基于小波变换的RLS波束成形算法研究

RLS Beamforming Algorithm Based on Wavelet Transform

为了解决递归最小二乘算法(RLS)在较低信噪比(SNR)、遗忘因子较小的环境中,对噪声敏感、收敛时参数估计误差大的问题,引入小波变换去噪思想,提出了基于小波变换的RLS波束成形算法。该算法利用小波变换软阈值法进行信号去噪,再采用RLS算法进行波束成形。最后对实验进行仿真,仿真结果表明,与传统的RLS算法相比,该算法具有较小的稳态误差和较快的跟踪速度和收敛速度,并且波束成形效果好。

On the basis of analyzing the recursive least square algorithm （RLS）, in order to improve the performance of RLS algorithm, the idea of denoising by wavelet transform was introduced and the RLS beamforming algorithm which is based on wavelet transform was put forward. This algorithm uses soft thresholding wavelet transform for signal denoising, solves the problem that the traditional Adaptive beamfornfing algorithm is sensitive to noise and the steady-state error is big under the environment of the low signal to noise ratio （SNR） and small forgetting factor. Finally, the simulation results show that compared with the traditional RLS algorithm, this algorithm has smaller steady-state error and fast tracking speed and convergence speed, and good results of beamforming.