Applying an Adaptive Method of the Orthogonal Laguerre Filtration of Noise Interference to Increase the Signal/Noise Ratio

V. Kozlovskyi, L. Scherbak, Hanna Martyniuk, Ruslan Zharovskyi, Yuriy Balanyuk, Y. Boiko
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引用次数: 3

Abstract

A relevant task for control systems is to reduce the impact of noise interference in order to increase the signal/noise ratio (SNR). This issue is relevant to other technical systems as well. This work addresses the orthogonal Laguerre filtration of noise processes, which are described by the linear random processes. The proposed method of filtration makes it possible to reduce the influence of noise interference, which is described by the stationary linear random processes, in the operation of correlation systems. The essence of this method implies the use of orthogonal Laguerre filters as the input links of the correlation system. The sequence of the noise processes, which are uncorrelated over a significant time interval of their mutual shift, has been derived on the basis of orthogonal Laguerre filtration of the stationary white noise. Such processes are described by the stationary linear random processes and are the models of a wide range of noise interference, which are explored in the operation of various technical systems, including control, detection, recognition, measurement systems, etc. The application of this method decreases the effect of noise interference with different correlation-spectral characteristics and increases the SNR at the output from the correlation system. Practical tasks on reducing the action of stationary noise interference have been solved within the framework of the proposed adaptive method of orthogonal Laguerre filtration; to this end, the article shows a structural-logical scheme of the correlation system. Using the software, the algorithm of the adaptive filtration based on the complex Laguerre filters has been implemented. The implementation has been carried out for an actual noise interference that belongs to the RLC class of noise, employing the pre-training of the filter. The effectiveness of reducing the impact of the predefined stationary noise interference has been confirmed by the derived efficiency coefficients the size of –6 dB and –16 dB for the set of the interference zeroing points
应用正交拉盖尔滤波自适应方法提高噪声干扰的信噪比
控制系统的一个相关任务是降低噪声干扰的影响,以提高信噪比。这个问题也与其他技术系统有关。这项工作解决了正交拉盖尔滤波的噪声过程,这是由线性随机过程描述。所提出的滤波方法可以降低相关系统运行中由平稳线性随机过程描述的噪声干扰的影响。该方法的实质是使用正交拉盖尔滤波器作为相关系统的输入环节。在平稳白噪声的正交拉盖尔滤波的基础上,导出了在互移的显著时间间隔内不相关的噪声过程的序列。这些过程由平稳线性随机过程描述,是大范围噪声干扰的模型,在各种技术系统的运行中进行探索,包括控制、检测、识别、测量系统等。该方法的应用降低了不同相关谱特性的噪声干扰的影响,提高了相关系统输出端的信噪比。在提出的正交拉盖尔滤波自适应方法框架内解决了减小平稳噪声干扰作用的实际任务;为此,本文给出了关联系统的结构逻辑方案。利用该软件,实现了基于复拉盖尔滤波器的自适应滤波算法。利用滤波器的预训练,对RLC类噪声的实际干扰进行了实现。通过导出的-6 dB和-16 dB的干扰归零点组效率系数,证实了减小预定义平稳噪声干扰影响的有效性
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