Dirac's Representation Theory as a Framework for Signal Theory: II. Infinite Duration and Continuous Signals

@article{Gersten1998DiracsRT,
  title={Dirac's Representation Theory as a Framework for Signal Theory: II. Infinite Duration and Continuous Signals},
  author={Alexander Gersten},
  journal={Annals of Physics},
  year={1998},
  volume={262},
  pages={73-104}
}
  • A. Gersten
  • Published 11 November 1999
  • Mathematics
  • Annals of Physics
Abstract In the preceding paper we dealt with discrete signals of finite duration. Here we generalize previous results and demonstrate that the Dirac representation theory can be effectively adjusted and applied to continuous or discrete signals of infinite time duration. The role of the identity and projection operators is emphasized. The sampling theorem is viewed from the point of view of orthogonal physical states. An orthogonal basis which spanned the time space ceases to be orthogonal and… 

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