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Location and Gain/Phase Calibration Techniques for Array Sensors with known Sources

기준신호원을 이용한 배열센서의 위치, 이득, 위상 보정기법

  • Received : 2012.03.07
  • Published : 2012.09.25

Abstract

The geometrical and electrical errors of array sensors can severely degrade the performance of array sensor system. Various calibration techniques are developed to alleviate this problem. In this paper, two different calibration methods with respect to location, gain and phase of array sensors are presented. One method applies the first-order Taylor series expansion to approximate the true steering vector from the nominal values of array sensors. Then a set of equations is formed by using the null characteristics of the MUSIC spectrum to estimate errors of location, gain and phase of array sensors. Another method estimates these errors based on the data covariance matrix of pilot sources. From the simulations, it is demonstrated that two calibration algorithms calibrated an array system successfully. In addition to that, Fistas and Manikas's algorithm is more robust against noise than Ng and Lie's one when SNR is from 10dB to 50dB.

기하학적 오차와 전기적 오차는 배열센서 시스템의 성능을 심각하게 저하할 수 있다. 이러한 문제를 완화시키기 위해 다양한 보정 기술이 개발되었다. 본 논문에서는 배열센서의 위치오차, 이득오차, 위상오차를 보상하는 두 가지 기술을 비교하였다. 그 중 하나의 방법은 1차 테일러급수 전개를 통해 배열센서의 명목상 값으로부터 실제 조향 벡터를 예측한 후 MUSIC 알고리즘의 null 특성을 이용하여 형성되는 몇 가지 식을 이용하여 센서의 실제 위치, 이득, 위상을 추정한다. 또 다른 하나의 방법은 기준신호원의 공분산 행렬을 이용하여 이러한 오차들을 예측한다. 시뮬레이션을 통해 두 가지 보정기술 모두 성공적으로 오차를 보정하였고, 10dB~50dB SNR 범위에서 Fistas and Manikas의 알고리즘이 Ng and Lie의 알고리즘 보다 노이즈에 더 강건하다는 것을 증명하였다.

Keywords

References

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