The application discloses a
signal source positioning method and
system based on zero norm
outlier separation, and belongs to the technical field of
wireless communication and positioning, comprising the following steps: acquiring
distance measurement values between a
signal source and multiple sensors, and constructing a pseudo-
linear measurement model; constructing a projection matrix according to the pseudo-
linear measurement model, eliminating source position variables in the pseudo-
linear measurement model by using the projection matrix, and constructing an underdetermined observation equation; solving the underdetermined observation equation by using an iterative solving mode, and restoring an
outlier deviation by using a hard threshold mode in the solving process; correcting the acquired
distance measurement values according to the restored
outlier deviation, and constructing an
optimization problem with a quadratic equality constraint according to the corrected
distance measurement values; and solving the
optimization problem with the quadratic equality constraint by using a
Lagrange multiplier method, so that the position coordinates of the
signal source are obtained. By separating and eliminating sparse outliers, and combining with geometric constraint optimization, the application realizes high-precision and high-robustness
signal source positioning.