中文摘要：

定义了一个新的复指数函数将典型的16-QAM非常模信号的实部和虚部分别映射至单位圆上.然后利用映射后星座坐标的实部和虚部之间的关系建立代价函数,从而提出了一种新的盲均衡算法.新算法克服了著名的恒模盲均衡算法及其典型的改进算法在对非常模信号均衡时稳态误差大的缺点.通过理论证明验证了新算法在无噪声环境下稳态均方误差为0;通过仿真实验验证了新算法在有噪环境下比恒模及其改进算法具有更低的稳态均方误差.

英文摘要：

A new complex exponential function is defined to map the real and imaginary parts of a classic 16-QAM nonconstant modulus signal to the unit circle,respectively. With the relationship between the real and imaginary parts of the new constellation after mapping, a new cost function is built and then a new blind equalization algorithm is proposed. The proposed algorithm can converge the steady-state mean square error （MSE） to zero under a noiseless environment, which is different from the famous constant modulus algorithm （CMA） and some CMA-based improved algorithms. In addition, we provide the theoretical analysis of the proposed algorithm. Simulation results demonstrate that the proposed algorithm has the lower steady-state MSE than CMA and some CMA-based improved algorithms.