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<p>In this study, the Peak-to-Average Power Ratio (PAPR) and Bit Error Rate (BER) performance in Orthogonal Time Frequency Space (OTFS) modulation with Non-Orthogonal Multiple Access (NOMA) over Rayleigh fading channels were investigated. Simulations with 256-QAM and 512-QAM modulation schemes on 256 subcarriers evaluated several PAPR reduction techniques, including the Vandermonde matrix–based Partial Transmit Sequence with Companding (Vm-PTS+Companding), Vm-SLM+Companding, conventional PTS, Selective Mapping (SLM), Companding, and Clipping &amp; Filtering (C&amp;F). The proposed Vm-PTS+Companding achieves up to 9&#xa0;dB PAPR reduction for 256-QAM and 8.9&#xa0;dB for 512-QAM at a Complementary Cumulative Distribution Function (CCDF) of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(10^{-3}\)</EquationSource> </InlineEquation>, outperforming existing methods. Under a <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(10\%\)</EquationSource> </InlineEquation> channel estimation error, the PAPR performance degrades, yet the proposed scheme maintains a 2.9–9.9&#xa0;dB gain over conventional approaches. BER analysis showed Signal-to-Noise Ratio (SNR) improvements of 3.5–13.7&#xa0;dB in ideal channels and up to 16&#xa0;dB under error conditions. Power Spectral Density (PSD) evaluation further confirmed the reduced spectral leakage, with the method achieving a level of <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(-247\)</EquationSource> </InlineEquation>&#xa0;dB. These results demonstrate that Vm-PTS+Companding effectively optimizes both the PAPR and BER in OTFS-NOMA systems, supporting high data rates in error-prone wireless environments.</p>

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Low complexity hybrid algorithm for improving PAPR BER and PSD in OTFS under diverse channel conditions

  • 期刊论文

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  • 发表日期：

    2025年11月26日

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  • Arun Kumar,
  • Aziz Nanthaamornphong,
  • Nishant Gaur,
  • Mehedi Masud

摘要

In this study, the Peak-to-Average Power Ratio (PAPR) and Bit Error Rate (BER) performance in Orthogonal Time Frequency Space (OTFS) modulation with Non-Orthogonal Multiple Access (NOMA) over Rayleigh fading channels were investigated. Simulations with 256-QAM and 512-QAM modulation schemes on 256 subcarriers evaluated several PAPR reduction techniques, including the Vandermonde matrix–based Partial Transmit Sequence with Companding (Vm-PTS+Companding), Vm-SLM+Companding, conventional PTS, Selective Mapping (SLM), Companding, and Clipping & Filtering (C&F). The proposed Vm-PTS+Companding achieves up to 9 dB PAPR reduction for 256-QAM and 8.9 dB for 512-QAM at a Complementary Cumulative Distribution Function (CCDF) of \(10^{-3}\) , outperforming existing methods. Under a \(10\%\) channel estimation error, the PAPR performance degrades, yet the proposed scheme maintains a 2.9–9.9 dB gain over conventional approaches. BER analysis showed Signal-to-Noise Ratio (SNR) improvements of 3.5–13.7 dB in ideal channels and up to 16 dB under error conditions. Power Spectral Density (PSD) evaluation further confirmed the reduced spectral leakage, with the method achieving a level of \(-247\)  dB. These results demonstrate that Vm-PTS+Companding effectively optimizes both the PAPR and BER in OTFS-NOMA systems, supporting high data rates in error-prone wireless environments.