Credibility Test for Frequency Estimation of Sinusoid Using Chebyshev’s Inequality
Joint Authors
Xu, Lizhong
Guobing, Hu
Yan, Gao
Shanshan, Wu
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Estimation of sinusoid frequency is a key research problem related to radar, sonar, and communication systems.
The results of numerous investigations on frequency estimation have been reported in the literature.
Nevertheless, to the best of our knowledge, none of them have dealt with credibility evaluation, which is used to decide whether an individual frequency estimate of the sinusoid is accurate or not.
In this study, the credibility problem is modeled as a hypothesis test based on Chebyshev’s inequality (CI).
The correlation calculated from the received signal and the reference signal generated according to the frequency estimate is used as a test statistic.
A threshold is determined based on CI, and the analytical expression for the frequency estimation credibility detection performance is derived.
Simulations show that the proposed method performs well even at low signal-to-noise ratios.
American Psychological Association (APA)
Guobing, Hu& Xu, Lizhong& Yan, Gao& Shanshan, Wu. 2014. Credibility Test for Frequency Estimation of Sinusoid Using Chebyshev’s Inequality. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044142
Modern Language Association (MLA)
Guobing, Hu…[et al.]. Credibility Test for Frequency Estimation of Sinusoid Using Chebyshev’s Inequality. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1044142
American Medical Association (AMA)
Guobing, Hu& Xu, Lizhong& Yan, Gao& Shanshan, Wu. Credibility Test for Frequency Estimation of Sinusoid Using Chebyshev’s Inequality. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044142
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044142