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Table 2 Arithmetic complexity of 2D- l 1 -SVD and l 1 -SVD

From: Decoupled 2D direction-of-arrival estimation based on sparse signal reconstruction

Methods

Arithmetic complexity

l 1-SVD

\(O\left ({{K^{3}}K_{\alpha }^{3}K_{\beta }^{3}} \right)\)

2D- l 1-SVD

α

\(O\left ({{K^{3}}{N^{3}}K_{\alpha }^{3}} \right)\)

\(O\left ({{K^{3}}{N^{3}}K_{\alpha }^{3}} \right) + {P}O\left ({{K^{3}}K_{\beta }^{3}} \right)\)

 

β

\(O\left ({{K^{3}}K_{\beta }^{3}} \right)\)

 

Enhanced-2D- l 1-SVD

\(O\left ({{K^{3}}{N^{3}}K_{\alpha }^{3}} \right) + {P_{\alpha } }O\left ({{K^{3}}K_{\beta }^{3}} \right) + O\left ({{K^{3}}{M^{3}}K_{\beta }^{3}} \right) + {P_{\beta } }O\left ({{K^{3}}K_{\alpha }^{3}} \right)\)