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ESTIMATION OF THE NUMBER OF CORRELATED SOURCES WITH COMMON FREQUENCIES BASED ON POWER SPECTRAL DENSITY

Tielin Shi

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Abstract

Blind source separation and estimation of the number of sources usually demand that the number of sensors should be greater than or equal to that of the sources,which,however,is very difficult to satisfy for the complex systems.A new estimating method based on power spectral density (PSD)is presented.When the relation between the number of sensors and that of sources is unknown, the PSD matrix is first obtained by the ratio of PSD of the observation signals,and then the bound of the number of correlated sources with common frequencies can be estimated by comparing every column vector of PSD matrix.The effectiveness of the proposed method is verified by theoretical analysis and experiments,and the influence of noise on the estimation of number of source is simu- lated.

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What this paper is about

Blind source separation and estimation of the number of sources usually demand that the number of sensors should be greater than or equal to that of the sources,which,however,is very difficult to satisfy for the complex systems.A new estimating method based on power spectral density (PSD)is presented.When the relation between the number of sensors and that of sources is unknown, the PSD matrix is first obtained by the ratio of PSD of the observation signals,and then the bound of the number of correlated sources with common frequencies can be estimated by comparing every column vector of PSD matrix.The effectiveness of the proposed method is verified by theoretical analysis and experiments,and the influence of noise on the estimation of number of source is simu- lated.

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Available abstract

Blind source separation and estimation of the number of sources usually demand that the number of sensors should be greater than or equal to that of the sources,which,however,is very difficult to satisfy for the complex systems.A new estimating method based on power spectral density (PSD)is presented.When the relation between the number of sensors and that of sources is unknown, the PSD matrix is first obtained by the ratio of PSD of the observation signals,and then the bound of the number of correlated sources with common frequencies can be estimated by comparing every column vector of PSD matrix.The effectiveness of the proposed method is verified by theoretical analysis and experiments,and the influence of noise on the estimation of number of source is simu- lated.

Key concepts: Spectral density, Mathematics, Noise (video), Power (physics), Matrix (chemical analysis), Upper and lower bounds, Algorithm, Statistics

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