Time-Frequency Synthesis of Linear Signal Spaces

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


So far, we have considered the TF analysis of linear signal spaces by means of the WD of a linear signal space. In this chapter, we present a framework and a method for the optimum TF synthesis of linear signal spaces using the WD. The synthesis problem is formulated as finding the space with optimum localization in a given region of the TF plane. In other words, all signals of the optimum space are effectively located inside the given TF region, in such a manner that the TF region is “filled energetically” by the space while only a minimum amount of space energy leaks to the outside of the TF region. Mathematically, this synthesis problem can be formulated as a minimization of the space’s TF localization error as introduced in the previous chapter.


Orthonormal Basis Optimum Dimension Synthesis Problem Signal Space Optimum Space 
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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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