针对利用多项式求根实现类music算法时计算量过高的缺点,提出一种适用于小频偏情况下的快速算法.该方法利用三角函数的Taylor级数展开,通过合理选取展开阶数对度量函数进行低阶函数逼近,并借助低阶多项式求根实现快速频偏估计.理论分析和计算机仿真结果表明,本算法在保证估计精度的前提下极大地降低了计算复杂度,优于原算法.
A fast algorithm was proposed to reduce the computational complexity of polynomial rooting based music-like method under small frequency offset conditions. Relying on truncated Taylor series expansion of triangular functions, this scheme constructs low-order polynomial to approximate the metric function after proper choice of expansion order. Then fast frequency offset estimation is achieved via low complexity polynomial rooting procedure. The analysis and simulation results show that the proposed method can largely reduce the computational complexity while maintaining the estimation accuracy, thus it is better than the original method.