Power consumption reduction on RADAR MIMO using Lift Wavelet Transform – Filter Bank based MultiCarrier (LWT-FBMC)

Abstract

The RADAR MIMO uses multiple antennas on emitter and receiver for avoiding doppler effects, improving the robustness of binary error of transmission. Multi carrier modulation is introduced to have good performance about doppler effects like Filter Bank based MultiCarrier (FBMC) used specially on 5G. It is a multicarrier modulation like Orthogonal Frequency Division Multiplex (OFDM) but each carrier is processed with filter bank to reduce the outside band of spectrum. The problems of OFDM and FBMC are concerned about Discret Fourier Transform (DFT) which gives Peak Average Power Ratio (PAPR) and high time processing. This article replaces the DFT by Discret Cosine Transform (DCT) and Lift Wavelet Transform (LWT). I also noticed that the LWT-FBMC is a proposition on 6G modulations and FFT is the same function as DFT. The difference is that FFT uses rapid multiplication instead of simple multiplication.

This study presents the difference between RADAR MIMO OFDM and RADAR MIMO FBMC. We did a simulation on Matlab about the RADAR MIMO FBMC using multiple transformations like DFT, DCT and LWT and compared the results (Power Average Power Ration or PAPR, Bit Error Ratio or BER) on each methods. We present all mathematics formulas with simplified diagrams and  evaluate the time complexity of each method.

As a result,  we can deduce that time consumption for LWT is much lower than DCT and DFT. This method doesn’t use exponential calculations but just addition and substraction formula. The LWT also presents a lower PAPR but has a larger BER. So, LWT-FBMC presents a good performance in reduction of power consumption on RADAR MIMO instead of classic DCT or DFT FBMC.