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This work was supported by National Natural Science Foundation of China (Grant No. 61871149).
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Figure 1
(Color online) (a) Comparison of primary computational flops; (b) roots distribution, $8$ sensors ULA, SNR = 10 dB, 100 snapshots, $3$ sources at $10^{\circ}$, $20^{\circ}$, and $30^{\circ}$; (c) RMSE vs. the SNR, $11$ sensors ULA, 100 snapshots, $3$ sources at $20^{\circ}$, $23^{\circ}$, and $30^{\circ}$; (d) simulation time vs. the number of sensors, ULA, 100 snapshots, $2$ signals at $20^{\circ}$ and $30^{\circ}$.
Compute ${\boldsymbol~R}=\frac{1}{N}\sum^N_{t=1}{\boldsymbol~x}(t){\boldsymbol~x}^{\rm~H}(t)$, perform EVD on $\mathrm{Re}({\boldsymbol~R})$ to obtain the real matrix $\mathbb{E}_n$; |
Compute $\{b_k\}^{M-1}_{k=0}$ by ( |
Root $h(\xi)$ for $\{\xi_k\}^{M-1}_{k=1}$, get $\{{z}_{k},{z}^*_{k}\}^{M-1}_{k=1}$ by ( |
Select among $\{{z}_{k},{z}^*_{k}\}^{M-1}_{k=1}$ for $\{{z}_{k},{z}^*_{k}\}^{L}_{k=1}$ by finding the $2L$ ones that lie closest to the unit circle; |
Compute the $2L$ possible DOAs $\{\pm{\theta}\}_{l=1}^L$ by ( |