标准SIMO信道盲解卷固定点算法

General SIMO blind deconvoluuion by fixed-point method

从最简单的IIR-SIMO信道出发,采用离散傅立叶变换从理论上推导出了源信号估计值与观测信号的基本关系,据此提出了源信号固定点迭代计算方法,并基于最小均方误差准则给出了确定滤波器阶数的代价函数.在此基础上,进一步将这种分析方法推广到标准SIMO信道,进而最终建立了标准SIMO信道盲解卷固定点新算法.该算法无需设置迭代步长,也不像已有的许多SIMO盲解卷算法一样要求源信号属于有限字符集.针对混迭语音信号进行的仿真结果验证了算法理论分析的正确性和算法的有效性.

Starting from the model of the simplest infinite impulse response（IIR）-single-input multi-output （SIMO） channel, the mathematical relationship between the observed signals and their corresponding sources is theoretically specified using the discrete Fourier transform. On the basis of this relationship, a fixed-point iterative algorithm is first proposed for the simplest IIR-SIMO blind deconvolution. Also, based on least square error （LSE） criterion, a cost function for channel filter order detection is developed for it. Then the simplest IIR-SIMO blind deconvolution method is further extended to the general SIMO channel. In this way, a general SIMO blind deconvolution fixed-point iterative algorithm is finally developed. In contrast to other existing blind deconvolution methods, the proposed algorithm has no step size to setup. In addition, it does not require the source signals to be finite alphabet. These desirable properties of the proposed methods have been demonstrated by mixing speech experiments.