Accuracy of Sine Wave Frequency Estimation by Multipoint Interpolated DFT Approach

被引:79
作者
Belega, Daniel [1 ]
Dallet, Dominique [2 ]
Petri, Dario [3 ]
机构
[1] Politehn Univ Timisoara, Fac Elect & Telecommun, Timisoara 300223, Romania
[2] Univ Bordeaux 1, Inst Polytech Bordeux, Lab Integrat Mat Syst, Ecole Natl Super Elect Informat Telecommun Math &, F-33405 Talence, France
[3] Univ Trent, Dept Informat Engn & Comp Sci, I-38100 Trento, Italy
关键词
Discrete Fourier transform (DFT); error analysis; interpolation; parameter estimation; signal processing; uncertainty; ALGORITHMS; WINDOWS;
D O I
10.1109/TIM.2010.2060870
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
This paper focuses on the frequency-domain estimation of the normalized frequency of a sine wave corrupted by a stationary white noise. The weighted multipoint interpolated discrete Fourier transform method is considered, and its effect on both the spectral interference due to the image component and the additive wideband noise is taken into account. In particular, the expression of the combined standard uncertainty of the estimator is derived in the case when the H-term maximum sidelobe decay window ( H >= 2) is used, and the number of interpolation points is 2J + 1( J >= 1). Based on this expression, the number of interpolation points that minimize the estimator-combined uncertainty can be determined. The derived results are validated by means of computer simulations and applied to experimental data.
引用
收藏
页码:2808 / 2815
页数:8
相关论文
共 18 条
[1]  
AGREZ D, 2000, P IMEKO 2000 16 IMEK, V9, P9
[2]   Dynamics of frequency estimation in the frequency domain [J].
Agrez, Dusan .
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2007, 56 (06) :2111-2118
[3]   WINDOWS AND INTERPOLATION ALGORITHMS TO IMPROVE ELECTRICAL MEASUREMENT ACCURACY [J].
ANDRIA, G ;
SAVINO, M ;
TROTTA, A .
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 1989, 38 (04) :856-863
[4]  
[Anonymous], 1995, GUID EXPR UNC MEAS
[5]   Assessment of influence of systematic errors on the precision with which the normalized frequency of a sinusoidal signal is determined by means of a discrete fourier transformation with interpolation [J].
Belega, D. ;
Zaporojan, S. .
MEASUREMENT TECHNIQUES, 2009, 52 (02) :148-154
[6]  
BELEGA D, 2009, P 6 IEEE INT MULT SS, V3, P1
[7]  
BELEGA D, 2008, P IEEE WORKSH ADV ME, P84
[8]  
BELEGA D, 2009, P IEEE WORKSH AMUEM, P34
[9]   Efficiency of the Three-Point Interpolated DFT Method on the Normalized Frequency Estimation of a Sine-Wave [J].
Belega, Daniel ;
Dallet, Dominique .
2009 IEEE INTERNATIONAL WORKSHOP ON INTELLIGENT DATA ACQUISITION AND ADVANCED COMPUTING SYSTEMS: TECHNOLOGY AND APPLICATIONS, 2009, :2-+
[10]   Choice of the acquisition parameters for frequency estimation of a sine wave by interpolated DFT method [J].
Belega, Daniel ;
Dallet, Dominique .
COMPUTER STANDARDS & INTERFACES, 2009, 31 (05) :962-968