基于Chebyshev正交多项式的通道相位估计算法

Channels phase estimate algorithm based on Chebyshev orthogonal polynomial

针对信号传输通道相位估计等问题,提出了一种通过利用Chebyshev正交多项式逼近函数计算反正切函数值求取通道相位的算法,该算法通过象限判别、区间划分的方法计算反正切函数的输入值,然后利用Chebyshev正交多项式逼近函数计算信号相位,最后,通过迭代算法简化计算。该算法具有算法简单,估计速度快、精度高的特点。

Aiming at the problem of signal transmission channels phase estimation, a kind of algorithm for channels phase utilizing Chebyshev orthogonal polynomial approximation function is proposed. The algorithm calculates the input value of arctan function through the method of quadrant distinguish and interzone partition. Then channels phase is calculated utilize Chebyshev orthogonal polynomial approximation function. At last, calculation is predigested by iterative algorithm. The algorithm has the characteristic of simple, fast estimation speed and high precision.