Accuracy analysis of complex sinusoid amplitude and phase estimation by means of the interpolated discrete-time Fourier transform algorithm

被引：5

作者：

Belega, Daniel ^{[1
]}

Petri, Dario ^{[2
]}

Dallet, Dominique ^{[3
]}

机构：

[1] Politehn Univ Timisoara, Dept Measurements & Opt Elect, Bv V Parvan,Nr 2, Timisoara 300223, Romania

[2] Univ Trento, Dept Ind Engn, I-38123 Trento, Italy

[3] Univ Bordeaux, IMS Lab, Bordeaux IPB, CNRS,UMR5218, 351 Cours Liberat,Batiment A31, F-33405 Talence, France

来源：

DIGITAL SIGNAL PROCESSING | 2016年 / 59卷

关键词：

Interpolated Fourier algorithm; Parameters estimation; Statistical analysis; Windowing; RESOLUTION FREQUENCY ESTIMATION; 3 DFT SAMPLES; MULTIFREQUENCY SIGNAL; PARAMETER-ESTIMATION; COEFFICIENTS; WINDOWS; DOMAIN; POWER;

D O I：

10.1016/j.dsp.2016.07.018

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper the accuracy of the complex sinusoid amplitude and phase estimators provided by the Interpolated Weighted Discrete Time Fourier Transform (IpWDTFT) algorithm is analyzed. It is shown that the use of the WDTFT spectral sample corresponding to the estimated sinusoid frequency allows to minimize the estimator asymptotic Mean Square Error (MSE) due to additive wideband noise. Also, the expression of the asymptotic expected sum-squared fitting error in the reconstruction of the complex sinusoid by means of the IpWDTFT algorithm is derived. All the derived expressions are verified through computer simulations. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：9 / 18

页数：10

共 6 条

[1] Accurate frequency estimation of a noisy sine-wave by means of an interpolated discrete-time Fourier transform algorithm
Belega, Daniel
Petri, Dario
Dallet, Dominique
MEASUREMENT, 2018, 116 : 685 - 691
[2] ESTIMATION OF THE AMPLITUDE SQUARE USING THE INTERPOLATED DISCRETE FOURIER TRANSFORM
Lusin, Tomaz
Agrez, Dusan
METROLOGY AND MEASUREMENT SYSTEMS, 2011, 18 (04): : 583 - 596
[3] Phase correction of discrete Fourier transform coefficients to reduce frequency estimation bias of single tone complex sinusoid
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SIGNAL PROCESSING, 2014, 94 : 108 - 117
[4] Accuracy analysis of the normalized frequency estimation of a discrete-time sine-wave by the average-based interpolated DFT method
Belega, Daniel
MEASUREMENT, 2013, 46 (01) : 593 - 602
[5] Analysis of parameter estimation using the sampling-type algorithm of discrete fractional Fourier transform
Bing DENG
Jun-bao LUAN
Shi-qi CUI
Defence Technology, 2014, 10 (04) : 321 - 327
[6] Analysis of parameter estimation using the sampling-type algorithm of discrete fractional Fourier transform
Deng, Bing
Luan, Jun-bao
Cui, Shi-qi
DEFENCE TECHNOLOGY, 2014, 10 (04): : 321 - 327

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