A new concept ‘Factor Analysis technique’ for array processing is introduced in this paper. The model which Factor Analysis considers closely resembles the data model received by array. So the properties of it have been proven useful to estimate the source numbers for DOA estimation. This paper presents the algorithmic approach of least square criterion to estimate the source number and spatially colored noise from the covariance matrix of received signals based on Factor Analysis model. The estimation performance is illustrated by computer simulation with comparisons to traditional methods.%空间色噪声环境下的信源数估计是阵列信号处理研究的热点之一.本文引入因子分析(Factor Analysis)模型模拟阵列接收协方差矩阵,在色噪声条件下提出了基于最小均方准则求解构成协方差矩阵的因子,进而构造统计量判断信源数量并完成空间色噪声的估计.通过计算机仿真对比已有的其他方法,验证了本文提出方法的有效性和优越性.
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