Abstract
A new estimator for the probability density function of a signal observed over a finite observation interval is proposed. The estimator linearly interpolates adjacent samples and accommodates the presence of probability masses. The analysis is carried out in the fraction-of-time (FOT) probability framework where signals are modeled as single functions of time rather than sample paths of a stochastic process. Numerical results show the better performance of the proposed estimator with respect to the kernel-based estimator. Moreover, the usefulness of analyzing signals in the FOT framework is enlightened.
Original language | English (US) |
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Title of host publication | 2021 Systems of Signals Generating and Processing in the Field of on Board Communications |
Publisher | IEEE |
ISBN (Print) | 9780738130897 |
DOIs | |
State | Published - May 7 2021 |
Externally published | Yes |
Bibliographical note
KAUST Repository Item: Exported on 2022-07-01Acknowledged KAUST grant number(s): OSR-2019-CRG8-4057
Acknowledgements: The study was supported by state assignment of the Ministry of Science and Higher Education of the Russian Federation, research projects No. FSFF-2020-0015, and by the King Abdullah University of Science and Technology (KAUST) Office of Sponsored Research (OSR) under Award OSR-2019-CRG8-4057.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.