The nonlinearity of amplifiers is one of the major impairments in wireless communications. In this letter, we propose a novel estimation method for the memoryless nonlinearity of amplifiers using weighted least squares and provide its theoretical error analysis on complex Gaussian signals. In the proposed method, the input signal and weight value are obtained via numerical integration formulas. Simulation results show that the proposed method can achieve a sufficiently low reconstruction error with 10 measurement samples on the estimation of the 13th-order nonlinearity. In addition, the simulation and theoretical results are consistent with each other.

中文翻译：

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正交多项式加权最小二乘法和数值积分用于估计无记忆非线性


放大器的非线性是无线通信的主要障碍之一。在这封信中，我们提出了一种使用加权最小二乘法来估计放大器无记忆非线性的新颖方法，并提供了其对复杂高斯信号的理论误差分析。在所提出的方法中，输入信号和权重值是通过数值积分公式获得的。仿真结果表明，该方法可以在10个测量样本的13阶非线性估计上实现足够低的重构误差。此外，模拟结果与理论结果是一致的。