MUSIC位置估计的偏差和方差分析

Xiao-Liang Xu, K. Buckley
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引用次数: 4

摘要

给出了MUSIC位置估计器的统计性能分析。对于多源情况,导出了MUSIC位置估计的偏差和方差的明确而简洁的渐近表达式。这些表达式在广泛的信噪比范围内有效,延伸到MUSIC的分辨率阈值区域,其中分析特别有趣。这些表达式虽然是渐近的,但也可以准确地应用于有限数量的观察情况。与以前的分析相比,这种新的统计分析结果明显减少了复杂的统计和推导,并且更普遍,因为它准确地检查了MUSIC位置估计的偏差和方差。此外,该分析方法可应用于其他基于特征空间的空间频谱定位估计器。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bias and variance analysis of MUSIC location estimates
Presents a statistical performance analysis of the MUSIC location estimator. Explicit and concise asymptotical expressions for both the bias and variance of MUSIC location estimates are derived for multiple source cases. These expressions are valid over a wide range of SNR extending down into the resolution threshold region of MUSIC, where analysis is of particular interest. These expressions, though asymptotical, can also be accurately applied to limited number of observation cases. In comparison with previous analysis, this new statistical analysis results in significantly less complicated statistics and derivations and is more general in that it accurately examines both the bias and variance of MUSIC location estimates. Further, this analysis approach can be applied to other eigenspace spatial-spectrum based location estimators.<>
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