The equalization of nonlinear systems is an important application of Volterra filters. The pth-order inverse is one of the important approaches of Volterra equalization, but the existence of Volterra filter equalization and the convergence and error bound using the pth-order approximation equalizer instead of the Volterra equalizer are not reported yet. We discuss the above problems. The concept of local l/sub 2/ stability for the Volterra filter is introduced, and the algorithmic formula of the pth-order inverse is presented by using the multi-dimension z-transform. Finally, the existence of Volterra filter equalization and the convergence and error bound using the pth-order approximation equalizer instead of the Volterra equalizer are discussed. The proposed algorithms are corroborated with a simulation example.
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机译：非线性系统的均衡是Volterra滤波器的重要应用。 p阶逆是Volterra均衡的重要方法之一，但尚未报道Volterra滤波器均衡的存在以及使用p阶近似均衡器代替Volterra均衡器的收敛性和误差界。我们讨论以上问题。介绍了Volterra滤波器的局部l / sub 2 /稳定性的概念，并利用多维z变换给出了p阶逆的算法公式。最后，讨论了Volterra滤波器均衡的存在以及使用p阶近似均衡器代替Volterra均衡器的收敛性和误差范围。仿真实例证实了所提出的算法。
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