Title On the shape and duration of FM clicks
Authors Georg Lindgren
Alternative Location http://ieeexplore.ieee.org/..., Restricted Access
Publication IEEE Trans. Inform. Theory
Year 1983
Volume 29
Issue 4
Pages 536 - 543
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS
Abstract English The stochastic behavior of FM-clicks in an unmodulated carrier plus noise is studied in terms of the conditional behavior of stationary Gaussian processes after level crossings. By a systematic use of thc Slepian model processes it is shown that the normalized shape of a positive FM-click approaches a certain rational function with simple random coefficients as the carrier-to-noise ratio tends to infinity. The outcomes of this random function illustrate the typical click shapes that have been observed experimentally. The distribution of the duration of a click is studied by means of similar model processes, and its exact asymptotic density is derived. It is seen to be very similar to a Maxwell density, although of smaller order for large durations.
ISBN/ISSN/Other ISSN: 0018-9448

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