The Windowed Fourier Transform

Pierre Brémaud ()
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Pierre Brémaud: École Polytechnique Fédérale de Lausanne

Chapter D1 in Mathematical Principles of Signal Processing, 2002, pp 175-183 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-1-4757-3669-4_12

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