1. Sensor Position Self-Calibration for Nominal Linear Array Under Small Positional Error
- Author
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Song, Shuoshuo, Ma, Xiaofeng, Zhou, Siyi, and Sheng, Weixing
- Abstract
Real-time calibration of time-varying sensor position errors for flexible arrays is crucial to alleviate the array performance deterioration. Previous studies shown that sensor arrays of any shape can be self-calibrated except for the nominal linear array with small sensor position errors. In this article, the self-calibration restriction of the nominal linear array is resolved, and an improved self-calibration algorithm is proposed to jointly estimate source direction of arrival (DOAs) and sensor positions. First, the identifiability of unknown parameters including sensor positions and source DOAs in array receiving model is analyzed. It is found that the failure of self-calibration for the nominal linear array is caused by the ambiguity of sensor position estimations under unknown source DOAs. Next, the accurate priori distance of one sensor pair in the array is introduced to solve such ambiguity. Moreover, the hybrid Cramér–Rao bound is also derived to verify the identifiability of unknown parameters under such distance priori. Finally, an improved sensor position self-calibration algorithm is proposed, which has lower computational complexity compared with the state-of-the-art self-calibration method. Numerical results demonstrate the self-calibration capability of the nominal linear array with small positional errors under the distance priori and the effectiveness of the proposed algorithm.
- Published
- 2024
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