基于通道均衡函数的复信号反卷积研究

A Study on Complex-signal Deconvolution Based on Channel Equalization Function

在雷达通道均衡算法的研究中,均衡函数的时域求解存在着复信号反卷积的问题。为此,文中在介绍了均衡函数及其病态问题后研究了复信号反卷积方法,借助于基于循环卷积的反卷积算法和基于伪逆法的反卷积算法实现了复信号反卷积的求解,给出了相应的算法。利用复信号反卷积算法进行了均衡函数的求解和通道均衡的仿真实验。结果表明,文中提出的复信号反卷积方法可以有效解决均衡函数的时域求解。其中,在复信号反卷积算法中运用基于循环卷积的反卷积方法实时性好,运用伪逆法的反卷积算法通用性强,逼近更精确,能更有效回避均衡函数求解的病态问题。

In the research for radar channel-equalization methods,there exists a complex-signal deconvolution in the course of seeking equalization functions in time domain.In this paper,a complex-signal deconvolution is studied after the equalization functions and their ill-posed problems are introduced.Moreover,the complex-signal deconvolution is solved in virtue of circular-convolution deconvolution algorithm（CCDA） and pseudo-inverse-matrix-based deconvolution algorithm（PIDA）,and a corresponding algorithm—complex-signal deconvolution algorithm（CSDA） is brought forward.The simulations about finding equalization functions and taking channel equalization are experimented by utilizing CSDA.The results show that the CSDA can find the equalization function in time domain effectively,in which the CCDA-based CSDA has the character with real time,while the PIDA-based CSDA has the advantages with good popularity and more accuracy,and can avoid the ill-posed problem appearing in searching equalization function in frequency domain.