基于小波域隐马尔可夫模型的信号处理技术研究
Research on Signal Processing Technology Using Wavelet-Based Hidden Markov Models
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摘要: 研究寻北仪惯性传感器信号处理问题,采用基于小波域的隐马尔可夫模型(WHMM),对连续旋转式寻北仪陀螺的输出信号进行降噪处理. WHMM使用混合高斯模型描述小波系数的分布特性,隐状态间的概率转换描述不同尺度小波系数间的相互关系,并采用期望极大化(EM) 算法对模型参数进行训练. 通过训练得到的WHMM估计真实信号的小波系数,将估计出的小波系数进行逆小波变换,实现信号的降噪处理. 应用实例表明,该方法对陀螺输出信号有效地进行了降噪处理,抑制了干扰,提高了寻北精度.Abstract: The problem of signal processing in north-finders has been studied. The wavelet-based hidden Markov models (WHMM) are used to denoise the Gyros output signals in continuous rotary north-finders. The WHMM employs Gaussian mixture model and transition probabilities between hidden states to model the individual wavelet coefficient and relationships between wavelet coefficients in different layers, respectively. Furthermore, an expectation maximum (EM) method is used to train the WHMM coefficients. Finally, the wavelet coefficients are reestimated through the trained WHMM, and used in inverse wavelet transform to realize signal denoising processing. The practical examples show that the WHMM can effectively depress the noise in Gyros output signals, improve the precision of north-finders.
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