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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Vydáno v:IEEE communications letters Ročník 26; číslo 8; s. 1898 - 1902
Hlavní autoři: Sun, Jinjing, Wang, Zulin, Huang, Qin
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.08.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
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
ISSN:1089-7798, 1558-2558
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Shrnutí: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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ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2022.3175474