Title :
On the Optimization of Oversampled DFT Filter Banks
Author :
Mansour, Mohamed F.
Author_Institution :
Texas Instrum. Inc., Dallas, TX
fDate :
6/1/2007 12:00:00 AM
Abstract :
We use the general formula of the synthesis window of the oversampled discrete Fourier transform filter bank in terms of the minimum-norm solution and the null space of the perfect reconstruction condition matrix to optimize the window design. We give closed-form solutions to different optimization criteria, e.g., minimum out-of-band power, minimum quantization-error, and minimum window order
Keywords :
channel bank filters; discrete Fourier transforms; matrix algebra; signal reconstruction; signal sampling; discrete Fourier transform; minimum-norm solution; oversampled DFT filter bank optimization; perfect reconstruction condition matrix; Closed-form solution; Design optimization; Discrete Fourier transforms; Filter bank; Fourier transforms; Instruments; Null space; Prototypes; Signal synthesis; Sufficient conditions; Discrete Fourier transform (DFT) filter bank; null-projection; oversampling; synthesis window;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2006.887839
