Title :
A design procedure for oversampled nonuniform filter banks with perfect-reconstruction
Author :
Mansour, Mohamed F.
Author_Institution :
Texas Instrum. Inc., Dallas, TX, USA
Abstract :
We describe a time-domain procedure for designing the synthesis filters of perfect-reconstruction oversampled filter banks. A condition matrix is derived from the basic magnitude distortion and aliasing canceling conditions and we derive the necessary and sufficient conditions for perfect reconstruction. The formulation is general for any decimation scenario, but it is particularly useful with nonuniform decimation. Further, the condition matrix in the proposed design model is in general rectangular and has a nonzero null-space which allows for design optimization.
Keywords :
channel bank filters; circuit optimisation; matrix algebra; signal sampling; time-domain analysis; aliasing canceling condition; condition matrix; design optimization; magnitude distortion; nonuniform decimation; nonzero null-space; oversampled nonuniform filter bank design; perfect reconstruction oversampled filter banks; synthesis filters; time-domain procedure; Adaptive filters; Delay; Filter banks; Filtering theory; Finite impulse response filter; Frequency synthesizers; Null space; filter banks; nonuniform decimation; nullspace; optimization; oversampling;
Conference_Titel :
Acoustics, Speech and Signal Processing (ICASSP), 2011 IEEE International Conference on
Conference_Location :
Prague
Print_ISBN :
978-1-4577-0538-0
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2011.5946815
