Signals Defined on ℝ

  • Gianfranco Cariolaro


In Chap.  2, continuous-time signals were introduced and developed following a classical approach. In this chapter they are reconsidered as signals defined on ℝ, following the UST. The target is twofold: (1) to review this fundamental class of signals and to get a deeper insight into it, and (2) to introduce concepts that are specific to this signal class. For example, differentiation and integration, which are not possible in a discrete domain, are developed. Also, for signals defined on ℝ, the Laplace transform, which plays a role similar to the Fourier transform, and the Hilbert transform are introduced.


Impulse Response Laplace Transform Convergence Region Gaussian Pulse Hilbert Transform 
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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.University of PadovaPadovaItaly

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