基于原子范数的多跳频信号时频参数估计

Time frequency parameter estimation of multiple frequency-hopping signals based on atomic norm

针对现有多跳频信号参数估计方法构造的基字典与信号不匹配的问题,提出了基于原子范数的时频参数估计方法。首先定义无限原子集合并建立原子范数最小化模型,再利用其对偶问题完成对信号的估计,最后根据对偶多项式在单位圆上的绝对值完成信号频率的估计,通过统计频率分量的个数完成了信号跳变时刻的估计。仿真结果表明该算法在多跳频信号条件下能够得到比现有算法更高的估计精度和性能。

To solve the mismatching problem between the base dictionary and the signal in the existing multi-frequency hopping signal parameter estimation method,a time-frequency parameter estimation method based on atomic norm is proposed.First,the infinite atom set is defined and the atomic norm minimization model is established.Then,the dual problem is used to complete the signal estimation.Finally,the signal frequency is estimated based on the absolute value of the dual polynomial on the unit circle meanwhile transition moment of the signal is estimated by calculating the number of the frequency components.Simulation results show that this algorithm can obtain higher estimation accuracy and performance than existing algorithms under multi-frequency hopping signals.