利用小波去噪进行步态加速度信号预处理

Gait Acceleration Signal Preprocessing with Wavelet Denoising

  • 摘要: 针对步态识别方法中加速度信号的去噪问题,提出了一种利用复合评价指标及小波熵进行步态加速度信号小波去噪的参数优选方法。均方根误差和平滑度的变化率随小波分解层数的增加表现出单调性和负相关性,根据该特性使用改进熵权法构建了一种复合评价指标,通过构建的复合评价指标确定不同小波基处理步态信号时的最优分解层数,根据步态信号小波分解后低频系数的小波熵大小来确定每一分解层次的最优小波基。实验结果表明,所提方法确定的小波去噪方案可以满足步态信号研究的滤波要求。

     

    Abstract:
      Objectives  Aiming at the denoising problem of acceleration signal in gait recognition method, a parameter optimization method using composite evaluation index and wavelet entropy for wavelet denoising of gait acceleration signal is proposed.
      Methods  Firstly, based on the geometric and physical meanings of the four traditional evaluation indexes of wavelet denoising effect, namely root mean square error (RMSE), signal-to-noise ratio(SNR), correlation coefficient (R), smoothness (r), an improved entropy weight method is used to evaluate the denoising effect. The two indexes under different wavelet decomposition levels are linearly weighted to obtain a new comprehensive evaluation index. The decomposition level corresponding to the lowest point of the comprehensive evaluation index is the optimal decomposition level. Then, based on the physical meaning of wavelet entropy, the optimal wavelet base for wavelet decomposition is determined by calculating the wavelet entropy of the low-frequency coefficients of different wavelet bases to process the signal.
      Results  Simulation and test results show that: (1) Compared with the existing composite evaluation indexes, the composite evaluation index has certain advantages in reliability, simplicity and accuracy; (2) wavelet entropy based wavelet selection scheme (WEBWSS). takes into account the optimization of the number of decomposition layers and the wavelet basis, and has better denoising performance than WEBWSS; (3) The discriminant function method after optimization can locate the singularity of the signal well, but at the cost of the smoothness of the denoising signal. Under the premise of meeting the filtering requirements of gait signal research, the detailed features of the wavelet denoised acceleration signal waveform obtained by the WEBWSS are well preserved, and the gait cycle can be clearly distinguished.
      Conclusions  The wavelet denoising scheme determined by optimized WEBWSS can obtain satisfactory results when processing gait acceleration signals.

     

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