Multi-station and multiple-external-radiation-source radar bistatic-range positioning method under receiving station position error

Abstract

The invention discloses a multi-station and multiple-external-radiation-source radar bistatic-range positioning method under a receiving station position error. The method comprises grouping the measured data of a multi-station and multi-external-radiation-source radar system according to a receiving station; selecting the distance from a target to the receiving station as an auxiliary variable; pseudo-linearizing each set of bistatic-range nonlinear measurement equation; integrating the statistical characteristics of the receiving station position measured noise and the bistatic-range measured noise into a target positioning algorithm for designing weights, and establishing a cost function based on weighted least squares; on this basis, constructing a constraint weighted least squares localization model by using the association of the auxiliary variable and the target position as a constraint condition, and optimizing and solving the model by a Lagrange multiplier method; finally, weighting and combining the various estimated results to obtain the final estimated target position. The method reduces the complexity of positioning and reduces the influence of errors on the target positioning performance under the premise of ensuring the estimation performance.

Description

technical field [0001] The invention belongs to the field of radar data processing, and in particular relates to a multi-station and multi-external radiation source radar double-base distance positioning method under the position error of a receiving station. Background technique [0002] External radiation source radar uses third-party non-cooperative signal sources (such as mobile phone communication signals, TV broadcast signals and enemy radar information, etc.) to detect targets, and receives signals and direct wave signals emitted from third-party radiation sources scattered by the target through the receiving station. The coherent processing obtains the time delay and Doppler frequency difference of the signal. The time-delay observation directly corresponds to the sum of the propagation distance of the signal from the external radiation source to the receiving station after being reflected by the target, also known as Bistatic Range (BR). In the multi-transmit and m...

AI Technical Summary

Problems solved by technology

Based on the multi-step weighted least squares estimation method, when the measurement noise is small, the positioning accuracy can reach the Cramereau lower bound, but when the noise increases to a certain extent, the positioning error increases sharply, and the threshold effect appears

[0004] The estimation method described above assumes precise knowledge of the location of the receiving station

However, in the actual positioning of external radiation sources, the receiving station is often installed on a moving platform such as a satellite, an aircraft, a ship, or a ground vehicle, and its position cannot be obtained accurately, and there is a certain error in the position of the receiving station.

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