Design of DFT modulated filter banks via linearizing iterative approach
Peng‐Lang Shui · Journal of Circuits and Systems · 2012
In this paper,the design of the single-prototype DFT modulated filter bank is investigated.The design is formulated as an unconstrained optimization whose objective function is the weighted sum of the transfer function distortion and the aliasing distortion of the filter bank,and the stopband energy of the prototype filter(PF).In terms of the linearization approach,the PF is iteratively solved,and at each iteration its coefficients are obtained analytically.Numerical examples show that compared with the conventional algorithm,the DFT modulated filter bank designed by the proposed algorithm achieves about 40dB improvement on the reconstruction error and about 2dB improvement on the stopband attenuation.Moreover,the proposed algorithm has much lower computational cost than the traditional method.