMF algorithm has a great improvement on computational complexity. For the recursive kernel computation (N=64), the proposed method has, respectively, 46.38% of multiplication reductions and 20.46% of addition reductions which can cover the shortcoming of the proposed SQMF. The overall complexity of the proposed algorithm (N=64) requires 1984 real multiplication and 128 CSD multiplication, 4704 real addition and 192 CSD addition, and 113 coefficients. It would be more efficient and more suitable than previous works for DRM applications.