Steady least square positioning method in nonsynchronous wireless network

Abstract

The invention discloses a steady least square positioning method in the nonsynchronous wireless network. When measurement signals emitted by an unknown target source are spread to different sensors in the sensor network and then forwarded and returned to the unknown target source, measurement signal equivalent transmission distance measuring values based on round arrival time; according to the measurement signal equivalent transmission distance measuring value corresponding to each sensor, an equivalent distance measuring model corresponding to each sensor is obtained; the steady least square problem is established according to the re-described distance measuring models; optimization variables are introduced, the second-order cone relaxation technology is utilized, and the steady least square problem is relaxed into a second-order cone programming problem; and the second-order cone programming problem is solved in the interior point method to obtain the coordinate estimation value of the unknown target source. The method has the advantages that influence of clock drift and transfer time on the positioning precision can be effectively inhibited, the positioning precision is high, and the positioning stability is high.

Description

technical field [0001] The invention relates to a target positioning method, in particular to a robust least square positioning method in an asynchronous wireless network. Background technique [0002] Target positioning plays an indispensable role in the military field such as precise military strikes. In the era of mobile Internet in modern society, with the huge development of commercial market applications such as location-based services, more and more efficient and accurate target positioning research has been obtained. At the same time, target positioning technology has broad application prospects in military reconnaissance, traffic surveillance, home automation, industrial and agricultural control, biomedicine, emergency rescue and disaster relief, etc. Therefore, it is very important to study target positioning methods. As a good supplement to positioning systems such as GPS, object positioning in wireless networks is a classic research topic. [0003] In target pos...

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Problems solved by technology

In the positioning method based on the time difference of arrival, the clock bias is removed, and finally only the joint estimation of the clock drift and the target position is needed, but it should be noted that this method still requires the sensors in the positioning network to be synchronized in time; in In the positioning method based on the round-trip arrival time, it does not require any synchronization between nodes in the positioning network, but it needs to consider the impact of the transit time in the measurement on the positioning results, such as the total feasible region method proposed by some scholars and the least squares method, the two methods first estimate the transit time, and finally obtain the estimated value of the target position through the joint estimation of the clock drift and the target source position, but the error in the transit time estimation will have a large impact on the positioning performance influences

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