Oversampled modulated filter banks

Authors

Helmut Bölcskei and Franz Hlawatsch

Reference

Chapter in "Gabor Analysis and Algorithms: Theory and Applications", H. G. Feichtinger and T. Strohmer, eds., Birkhäuser, pp. 295-322, 1998.

[BibTeX, LaTeX, and HTML Reference]

Abstract

Oversampled filter banks (FBs) offer increased design freedom and noise immunity as compared to critically sampled FBs. Since these advantages come at the cost of greater computational complexity, oversampled FBs allowing an efficient implementation are of particular interest. In this chapter, we discuss oversampled DFT FBs and oversampled cosine modulated FBs which allow efficient FFT- or DCT/DST-based implementations. We provide conditions for perfect reconstruction and a frame-theoretic analysis. We show that, concerning both perfect reconstruction properties and frame-theoretic properties, oversampled cosine modulated filter banks are closely related to DFT filter banks with twice the oversampling factor.

Keywords

Oversampled DFT filter banks, oversampled cosine modulated filter banks, Gabor expansions, Weyl-Heisenberg frames, DFT, DCT/DST, polyphase transform

Download this document:

This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.