Paper Info
Title
A universal two-way approach for estimating unknown frequencies for unknown number of sinusoids in a signal based on eigenspace analysis of Hankel matrix.
Abstract
We develop a novel approach to estimate the \(n\) unknown constituent frequencies of a noiseless signal that comprises of unknown number, \(n\), of sinusoids of unknown phases and unknown amplitudes. The new two-way approach uses two constraints to accurately estimate the unknown frequencies of the sinusoidal components in a signal. The new approach serves as a verification test for the estimated unknown frequencies through the estimated count of the unknown number of frequencies. The Hankel matrix, of the time domain samples of the signal, is used as a basis for further analysis in the Pisarenko harmonic decomposition. The new constraints, the existence factor and the component factor, have been introduced in the methodology based on the relationships between the components of the sinusoidal signal and the eigenspace of the Hankel matrix. The performance of the developed approach has been tested to correctly estimate any number of frequencies within a signal with or without a fixed unknown bias. The method has also been tested to accurately estimate the very closely spaced low frequencies.
Year
DOI
Venue
2016
10.1007/s11760-015-0770-8
Signal, Image and Video Processing
Keywords
Field
DocType
Harmonic analysis, Frequency estimation, Spectral analysis
Time domain,Mathematical optimization,Pattern recognition,Algorithm,Pisarenko harmonic decomposition,Harmonic analysis,Artificial intelligence,Spectral analysis,Hankel matrix,Amplitude,Mathematics,Eigenvalues and eigenvectors
Journal
Volume
Issue
ISSN
10
3
1863-1711
Citations 
PageRank 
References 
0
0.34
4
Authors
4
Name
Order
Citations
PageRank
Adeel Ahmed101.35
Yim-Fun Hu28316.86
James M. Noras33411.79
Prashant Pillai456846.40