Wavelet transform basis to detect the odd peaks in wireless systems

The performance of wireless systems has been studied on the basis of tackling the unwanted peak. A wavelet transform method was used for this purpose. Specifically, this proposition has been applied to combat the large peak-to-average power ratio (PAPR), which is one of the major Orthogonal Frequency Division Multiplexing (OFDM) system´s drawbacks Furthermore, Multiple-Input Multiple-Output (MIMO) technology also imposed to enhance the wireless systems performance. To draw the best performance of this work, a MATLAB simulation has been used and it is divided into three main stages; MIMO-OFDM symbols´ reconstruction based on wavelet transform, then a predetermined thresholding formula that is used, and finally, imposing moving filter. This algorithm is called Peaks´ detection based Entropy Wavelet Transform; PDEWT. Moreover, a numerical analysis also used to check its validity. Based on our simulation and under some constrains such as the bandwidth occupancy and the complexity structure of the transceivers, a peak detection ratio has been achieved and reaches around 85%. Comparing to our previously published works, the PD-EWT enhances the detection ratio for 25% more peaks.