A statistically efficient algorithm for estimating the frequencies of 2-D harmonics in multiplicative and additive noise

作者：Xing Jing; Liu Zhihui; Peng Huiming; Bian Jiawen^*

来源：Journal of Computational Information Systems, 2012, 8(24): 10231-10242.

• 2-D harmonics
• Computation time
• Consistent estimators
• Convergence rates
• Iterative algorithm
• Least-squares estimator
• Mean squared error
• Online implementation

In this paper, a computational and statistical efficient three-step iterative algorithm is used to estimate the frequencies of two-dimensional (2-D) harmonics in multiplicative and additive noise. It is observed that the estimators are consistent and work quite well in terms of biases and mean squared errors. The convergence rates of the estimators attain Op(M-3/2N-1/2) and Op(M-1/2N-3/2) for each pair of frequencies, which are the convergence rates of the least squares estimators (LSEs) in presence of only additive noise. Moreover, the proposed algorithm needs only finite iteration to work, so it save much computation time and can be used for online implementation.

• 出版日期2012