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
收藏
页码：9 / 18
页数：10
相关论文
共 19 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] Complex sinusoid analysis by Bayesian deconvolution of the discrete Fourier transform
    Dublanchet, F
    Duvaut, P
    Idier, J
    MAXIMUM ENTROPY AND BAYESIAN METHODS, 1996, 79 : 323 - 328
  • [4] Efficient Frequency Estimation of Sinusoid Based on Autocorrelation and Discrete Time Fourier Transform
    Song, Huanhuan
    Fan, Lei
    Liu, Jinyu
    Wu, Huihao
    Li, Mingjie
    Qi, Guoqing
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2024, 43 (7) : 4675 - 4689
  • [5] Accurate Frequency Estimation Based on Analytical Interpolated Discrete Time Fourier Transform
    Yang C.
    Li B.
    Hu X.
    Fu Z.
    Diangong Jishu Xuebao/Transactions of China Electrotechnical Society, 2022, 37 (06): : 1338 - 1350
  • [6] Phase correction of discrete Fourier transform coefficients to reduce frequency estimation bias of single tone complex sinusoid
    Liao, Jan-Ray
    Chen, Chun-Ming
    SIGNAL PROCESSING, 2014, 94 : 108 - 117
  • [7] Applications of the discrete-time Fourier transform to data analysis
    Dayne Sorvisto
    International Journal of Data Science and Analytics, 2023, 16 : 435 - 440
  • [8] Applications of the discrete-time Fourier transform to data analysis
    Sorvisto, Dayne
    INTERNATIONAL JOURNAL OF DATA SCIENCE AND ANALYTICS, 2023, 16 (04) : 435 - 440
  • [9] Sparse Channel Estimation From Discrete-Time Fourier Transform Beam Measurements
    Kapetanovic, Dzevdan
    IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, 2023, 22 (09) : 6356 - 6368
  • [10] 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
12