Signal source positioning method based on BFGS quasi-Newton method

Abstract

The invention discloses a signal source positioning method based on a BFGS quasi-Newton method and mainly aims to solve the problems that median error is introduced in an existing positioning method, positioning results are fuzzy, practicality is not strong, calculation amount is large, positioning results are not stable and the like. The signal source positioning method based on the BFGS quasi-Newton method comprises the following steps of obtaining a measured value reaching time difference and a measured value reaching gain ratio; setting joint positioning error equations through the relationship that the measured valve minus measured error is a real value; obtaining solution of the positioning error equations through the BFGS quasi-Newton method; and obtaining position coordinate values of a target source through the fact that the solution of the positioning error equations plus position coordinate values of a reference monitor node. According to the signal source positioning method based on the BFGS quasi-Newton method, stable and high precision positioning is achieved. The signal source positioning method based on the BFGS quasi-Newton method is suitable for the environment with low signal-noise rate and strong in practicability.

Description

technical field [0001] The present invention belongs to the technical field of communication, and further relates to BFGS (Broyden-Fletcher) based on the time difference of arrival (Time Difference of Arrival, TDOA) of the signal and the gain ratio of arrival (Gain Ratios of Arrival, GROA) in the technical field of wireless communication technology and signal processing -Goldfarb-Shanno) quasi-Newton method for signal source location. The invention can be used in a wireless sensor network or a cellular network to realize the positioning of a target signal source. Background technique [0002] With the rapid development of communication technology and information technology, signal source location technology, as an important research content in the field of signal processing, has been widely used in electromagnetic spectrum monitoring, radar, sensor network, wireless communication and other fields. The positioning method is of great significance. The positioning method base...

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Problems solved by technology

[0007] The technical idea of ​​realizing the present invention is that, in view of the existing positioning method, there are restrictions on the distribution of monitoring nodes, the introduction of intermediate errors, fuzzy solutions, and the large amount of calculation, there is no restriction on the layout of spatial monitoring nodes, and the establishment of positioning In the error equations, the relationship between the auxiliary variables and the position of the target source is directly used. When the solution of the positioning error equation is obtained, the BFGS quasi-Newton method is used, and the estimated value obtained by the least square method is used as the iterative initial value of the BFGS quasi-Newton. The sum of the solution of the positioning error equation and the position coordinates of the reference monitoring node is taken as the position of the unknown target source

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