On the shape and duration of FM clicks
Lindgren, Georg LU
(1983)
In IEEE Transactions on Information Theory
29(4).
p.536-543
- Abstract
- 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... (More)
- 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1215223
- author
- Lindgren, Georg
LU
- organization
- publishing date
- 1983
- type
- Contribution to journal
- publication status
- published
- subject
- in
- IEEE Transactions on Information Theory
- volume
- 29
- issue
- 4
- pages
- 536 - 543
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:0020781650
- ISSN
- 0018-9448
- language
- English
- LU publication?
- yes
- id
- 1287e83f-66a9-4c83-9956-76fa4b2347e1 (old id 1215223)
- alternative location
- http://ieeexplore.ieee.org/iel5/18/22733/01056712.pdf?tp=&isnumber=22733&arnumber=1056712&punumber=18
- date added to LUP
- 2016-04-01 16:55:13
- date last changed
- 2025-10-14 11:24:24
@article{1287e83f-66a9-4c83-9956-76fa4b2347e1,
abstract = {{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.}},
author = {{Lindgren, Georg}},
issn = {{0018-9448}},
language = {{eng}},
number = {{4}},
pages = {{536--543}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Transactions on Information Theory}},
title = {{On the shape and duration of FM clicks}},
url = {{http://ieeexplore.ieee.org/iel5/18/22733/01056712.pdf?tp=&isnumber=22733&arnumber=1056712&punumber=18}},
volume = {{29}},
year = {{1983}},
}