A novel approach for the parameter estimation of polynomial phase signals (PPSs) is proposed. Unlike the existing methods, the proposed method uses the spectrum phase (SP) rather than the traditional instantaneous phase (IP) for parameter estimation. First, we present an unwrapping procedure for the SP. Second, we derive a method that can convert the unwrapped SP into the IP and then perform polynomial regression on the IP to obtain the estimates of the parameters. Finally, we use the O'Shea refinement strategy to refine the estimates to achieve the Cramér-Rao lower bound. The simulation results show that the proposed technique has a lower signal-to-noise ratio threshold and is less complex than the existing methods for high-order PPSs.

中文翻译：

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使用频谱相位的多项式相位信号的新参数估计

提出了一种用于多项式相位信号 (PPS) 参数估计的新方法。与现有方法不同，所提出的方法使用频谱相位（SP）而不是传统的瞬时相位（IP）进行参数估计。首先，我们提出了一个 SP 的解包过程。其次，我们推导出一种方法，可以将展开的 SP 转换为 IP，然后对 IP 进行多项式回归以获得参数的估计值。最后，我们使用 O'Shea 细化策略来细化估计值以实现 Cramér-Rao 下限。仿真结果表明，所提出的技术具有较低的信噪比阈值，并且比现有的高阶 PPS 方法更简单。