The invention discloses a graph
signal blind
source separation method in a
white noise environment, and belongs to the technical field of
signal processing. Aiming at the problem that the traditional blind
source separation performance is reduced due to additive
white noise, the invention provides a joint optimization scheme combining blind compression
nonlinear noise suppression and image
smoothing regularization. Firstly, a blind compression function is applied to a noisy observation
image signal for preprocessing; secondly, carrying out mean value removal and whitening
processing on the compressed
signal; then, constructing a graph
Laplacian matrix as a
smoothing operator, establishing a joint diagonalization objective function fusing graph autocorrelation, a
FastICA item and a graph
smoothing regular item, and adopting a
Givens rotation algorithm to iteratively optimize and solve a
separation matrix; and finally, reconstructing a source signal through multiplication of the
separation matrix and the whitening data. According to the method,
noise interference is effectively suppressed through blind compression, signal structure consistency is maintained by using graph smoothing prior, and separation robustness, precision and convergence stability in a strong
noise environment are remarkably improved.