NDLI: Flexible and Accurate Frequency Estimation for Complex Sinusoid Signal by Interpolation Using DFT Samples

Content Provider	IET Digital Library
Author	G, Jinzhi X I A N I, Wei C U N, Qing S H E
Abstract	A flexible and accurate frequency estimator is first proposed for frequency estimation of a complex sinusoid weighted with a rectangular window function in additive white Gaussian noise. This proposed frequency estimator can be operated in the application of an arbitrary length discrete Fourier transform where the original input data is padded with any zeroes, which makes it more flexible in practice. The proposed frequency estimator utilizes the maximum sample value and its two adjacent samples in the frequency domain to perform the fine frequency estimation with unbiased results obtained. Then a modified frequency estimator is proposed to estimate the frequency when the complex sinusoid signal is weighted with different nonrectangular window functions. Although the modified frequency estimator is nonanalytic and biased, it can still improve the estimation performance for certain applications. Simulation results demonstrate that both of the proposed frequency estimators are effective to achieve the high frequency estimation accuracy. And the root mean square errors of the proposed frequency estimators approach the Cramer-Rao bound when the signal-to-noise ratio is large enough to make the coarse frequency estimation work effectively.
Starting Page	109
Ending Page	114
Page Count	6
ISSN	10224653
Volume Number	27
e-ISSN	20755597
Issue Number	Issue 1, Jan (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/cje/27/1
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/cje.2017.09.019
Journal	Chinese Journal of Electronics
Publisher Date	2018-01-01
Access Restriction	Open
Rights Holder	© Chinese Institute of Electronics
Subject Keyword	Accurate Frequency Estimation Additive White Gaussian Noise Channel Adjacent Samples Arbitrary Length Discrete Fourier Transform Coarse Frequency Estimation Complex Sinusoid Signal DFT Samples Discrete Fourier Transform Fine Frequency Estimation Flexible Frequency Estimation Frequency Estimation Gaussian Noise Integral Transforms Interpolation Interpolation And Function Approximation Nonrectangular Window Function Numerical Analysis Signal Processing Signal Processing And Detection Signal Processing Theory Signal to Noise Ratio Statistics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Electrical and Electronic Engineering

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