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第五讲阵列信号的信号子空间处理技术一、阵列信号的信号子空间特性如(2.21)式,t 时刻的测量矢量为y(t)=As(t)+n(t) (5.1)t=t_1,…,t_(N-1)式(5.1)中的 s 和 n 都是随机矢量。若测量噪声与信号互不相关,且测量噪声对各个阵元来说都是独立同分布的,则有R=E{yy~H}=AR_(?)A~H+σ~2I (5.2)其中R_(?)=E{ss~H} (5.3)在实际处理过程中,(5.2)式的求期望平均值是通过时间上多次快拍采样完成的,即令 R 的估计值为
Lecture 5: Signal Subspace Processing Techniques for Array Signals 1. The signal subspace characteristics of an array signal are given by (2.21). The measurement vector at time t is y (t) = As (t) + n (t) = t_1, ..., t_ (N-1) Both s and n in Eq. (5.1) are random vectors. If the measurement noise and the signal are irrelevant to each other, and the measurement noise is independent and identically distributed to each array element, then R = E {yy ~ H} = AR_A ~ H + σ ~ 2I (5.3) In the actual processing, the expected average of (5.2) is obtained by sampling multiple snapshots in time, that is, the estimated value of R is