Alogarithm Companding-Enhanced Constant Modulus Algorithm for Peak-to-Average Power Ratio Reduction in MIMO-OFDM Systems

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@article{1716086,
      author = {Muoghalu, Chidiebere N., Achebe, Patience N., Ogodu, Felix, Nnaemeka C. Asiegbu},
      title = {Alogarithm Companding-Enhanced Constant Modulus Algorithm for Peak-to-Average Power Ratio Reduction in MIMO-OFDM Systems},
      journal = {Iconic Research And Engineering Journals},
      year = {2026},
      volume = {9},
      number = {10},
      pages = {5053-5061},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1716086.pdf},
      abstract = {Peak-to-Average Power Ratio (PAPR) is among the most technically consequential impairments in OFDM-based wireless communication systems, arising from the coherent addition of multiple subcarriers that can generate instantaneous power spikes far exceeding the mean signal power. Such spikes force power amplifiers into their nonlinear operating region, degrading signal fidelity, increasing adjacent-channel interference, and reducing energy efficiency — outcomes that directly undermine the high-throughput objectives of modern wireless standards such as WiMAX. This paper presents a novel PAPR reduction scheme for MIMO-OFDM systems that integrates a Logarithm Companding Algorithm (LCA) with a Constant Modulus Algorithm (CMA), implemented under two precoding strategies: Inverse Fast Fourier Transform (IFFT) and Inverse Discrete Cosine Transform (IDCT). The proposed CMA-LCA-IFFT and CMA-LCA-IDCT configurations are designed for the WiMAX standard using QPSK modulation with 1024 OFDM subcarriers and four base-station transmit antennas. MATLAB simulations benchmarked against complementary cumulative distribution function (CCDF) curves at 10⁰ demonstrate that the baseline CMA-IFFT alone reduces PAPR from 8.9271 dB to 5.032 dB (43.6% improvement), while the proposed CMA-LCA-IFFT achieves 2.2389 dB (74.9% improvement) and CMA-LCA-IDCT achieves 2.2978 dB (74.3% improvement). Against previously published CMA-based schemes — the conventional CMA of Kumawat and Kumawat [1] and the Evolutionary Adaptive CMA (EA-CMA) of Tripathi et al. [2] — the proposed CMA-LCA-IFFT records a PAPR of 2.0930 dB and a 76.6% improvement, confirming clear performance superiority. The findings establish logarithm companding as a highly effective complement to constant modulus optimisation for transmitter-side PAPR management in MIMO-OFDM systems.},
      keywords = {PAPR Reduction, MIMO-OFDM, Constant Modulus Algorithm, Logarithm Companding, IFFT.},
      month = {April},
      doi = {https://doi.org/10.64388/IREV9I10-1716086}
  }