基干Volterra滤波器的非线性主动噪声控制研究

发布时间：2018-05-22 20:51

本文选题：Volterra滤波器 + 非线性主动噪声控制　；参考：《西南交通大学》2015年硕士论文

【摘要】：在非线性信号处理领域中一个重要的研究对象是非线性主动噪声控制,由Volterra滤波器本身包含的非线性特性,适合创建非线性系统模型,能够有效的实现非线性主动噪声控制。因此,基于Volterra滤波器的非线性主动噪声控制就成为自适应信号处理领域中备受关注的热点。论文在选题的背景和意义及基于Volterra滤波器的非线性主动噪声控制国内外研究现状的基础上,对滤波器结构进行深入研究,来实现低计算复杂度的非线性主动噪声控制效果。利用Volterra滤波器和DCT技术两个方面,探究一些新型结构的非线性主动噪声控制器。主要是在标准的二阶Volterra滤波器和三阶Volterra滤波器结构、扩展流水线Volterra滤波器结构基础之上,适当的应用DCT技术来改进继而提出相应的新型结构的非线性主动噪声控制器。本文又对所提出的DCT域二阶Volterra滤波器结构的主动噪声控制中应用的FXLMS算法进行改变,采用NLMS算法和变步长算法,目的是为进一步改善系统的性能,计算机仿真证明了其可行性、有效性及优越性。论文的主要研究成果包括：1研究了两种DCT域Volterra滤波器的非线性主动噪声控制结构,即基于DCT域二阶和三阶Volterra滤波器的非线性主动噪声控制结构,此主动噪声控制器最大特点是结构简单,实现容易,能够减少严重的计算量负担和提高滤波器算法的收敛速度。2在提出的基于DCT域二阶Volterra滤波器的非线性主动噪声控制结构基础之上,对其应用的FXLMS算法和算法中固定步长的不足进行改进,采用NLMS算法和变步长算法来改变系统权系数的更新方式。计算机仿真结果表明,NLMS算法和变步长算法不仅在新的结构中有效可行,而且保证系统低计算复杂度的情况下,提高了收敛速度和保证了较低的稳态误差。3基于扩展流水线Volterra滤波器结构的基础之上应用DCT技术,提出基于DCT域扩展流水线Volterra滤波器非线性主动噪声控制结构及改进结构。实现了系统性能的改善,更重要的是进一步达到了非线性主动噪声控制的低计算复杂度需求。
[Abstract]:Nonlinear active noise control is an important research object in the field of nonlinear signal processing. The nonlinear characteristics contained in Volterra filter are suitable for the establishment of nonlinear system model and can effectively realize nonlinear active noise control. Therefore, nonlinear active noise control based on Volterra filter has become a hot topic in the field of adaptive signal processing. Based on the background and significance of the topic and the research status of nonlinear active noise control based on Volterra filter at home and abroad, the structure of the filter is deeply studied to achieve the low computational complexity of nonlinear active noise control effect. Using Volterra filter and DCT technology, some new nonlinear active noise controllers are studied. Based on the standard second-order Volterra filter and third-order Volterra filter structure and extended pipelined Volterra filter structure, a new nonlinear active noise controller is proposed by using DCT technology. In this paper, the FXLMS algorithm used in the active noise control of the second-order Volterra filter structure in DCT domain is changed, and the NLMS algorithm and the variable step size algorithm are adopted in order to further improve the performance of the system. The computer simulation proves its feasibility. Effectiveness and superiority. The main research results of this paper include: 1, the nonlinear active noise control structure of two kinds of Volterra filters in DCT domain is studied, that is, the nonlinear active noise control structure based on DCT second-order and third-order Volterra filters. This active noise controller is characterized by its simple structure and easy implementation. It can reduce the heavy computational burden and improve the convergence speed of the filter algorithm .2 based on the proposed nonlinear active noise control structure based on the second-order Volterra filter in DCT domain. In order to improve the FXLMS algorithm and the deficiency of the fixed step size, the NLMS algorithm and the variable step size algorithm are used to change the updating method of the system weight coefficient. The computer simulation results show that the NLMS algorithm and the variable step size algorithm are not only effective and feasible in the new structure, but also ensure the low computational complexity of the system. The convergence rate is improved and the steady-state error is guaranteed. 3 based on the extended pipelined Volterra filter structure, the nonlinear active noise control structure and the improved structure of the extended pipeline Volterra filter based on DCT domain are proposed by using DCT technology. The performance of the system is improved and, more importantly, the low computational complexity of nonlinear active noise control is achieved.
【学位授予单位】：西南交通大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TB535;TN713

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