Method of peak factor reduction with compensation signal in OFDM system using regression for parameter selection

Objectives. The article aims to investigate the authors’ developed peak-to-average power ratio (PAPR) reduction method using an additional compensation signal in orthogonal frequency-division multiplexing (OFDM) systems, employing polynomial regression for method parameter selection.

Methods. The study utilizes statistical radio technique methods and mathematical modeling to approximate the relationship between bit error rate (BER) versus clipping threshold level and number of additional signals using polynomial regression analysis.

Results. We developed an algorithm for parameter selection in the PAPR reduction method with an additional compensation signal for OFDM systems using polynomial regression. This approach enables rapid system performance evaluation without additional computational overhead for mathematical modeling. The method significantly simplifies the optimization of clipping threshold and number of additional signals, eliminating the need for complete simulation cycles for each configuration. Both simulation and analytical calculations confirm that increasing the clipping threshold reduces BER, while increasing the number of additional signals improves clipping accuracy at the cost of higher computational complexity. Optimal parameter selection achieves a compromise between PAPR reduction and signal quality preservation. Furthermore, we established that for a fixed clipping threshold, there exists an optimal number of additional signals providing the best trade-off between error probability and peak value reduction.

Conclusions. An algorithm for selecting the parameters of the clipping method with an additional compensation signal based on polynomial regression has been developed. This algorithm enables real-time evaluation of system characteristics without additional computational costs associated with repeated mathematical modeling. The proposed approach reduces calculation time by more than a factor of five, offering flexibility and adaptability in the design of OFDM systems with PAPR reduction. 

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