The Windowed Fourier Transform

  • Pierre Brémaud
Chapter

Abstract

Fourier analysis, well as wavelet analysis have an intrinsic limitation, which is contained in the uncertainty principle. In order to state this result, we need a definition of the “width” of a function. Here is the one that suits our purpose.

Keywords

Uncertainty Principle Inversion Formula Rectangular Window Hermitian Product Parseval Identity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Pierre Brémaud
    • 1
    • 2
  1. 1.École Polytechnique Fédérale de LausanneSwitzerland
  2. 2.INRIA/École Normale SupérieureFrance

Personalised recommendations