多输入多输出Volterra滤波均衡器设计

摘要

In order to recover the input signal from the output signal with noise, the problem about design of multiple input multiple output （MIMO） Volterra filter equalizer is studied, and the concrete design steps are given. The convergence of Volterra filter equalizer and the error bound using pth-order approximation equalizer instead of infinite order Volterra equalizer are discussed. The concept of local finite energy stability for MIMO Volterra filter is introduced, and the algorithm formula of pth-order inverse are given by multi-dimension z-transform. Then, the design algorithm of Volterra filter equalizer is studied, and the convergence and the error bound are discussed. Results of simulation illustrate that the proposed algorithms　can be applied to not only the MIMO system, but also the array signal processing and wireless communication system.%为了从带有噪声的输出信号中恢复出输入信号，研究了多输入多输出(MIMO)Volterra滤波均衡器的设计问题，并给出了具体的设计步骤．讨论了当使用p阶逼近Volterra滤波均衡器代替无限阶Volterra滤波均衡器时的收敛性及误差界．引进了MIMO Volterra滤波器局部l2稳定性的概念，利用多维z变换，给出了p阶逆的计算公式，然后研究了Volterra滤波均衡器的设计算法，并讨论了它的收敛性及误差界．仿真结果表明，所提方法不仅可以直接应用到多输入多输出系统，而且还可应用到阵列信号处理及无线通信系统中．