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Generalized Functions in Signal Theory

In: Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

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  • Friedrich Jondral

    (Universität Karlsruhe (T.H.), Institut für Nachrichtentechnik)

Abstract

Within a self-contained signal theory, generalized functions have to be taken into account, because without them notions like impulse response or transmission function cannot be defined. Starting from the requirements that have to be taken for a function space, if it should be suitable for a signal theory, generalized functions are introduced. Moreover, the connections between such a signal theory and the theory of white noise are discussed.

Suggested Citation

  • Friedrich Jondral, 2001. "Generalized Functions in Signal Theory," Springer Books, in: Luigi Accardi & Hui-Hsiung Kuo & Nobuaki Obata & Kimiaki Saito & Si Si & Ludwig Streit (ed.), Recent Developments in Infinite-Dimensional Analysis and Quantum Probability, pages 175-184, Springer.
    • Handle: RePEc:spr:sprchp:978-94-010-0842-6_12
    DOI: 10.1007/978-94-010-0842-6_12
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