Design of Multiple Input Multiple Output Volterra Filter Equalizer
Fang Yangwang¹,Jiao Licheng¹,Liu Jing²,Wei Ruixuan³
(1.Key Laboratory for Radar Signal Processing,XidianUniversity,Xi'an 710071,China;2.Institute of Engineering, Airforce Engineering University;3. School of Electronics and Information Engineering, Xi'an Jiaotong University)

Abstract: 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 filteris 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 illu strate that the proposed algorithms can be applied to not only the MIMO system,but also the array signal processing and wireless communication system.
Keywords: Volterra filter;local stability; filter equalizer;multi-dimenson z-transform