In this letter, a novel angular jerk estimator (AJE) in the time-frequency (TF) domain is proposed. For this purpose, the properties of the short-time Fourier transform (STFT) are taken into consideration, which allows for computation of the instantaneous angular jerk for each time and frequency $\boldsymbol{(t,\omega)}$ coordinate. Additionally, apart from the introduced AJE, two novel forms of the instantaneous chirp rate (CR) and the instantaneous frequency (IF) estimators are provided, which is an improvement on the capabilities of these tools when compared to approaches existing in the literature. The proposed estimators are presented in analytic form, tested from the perspective of their precision, and compared to the Cramer-Rao Lower Bound (CRLB) as well as validated under numerical experiments.

中文翻译：

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时频域中的瞬时角急动估计

在这封信中，提出了一种在时频（TF）域中的新型角抖动估计器（AJE）。为此，考虑了短时傅立叶变换（STFT）的属性，该属性可以计算每个时间和频率的瞬时角加速度$ \ boldsymbol {（t，\ omega）} $协调。此外，除了引入的AJE，还提供了两种新颖形式的瞬时线性调频率（CR）和瞬时频率（IF）估计量，与文献中现有方法相比，这是对这些工具功能的改进。提出的估计量以解析形式显示，从其精度角度进行测试，并与Cramer-Rao下界（CRLB）进行比较，并在数值实验中进行了验证。