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LI Ning
SHI Tielin
School of
Mechanical Science
and Engineering,
Huazhong University of Science
and Technology,
Wuhan 430074, China
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ESTIMATION OF THE NUMBER OF
CORRELATED SOURCES WITH
COMMON FREQUENCIES BASED
ON POWER SPECTRAL DENSITY*
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 simulated.
Key words:
Blind signal Number of sources Power spectral density |