An analysis of energy detector based on improved approximations of the chi-square distributions
Abstract Closed-form expressions for the detection probability, the false alarm probability and the energy detector constant threshold are derived using approximations of the central chi-square and non-central chi-square distributions. The approximations used show closer proximity to the original fu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-03-01
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| Series: | EURASIP Journal on Wireless Communications and Networking |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13638-021-01915-5 |
| _version_ | 1818667649898381312 |
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| author | Felipe G. M. Elias Evelio M. G. Fernández |
| author_facet | Felipe G. M. Elias Evelio M. G. Fernández |
| author_sort | Felipe G. M. Elias |
| collection | DOAJ |
| description | Abstract Closed-form expressions for the detection probability, the false alarm probability and the energy detector constant threshold are derived using approximations of the central chi-square and non-central chi-square distributions. The approximations used show closer proximity to the original functions when compared to the expressions used in the literature. The novel expressions allow gains up to 6% and 16% in terms of measured false alarm and miss-detection probability, respectively, if compared to the Central Limit Theorem approach. The throughput of cognitive network is also enhanced when these novel expressions are implemented, providing gains up to 9%. New equations are also presented that minimize the total error rate to obtain the detection threshold and the optimal number of samples. The analytical results match the results of the simulation for a wide range of SNR values. |
| first_indexed | 2024-12-17T06:23:47Z |
| format | Article |
| id | doaj.art-44a12e08f079471ca33c64154d3b97ef |
| institution | Directory Open Access Journal |
| issn | 1687-1499 |
| language | English |
| last_indexed | 2024-12-17T06:23:47Z |
| publishDate | 2021-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EURASIP Journal on Wireless Communications and Networking |
| spelling | doaj.art-44a12e08f079471ca33c64154d3b97ef2022-12-21T22:00:20ZengSpringerOpenEURASIP Journal on Wireless Communications and Networking1687-14992021-03-012021111810.1186/s13638-021-01915-5An analysis of energy detector based on improved approximations of the chi-square distributionsFelipe G. M. Elias0Evelio M. G. Fernández1Department of Electrical Engineering, Federal University of ParanaDepartment of Electrical Engineering, Federal University of ParanaAbstract Closed-form expressions for the detection probability, the false alarm probability and the energy detector constant threshold are derived using approximations of the central chi-square and non-central chi-square distributions. The approximations used show closer proximity to the original functions when compared to the expressions used in the literature. The novel expressions allow gains up to 6% and 16% in terms of measured false alarm and miss-detection probability, respectively, if compared to the Central Limit Theorem approach. The throughput of cognitive network is also enhanced when these novel expressions are implemented, providing gains up to 9%. New equations are also presented that minimize the total error rate to obtain the detection threshold and the optimal number of samples. The analytical results match the results of the simulation for a wide range of SNR values.https://doi.org/10.1186/s13638-021-01915-5Cognitive radioSpectrum sensingEnergy detector |
| spellingShingle | Felipe G. M. Elias Evelio M. G. Fernández An analysis of energy detector based on improved approximations of the chi-square distributions EURASIP Journal on Wireless Communications and Networking Cognitive radio Spectrum sensing Energy detector |
| title | An analysis of energy detector based on improved approximations of the chi-square distributions |
| title_full | An analysis of energy detector based on improved approximations of the chi-square distributions |
| title_fullStr | An analysis of energy detector based on improved approximations of the chi-square distributions |
| title_full_unstemmed | An analysis of energy detector based on improved approximations of the chi-square distributions |
| title_short | An analysis of energy detector based on improved approximations of the chi-square distributions |
| title_sort | analysis of energy detector based on improved approximations of the chi square distributions |
| topic | Cognitive radio Spectrum sensing Energy detector |
| url | https://doi.org/10.1186/s13638-021-01915-5 |
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