基于有限脉冲响应滤波器的实时小波算法及其在色谱信号解析中的应用

A real-time wavelet algorithm and its application in chromatographic signal analysis based on finite impulse response filter

对色谱信号进行正确、实时地解析是利用色谱仪器系统进行过程检测的关键技术。小波分析方法能对色谱信号进行有效解析,但实时性一直是制约该方法在色谱信号处理中广泛应用的一个瓶颈。多分辨率分析与重构算法(MALLAT)是小波分析的一种快速算法,但是该算法的实时性仍然需要进一步提高。针对这一问题,以MALLAT算法原理为基础,利用在分解重组过程中两组滤波器系数之间的关系提出了一种基于有限脉冲响应滤波器的实时小波分析算法。仿真结果表明,与经典的MALLAT小波快速算法相比,该算法在保持信号有效分解与重构的基础上,运行耗时明显缩短,实时性得到较大提高。

The precise real-time analysis of the chromatographic signal is the key technology in process detection using chromatographic instrument system. Chromatographic signal can be effectively analyzed with the wavelet transform. However, the performance of real-time is not satisfactory and become a bottleneck of its wide applications. As a fast algorithm of wavelet analysis, the multi-resolution analysis （MALLAT） algorithm can still not satisfy the require-ments of real-time performance. Considering the MALLAT algorithm and the relationship between filter coefficients of the decomposition and reconstruction, a novel real-time wavelet analysis method based on finite impulse response filter was proposed in this paper. Simulation results showed that the real-time performance of proposed algorithm is greatly improved on the basis of same effects compared with the classical MALLAT wavelet algorithm.