论文标题
一种计算有效算法，用于估计具有产品项的二维CHIRP模型的参数
A Computationally Efficient algorithm to estimate the Parameters of a Two-Dimensional Chirp Model with the product term
论文作者
论文摘要
CHIRP信号模型及其概括已用于模拟信号处理和时间序列文献中许多天然和人为现象。最近，已经提出了几种方法来估计这些模型。但是，这些方法在统计学上是最佳或计算繁重的，特别是针对二维（2D）CHIRP模型。在本文中，我们考虑了2D CHIRP模型的参数估计问题，并提出了一个计算有效的估计器，并建立了拟议估计器的渐近理论特性。并且观察到所提出的估计器具有与最小二乘估计器（LSE）相同的收敛速率。此外，提出的CHIRP速率参数的估计量在渐近上是最佳的。进行了广泛而详细的数值模拟，这支持了拟议估计器的理论结果。
Chirp signal models and their generalizations have been used to model many natural and man-made phenomena in signal processing and time series literature. In recent times, several methods have been proposed for parameter estimation of these models. These methods however are either statistically sub-optimal or computationally burdensome, specially for two dimensional (2D) chirp models. In this paper, we consider the problem of parameter estimation of 2D chirp models and propose a computationally efficient estimator and establish asymptotic theoretical properties of the proposed estimators. And the proposed estimators are observed to have the same rates of convergence as the least squares estimators (LSEs). Furthermore, the proposed estimators of chirp rate parameters are shown to be asymptotically optimal. Extensive and detailed numerical simulations are conducted, which support theoretical results of the proposed estimators.
