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

Authors

Helmut Bölcskei and Franz Hlawatsch

Reference

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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Abstract

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.

Keywords

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

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