The invention discloses a
signal source number
estimation method based on Gerschgorin circle transformation and modified Rao
score inspection. The method comprises the steps: firstly, calculating a sample
covariance matrix of an observation
signal; then, carrying out Gerschgorin circle transformation on the sample
covariance matrix, and by utilizing the estimated value of the characteristic valueof the sample
covariance matrix obtained after transformation and on the basis of the modified Rao
score inspection thought, detecting the structural characteristics of the large-dimensional
covariance matrix; and then, by detecting whether the
covariance matrix of the
noise part in the observation
signal is in direct proportion to a unit matrix, constructing an observation statistical magnitude used for establishing an information theory criterion likelihood function, wherein the statistical magnitude is also the statistical magnitude of a sample characteristic value; and on the basis, carrying out
signal source number
estimation through a generalized
Bayesian information criterion. The method provided by the invention has relatively wide applicability, is suitable for
signal source number
estimation under a classic asymptotic
system, and is also suitable for
signal source number estimation under a common asymptotic
system; and the method is suitable for signal source number estimation in a white
Gaussian noise environment and is also suitable for signal source number estimation in a color
noise environment.