Design of perfect-reconstruction filterbanks
The MATLAB program prfib.m referenced in
Doblinger, G.; , “A Fast Design Method for Perfect-Reconstruction Uniform Cosine-Modulated Filter Banks,” Signal Processing, IEEE Transactions on , vol.60, no.12, pp.6693-6697, Dec. 2012
URL of PDF at IEEE Xplore: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6294460&isnumber=6357313
is available here. Note that this program can be used to design both critically sampled and oversampled cosine-modulated filter banks (see demo file test_prfib.m contained in prfib.zip).
In this correspondence, we present a new and fast design algorithm for perfect-reconstruction (PR), maximally decimated, uniform, cosine-modulated filter banks. Perfect reconstruction is obtained within arithmetic machine precision. The new design does not need numerical optimization routines and is significantly faster than a competing method based on second-order cone programming (SOCP). The proposed design algorithm finds the optimum solution by iteratively solving a quadratic programming problem with linear equality constraints. By a special modification of the basic algorithm, we obtain PR filter banks with high stopband attenuations. In addition, fast convergence is verified by designing PR filter banks with up to 128 channels.
- IEEE Terms Algorithm design and analysis , Finite impulse response filter , Linear programming , Optimization , Prototypes , Vectors
- Author Keywords Cosine-modulated filter banks , iterative quadratic programming , perfect-construction filter banks , second-order cone programming