Low‐complexity BER computation for coherent detection of orthogonal signals
Abstract The bit error rate (BER) computation for coherently detected orthogonal signals in additive white Gaussian noise requires numerical integration, which can be cumbersome in low‐complexity devices. Here, a BER computation approach that circumvents the need for repeated numerical integration i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-06-01
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| Series: | Electronics Letters |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/ell2.12163 |
| _version_ | 1811210258288214016 |
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| author | L. Rugini G. Baruffa |
| author_facet | L. Rugini G. Baruffa |
| author_sort | L. Rugini |
| collection | DOAJ |
| description | Abstract The bit error rate (BER) computation for coherently detected orthogonal signals in additive white Gaussian noise requires numerical integration, which can be cumbersome in low‐complexity devices. Here, a BER computation approach that circumvents the need for repeated numerical integration is proposed. First, a low‐complexity BER approximation formula is selected, with unknown parameters to be determined. Second, this letter determines the unknown parameters by fitting the BER approximation to a few BER values known in advance. The BER comparison with the exact results shows that the accuracy of the proposed low‐complexity approach is satisfactory for several constellation sizes of interest. This enables the possibility of BER self‐computation in low‐complexity devices that use orthogonal signals, like those used in the Internet of Things (IoT). |
| first_indexed | 2024-04-12T04:51:34Z |
| format | Article |
| id | doaj.art-adf2b85a976747ee84b3a69152b0546a |
| institution | Directory Open Access Journal |
| issn | 0013-5194 1350-911X |
| language | English |
| last_indexed | 2024-04-12T04:51:34Z |
| publishDate | 2021-06-01 |
| publisher | Wiley |
| record_format | Article |
| series | Electronics Letters |
| spelling | doaj.art-adf2b85a976747ee84b3a69152b0546a2022-12-22T03:47:17ZengWileyElectronics Letters0013-51941350-911X2021-06-01571249649810.1049/ell2.12163Low‐complexity BER computation for coherent detection of orthogonal signalsL. Rugini0G. Baruffa1Department of Engineering University of Perugia Perugia ItalyDepartment of Engineering University of Perugia Perugia ItalyAbstract The bit error rate (BER) computation for coherently detected orthogonal signals in additive white Gaussian noise requires numerical integration, which can be cumbersome in low‐complexity devices. Here, a BER computation approach that circumvents the need for repeated numerical integration is proposed. First, a low‐complexity BER approximation formula is selected, with unknown parameters to be determined. Second, this letter determines the unknown parameters by fitting the BER approximation to a few BER values known in advance. The BER comparison with the exact results shows that the accuracy of the proposed low‐complexity approach is satisfactory for several constellation sizes of interest. This enables the possibility of BER self‐computation in low‐complexity devices that use orthogonal signals, like those used in the Internet of Things (IoT).https://doi.org/10.1049/ell2.12163Signal detectionSignal processing theoryInterpolation and function approximation (numerical analysis)Computational complexityInterpolation and function approximation (numerical analysis)Error statistics (inc. error probability) |
| spellingShingle | L. Rugini G. Baruffa Low‐complexity BER computation for coherent detection of orthogonal signals Electronics Letters Signal detection Signal processing theory Interpolation and function approximation (numerical analysis) Computational complexity Interpolation and function approximation (numerical analysis) Error statistics (inc. error probability) |
| title | Low‐complexity BER computation for coherent detection of orthogonal signals |
| title_full | Low‐complexity BER computation for coherent detection of orthogonal signals |
| title_fullStr | Low‐complexity BER computation for coherent detection of orthogonal signals |
| title_full_unstemmed | Low‐complexity BER computation for coherent detection of orthogonal signals |
| title_short | Low‐complexity BER computation for coherent detection of orthogonal signals |
| title_sort | low complexity ber computation for coherent detection of orthogonal signals |
| topic | Signal detection Signal processing theory Interpolation and function approximation (numerical analysis) Computational complexity Interpolation and function approximation (numerical analysis) Error statistics (inc. error probability) |
| url | https://doi.org/10.1049/ell2.12163 |
| work_keys_str_mv | AT lrugini lowcomplexitybercomputationforcoherentdetectionoforthogonalsignals AT gbaruffa lowcomplexitybercomputationforcoherentdetectionoforthogonalsignals |