Open Access

ARTICLE

Two-Dimensional Interpolation Criterion Using DFT Coefficients

Yuan Chen¹, Liangtao Duan¹, Weize Sun^{2, *}, Jingxin Xu³

1 University of Science & Technology Beijing, Beijing, China.
2 ShenZhen University, Shenzhen, China.
3 Department of Housing and Public Works, Queensland Government, Brisbane, Australia.

* Corresponding Author: Weize Sun. Email: .

Computers, Materials & Continua 2020, 62(2), 849-859. https://doi.org/10.32604/cmc.2020.07115

Abstract

In this paper, we address the frequency estimator for 2-dimensional (2-D) complex sinusoids in the presence of white Gaussian noise. With the use of the sinc function model of the discrete Fourier transform (DFT) coefficients on the input data, a fast and accurate frequency estimator is devised, where only the DFT coefficient with the highest magnitude and its four neighbors are required. Variance analysis is also included to investigate the accuracy of the proposed algorithm. Simulation results are conducted to demonstrate the superiority of the developed scheme, in terms of the estimation performance and computational complexity.

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Citations