Peak-to-Average Power Ratio Reduction in Lifting Based Wavelet Packet Modulation Systems Using Differential Evolution Algorithm

Integer wavelet transform (IWT) is an alternative to fast Fourier transform (FFT) in orthogonal frequency division multiplexing (OFDM) systems. It serves implementation flexibility and performance improvement by diminishing high side lobes, sensitivity to time and frequency synchronization. However, high PAPR of the transmitted signals is also a significant problem for IWT as in FFT based OFDM. One of the methods used for reducing the peak-to-average power ratio (PAPR) is partial transmit sequences (PTS) and this method requires an exhaustive search to obtain optimum reduction. This study examines the PAPR reduction potential of differential evolution algorithm based PTS scheme in lifting based wavelet packet modulation (LBWPM) system. The simulation results indicate that remarkable PAPR reduction performance with a low computational load for LBWPM system can be achieved using the proposed differential evolution based PTS scheme.