Correlation-based algorithm for multi-dimensional single-tone frequency estimation

Authors:
Weize Sun;H. C. So;Lanxin Lin
Affiliations:
Department of Electronic Engineering, City University of Hong Kong, Hong Kong;Department of Electronic Engineering, City University of Hong Kong, Hong Kong;Department of Electronic Engineering, City University of Hong Kong, Hong Kong
Venue:
Signal Processing
Year:
2013

Citing 14
Cited 1

Digital spectral analysis: with applications

Digital spectral analysis: with applications
Fundamentals of statistical signal processing: estimation theory

Fundamentals of statistical signal processing: estimation theory
A Multilinear Singular Value Decomposition

SIAM Journal on Matrix Analysis and Applications
Multidimensional rank reduction estimator for parametric MIMO channel models

EURASIP Journal on Applied Signal Processing
Two-stage autocorrelation approach for accurate single sinusoidal frequency estimation

Signal Processing
Deterministic asymptotic Cramér-Rao bound for the multidimensional harmonic model

Signal Processing
Tensor algebra and multidimensional harmonic retrieval in signal processing for MIMO radar

IEEE Transactions on Signal Processing
Fast communication: Structured total least squares approach for efficient frequency estimation

Signal Processing
Linear prediction approach to oversampling parameter estimation for multiple complex sinusoids

Signal Processing
Two-dimensional modal analysis based on maximum likelihood

IEEE Transactions on Signal Processing
Simultaneous Schur decomposition of several nonsymmetric matricesto achieve automatic pairing in multidimensional harmonic retrievalproblems

IEEE Transactions on Signal Processing
Approximate Maximum-Likelihood Algorithms for Two-Dimensional Frequency Estimation of a Complex Sinusoid

IEEE Transactions on Signal Processing
An Eigenvector-Based Approach for Multidimensional Frequency Estimation With Improved Identifiability

IEEE Transactions on Signal Processing
A generalized weighted linear predictor frequency estimation approach for a complex sinusoid

IEEE Transactions on Signal Processing

Frequency estimation of a sinusoidal signal via a three-point interpolated DFT method with high image component interference rejection capability

Digital Signal Processing

Quantified Score

Hi-index	0.08

Visualization

Abstract

In this paper, parameter estimation for a R-dimensional (R-D) single cisoid with R=2 in additive white Gaussian noise is addressed. By exploiting the correlation of the data samples, we construct R single-tone sequences which contain the R-D frequency parameters. Based on linear prediction and weighted linear squares techniques, two proposals are developed for fast and accurate frequency estimation from each constructed sequence. The two devised estimators are proved to be asymptotically unbiased while their variances achieve Cramer-Rao lower bound when the signal-to-noise ratio and/or data length tend to infinity. Computer simulations are also included to compare the proposed approach with conventional R-D harmonic retrieval schemes in terms of mean square error performance and computational complexity.