基于状态空间模型谐波恢复的Tls-Hankel法

Tls-Hankel method based on the state space model of harmonic retrieval

将状态空间模型与互高阶累计量相结合,充分利用状态空间模型具有的灵活性、方便性,提出基于状态空间模型谐波恢复的互高阶累计量的Tls-Hankel矩阵分解法,为解决谐波恢复问题提供了一条新的思路。仿真结果表明,在混合色噪声和很低信噪比条件下,该方法在谱估计的分辨率、稳定性及对混合色噪声的抑制等方面均明显优于自高阶谱估计方法。

Combining the state space model with cross-high-order cumulant, the paper proposes a Tls-Hankel matrix decomposition method of cross-high-order cumulant based on the state space model of harmonic retrieval. The method takes advantage of flexibility and convenience of the state space model. It also proposes a new way to harmonic retrieval problem. The simulation results showed that the proposed spectrum estimation method is better than the Esprit method of auto-high-order cumulant in the identification rate and the stability under the conditions of colored noise background and low signal-to-noise ratio as well as in the ability to overcome the colored noise disturbance.