Simple and Accurate Bias and Variance Expressions of Some Instantaneous Frequency Estimators including the DESAs Sewim Hazal Uz 1, Erdoğan Dilaveroğlu 2* 1Bursa Uludağ University , Bursa , Turkey 2Bursa Uludağ University , Bursa , Turkey
IEEE S. Uz , E. Dilaveroğlu , "Simple and Accurate Bias and Variance Expressions of Some Instantaneous Frequency Estimators including the DESAs", SETSCI Conference Proceedings, vol. 4, pp. 537-540, 2019.
BibTeX
@INPROCEEDINGS{citation,
author = {Uz , Sewim Hazal and Dilaveroğlu , Erdoğan },
title = {Simple and Accurate Bias and Variance Expressions of Some Instantaneous Frequency Estimators including the DESAs},
year = {2019},
volume = {4},
pages = {537-540},
publisher = {SETSCI Conference Proceedings},
abstract = {Instantaneous estimation of the frequency of a real sinusoid in noise from a small number of data samples is an important problem in the signal processing area. Several frequency estimators are proposed for this problem in the literature. In this paper, some of the popular ones including the discrete energy separation algorithms (DESAs) are considered. Using a Taylor series expansion technique, very simple and yet accurate closed form expressions for the bias and the variance of the estimators are derived. Computer simulations are included to validate the theoretical results.},
doi = {},
}
RIS
TY - CONF
AU - Uz , Sewim Hazal
AU - Dilaveroğlu , Erdoğan
TI - Simple and Accurate Bias and Variance Expressions of Some Instantaneous Frequency Estimators including the DESAs
PY - 2019
PB - SETSCI Conference Proceedings
VL - 4
AB - Instantaneous estimation of the frequency of a real sinusoid in noise from a small number of data samples is an important problem in the signal processing area. Several frequency estimators are proposed for this problem in the literature. In this paper, some of the popular ones including the discrete energy separation algorithms (DESAs) are considered. Using a Taylor series expansion technique, very simple and yet accurate closed form expressions for the bias and the variance of the estimators are derived. Computer simulations are included to validate the theoretical results.
DO -
ER -
EndNote
%0 Book
%A Uz , Sewim Hazal
%A Dilaveroğlu , Erdoğan
%T Simple and Accurate Bias and Variance Expressions of Some Instantaneous Frequency Estimators including the DESAs
%D 2019
%I {SETSCI Conference Proceedings}
%J {SETSCI Conference Proceedings}
%V 4
%P 537-540
%D 2019
%M doi:
Open Access
Simple and Accurate Bias and Variance Expressions of Some Instantaneous Frequency Estimators including the DESAs
Sewim Hazal Uz 1, Erdoğan Dilaveroğlu 2* 1Bursa Uludağ University , Bursa , Turkey 2Bursa Uludağ University , Bursa , Turkey * Corresponding author: dilaver@uludag.edu.tr
Instantaneous estimation of the frequency of a real sinusoid in noise from a small number of data samples is an important problem in the signal processing area. Several frequency estimators are proposed for this problem in the literature. In this paper, some of the popular ones including the discrete energy separation algorithms (DESAs) are considered. Using a Taylor series expansion technique, very simple and yet accurate closed form expressions for the bias and the variance of the estimators are derived. Computer simulations are included to validate the theoretical results.
Keywords - Instantaneous frequency estimation; Real sinusoid; DESAs; Bias and variance analysis.
[1] P. Maragos, J. F. Kaiser, and T. F. Quatieri, “On separating amplitude from frequency modulations using energy operators,” in Proc. ICASSP-92, vol. 2, pp. 1-4.
[2] L. B. Fertig and J. H. McClellan, “Instantaneous frequency estimation using linear prediction with comparisons to the DESAs,” IEEE Signal Processing Letters, vol. 3, no. 2, pp. 54-56, February 1996.
[3] A. Papoulis, Probability, Random Variables, and Stochastic Processes, 3rd ed., New York: McGraw-Hill, 1991.
[4] H. C. So, Y. T. Chan, K. C. Ho, and Yuan Chen, “Simple formulas for bias and mean square error computation,” IEEE Signal Processing Magazine, vol. 30, no. 4, pp. 162-165, July 2013.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
