Oversampled filter banks: Optimal noise shaping, design freedom, and noise analysis


Helmut Bölcskei and Franz Hlawatsch


Proc. of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Munich, Germany, Vol. 3, pp. 2453-2456, Apr. 1997.

DOI: 10.1109/ICASSP.1997.599570

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We show that oversampled filter banks (FBs) offer more design freedom and less noise sensitivity than critically sampled FBs. We provide a parameterization of all synthesis FBs satisfying perfect reconstruction for a given oversampled analysis FB, and we derive bounds and expressions for the variance of the reconstruction error due to noisy subband signals. Finally, we introduce noise shaping in oversampled FBs and calculate the optimal noise shaping system.


Oversampled filter banks, design freedom, noise reduction, noise shaping

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