A Closed-Form Minimum BER Precoder for Orthogonal Time Frequency Space Systems
This letter devises a closed-form precoder for Orthogonal Time Frequency Space (OTFS) systems with linear equalization to minimize the bit error rate (BER). The precoder is developed by optimally allocating the power to adapt to the equivalent channel in the delay-Doppler domain. To achieve the mini...
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| Published in: | IEEE communications letters Vol. 26; no. 8; pp. 1898 - 1902 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
New York
IEEE
01.08.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 1089-7798, 1558-2558 |
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| Abstract | This letter devises a closed-form precoder for Orthogonal Time Frequency Space (OTFS) systems with linear equalization to minimize the bit error rate (BER). The precoder is developed by optimally allocating the power to adapt to the equivalent channel in the delay-Doppler domain. To achieve the minimum BER precoder design, we convert the minimization of the average BER into the minimization of its lower bound subject to a transmission power constraint. By exploiting the convexity, a closed-form minimum BER precoder is designed, which actually achieves the lower bound. As such, the unified bit error probability function for both the zero-forcing (ZF) and minimum mean square error (MMSE) equalizations is derived and verified with their numerical counterparts. Simulation results demonstrate that the designed precoders can provide lower BER than the existing linear equalizations without precoding. |
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| AbstractList | This letter devises a closed-form precoder for Orthogonal Time Frequency Space (OTFS) systems with linear equalization to minimize the bit error rate (BER). The precoder is developed by optimally allocating the power to adapt to the equivalent channel in the delay-Doppler domain. To achieve the minimum BER precoder design, we convert the minimization of the average BER into the minimization of its lower bound subject to a transmission power constraint. By exploiting the convexity, a closed-form minimum BER precoder is designed, which actually achieves the lower bound. As such, the unified bit error probability function for both the zero-forcing (ZF) and minimum mean square error (MMSE) equalizations is derived and verified with their numerical counterparts. Simulation results demonstrate that the designed precoders can provide lower BER than the existing linear equalizations without precoding. |
| Author | Sun, Jinjing Huang, Qin Wang, Zulin |
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| Cites_doi | 10.1109/JIOT.2021.3132606 10.1109/TSP.2003.815387 10.1109/TVT.2019.2906357 10.1109/TWC.2018.2860011 10.1109/TCOMM.2021.3051386 10.1109/TSP.2005.850373 10.1109/WCSP52459.2021.9613229 10.1109/VTCSpring.2019.8746420 10.1109/TWC.2021.3071493 10.1002/0471200611 10.1109/MWC.001.2000408 10.1109/LCOMM.2019.2956709 10.1109/TWC.2021.3097173 10.1109/LCOMM.2019.2945564 10.1109/WCNC.2017.7925924 |
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| Snippet | This letter devises a closed-form precoder for Orthogonal Time Frequency Space (OTFS) systems with linear equalization to minimize the bit error rate (BER).... |
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| StartPage | 1898 |
| SubjectTerms | Bit error rate Closed form solutions Convexity Errors Exact solutions Interference Lower bounds Manganese Minimization minimum BER precoder minimum mean square error Optimization Orthogonal time frequency space Signal to noise ratio Symbols Time-frequency analysis zero-forcing |
| Title | A Closed-Form Minimum BER Precoder for Orthogonal Time Frequency Space Systems |
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