PAPR Reduction of OFDM With Trellis Shaping Based on -Norm Minimization

• Published in: IEEE wireless communications letters 2019-08, Vol.8 (4), p.988-991
• Main Authors: Takizawa, Shun, Ochiai, Hideki
• Format: Article
• Language: English
• Subjects: <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">p -norm; Autocorrelation functions; Complexity theory; Convolutional codes; Correlation; Frequency division multiplexing; Measurement; Orthogonal Frequency Division Multiplexing; Orthogonal frequency-division multiplexing (OFDM); Peak to average power ratio; peak-to-average power ratio (PAPR); Quadrature amplitude modulation; Sidelobes; trellis shaping (TS)
• ISSN: 2162-2337; 2162-2345
• DOI: 10.1109/LWC.2019.2903247

We propose a new metric for trellis shaping (TS) that reduces the peak-to-average power ratio (PAPR) of orthogonal frequency-division multiplexing (OFDM) signals. The proposed metric is based on the {p} -norm of the OFDM signal instantaneous power and generalization of the conventional time-domain metric based on the maximum peak power. Furthermore, we prove that the proposed metric with {p} = 2 is equivalent to the conventional frequency-domain (FD) approach that minimizes the squared sidelobe of the autocorrelation function of transmit symbols. Simulation results demonstrate that the TS using the proposed metric with the optimized norm outperforms the conventional maximum peak power and FD approaches by 0.15 dB and 0.95 dB, respectively, in terms of the PAPR evaluated at \mathrm {CCDF}={10}^ {-4} . On the other hand, the FD metric still performs best in terms of the achievable cubic metric.