Time-Frequency Filters and Time-Frequency Expansions

  • Franz Hlawatsch
Part of the The Kluwer International Series in Engineering and Computer Science book series (SECS, volume 440)


The separation of signal components occupying effectively disjoint regions of the TF plane is a fundamental problem of TF signal processing that is encountered in many applications. A related problem is the parsimonious representation (expansion) of signals located in a given TF region. In this chapter, we propose solutions to both problems. These solutions are based on the optimum space synthesis (eigenspaces) described in the previous chapter. A “TF projection filter” for signal separation is obtained as the orthogonal projection operator on the eigenspace of the given TF pass region, and a “TF expansion” is based on any orthonormal basis of the eigenspace of the given TF support region.


Filter Bank Pass Region Residual Space Orthogonal Projection Operator Weyl Symbol 
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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Franz Hlawatsch
    • 1
  1. 1.Vienna University of TechnologyAustria

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