Iterative frequency estimation by interpolation on Fourier coefficients

被引：366

作者：

Aboutanios, E ^{[1
]}

Mulgrew, B ^{[1
]}

机构：

[1] Univ Edinburgh, Sch Engn & Elect, Edinburgh EH9 3JL, Midlothian, Scotland

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2005年 / 53卷 / 04期

关键词：

D O I：

10.1109/TSP.2005.843719

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：

The estimation of the frequency of a complex exponential is a problem that is relevant to a large number of fields. In this paper, we propose and analyze two new frequency estimators that interpolate on the Fourier coefficients of the received signal samples. The estimators are shown to achieve identical asymptotic performances. They are asymptotically unbiased and normally distributed with a variance that is only 1.0147 times the asymptotic Cramer-Rao bound (ACRB) uniformly over the frequency estimation range.

引用

页码：1237 / 1242

页数：6

共 50 条

[41] On estimation of Fourier coefficients in whole module form
Salie, H
MATHEMATISCHE ZEITSCHRIFT, 1933, 36 : 263 - 278
[42] THE FINAL ESTIMATION FOR FOURIER COEFFICIENTS BY ORTHONORMED SYSTEMS
MASLOV, AV
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1985, (08): : 23 - 34
[43] Fourier-sparse interpolation without a frequency gap
Chen, Xue
Kane, Daniel M.
Price, Eric
Song, Zhao
2016 IEEE 57TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE (FOCS), 2016, : 741 - 750
[44] Analytical solutions for frequency estimators by interpolation of DFT coefficients
Liao, Jan-Ray
Lo, Shyng
SIGNAL PROCESSING, 2014, 100 : 93 - 100
[45] Approximation of Functions on a Square by Interpolation Polynomials at Vertices and Few Fourier Coefficients
Zhang, Zhihua
JOURNAL OF FUNCTION SPACES, 2017, 2017
[46] An iterative method for instantaneous frequency estimation
Akan, A
Yalçin, M
Chaparro, LF
ICECS 2001: 8TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, VOLS I-III, CONFERENCE PROCEEDINGS, 2001, : 1335 - 1338
[47] ITERATIVE FILTERING FOR MULTIPLE FREQUENCY ESTIMATION
LI, TH
KEDEM, B
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (05) : 1120 - 1132
[48] Iterative Hierarchical True Motion Estimation for Temporal Frame Interpolation
Veselov, Anton
Gilmutdinov, Marat
2014 IEEE 16TH INTERNATIONAL WORKSHOP ON MULTIMEDIA SIGNAL PROCESSING (MMSP), 2014,
[49] An iterative procedure for estimation of variable coefficients in a hyperbolic system
FernandezBerdaguer, EM
Santos, JE
Sheen, D
APPLIED MATHEMATICS AND COMPUTATION, 1996, 76 (2-3) : 213 - 250
[50] Estimation of Carrier Frequency Offset Plagued by IQ Mismatch Using Least-Squares Interpolation of the DFT Coefficients
Kuang, Yin
Li, Shuxiao
Han, Xun
Wen, Wei
Wang, Yu
Li, Mingyu
IEEE ACCESS, 2024, 12 : 107505 - 107515

← 1 2 3 4 5 →