The Mean and Variance of the MUSIC Null-Spectrum

MUSIC Null-Spectrum의 평균과 분산

In this paper we derived the asymptotic distribution of the MUSIC null-spectrum, form which an exact expression of the asymptotic variance of the MUSIC null-spectrum can be obtained. From this result in addition an explicit expression of the normalized standard deviation has been derived and it is shown that the normalized standard deviation depends only on the number of sensors and the number of signals.

이 논문에서는 MUSIC null-spectrum의 점근 분포를 유도하여, 이로부터 MUSIC null-spectrum의 정확한 점근 분산을 얻었다. 또한 이 결과에서 정규표준편차의 표현식을 얻어, 정규표준편차가 수신기와 신호원수를 따라 바뀜을 보였다.