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    3M relationship pattern for detection and estimation of unknown frequencies for unknown number of sinusoids based on Eigenspace Analysis of Hankel Matrix

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    Publication date
    2013
    Author
    Ahmed, A.
    Hu, Yim Fun
    Keyword
    Signal processing; Frequency estimation; Gaussian noise; Hankel matrices; Spectral analysis; Harmonic analysis; Sinusoidal parameter estimation
    
    Metadata
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    Abstract
    Abstract: We develop a novel approach to estimate the n unknown constituent frequencies of a sinusoidal signal that comprises of unknown number, n, of sinusoids of unknown phases and unknown amplitudes. The approach has been applied to multiple sinusoidal signals in the presence of white Gaussian noise with varying signal to noise ratio (SNR). The approach is based on eigenspace analysis of Hankel matrix formed with the samples from averaged frequency spectrum of the signal obtained through multiple measurements. The eigenspace analysis is based on the newly developed 3M relationship which reflects and exploits the relationship between the consecutive sets of Maximum, Middle and Minimum eigenvalues of square symmetric matrix of the Hankel matrix. The 3M relationship exhibits a pattern in line with the order of the Hankel matrix and leads to parametric estimation of the constituent sinusoids. This paper also presents the relationship equation between the size of 3M relationship pattern and the dimensions of the Hankel matrix. The performance of the developed approach has been tested to correctly estimate multiple constituent frequencies within a noisy signal.
    URI
    http://hdl.handle.net/10454/9594
    Version
    No full-text in the repository
    Citation
    Ahmed A. and Hu YF (2013) 3M relationship pattern for detection and estimation of unknown frequencies for unknown number of sinusoids based on Eigenspace Analysis of Hankel Matrix. In: IET Intelligent Signal Processing Conference 2013 (ISP 2013). London, UK: IET. pp.1-6.
    Link to publisher’s version
    http://dx.doi.org/10.1049/cp.2013.2058
    Type
    Conference Paper
    Collections
    Engineering and Informatics Publications

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