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Table 1 List of all 26 solutions to Equation ( 7) for κ 4 ( a ) 2 (second column), corresponding value of κ 4 ( y ) (third column) and condition for the solution g to be real-valued (last column)

From: Separation of instantaneous mixtures of a particular set of dependent sources using classical ICA methods

Separating gT=(g 1,g 2,g 3) κ 4 ( y ) Number of solutions Solution inR
yes (±1,0,0) κ 4 ( a ) 2  
yes (0,±1,0) κ 4 ( a ) 2  
no ± 1 2 , ± 1 2 , 0 3 κ 4 ( a ) + 2 4 4  
yes (0,0,±1) -2 2  
no 0 , ± - 2 κ 4 ( a ) - 2 , ± κ 4 ( a ) κ 4 ( a ) - 2 2 κ 4 ( a ) 2 - κ 4 ( a ) 4 κ 4 ( a ) 0
no ± - 2 κ 4 ( a ) - 2 , 0 , ± κ 4 ( a ) κ 4 ( a ) - 2 2 κ 4 ( a ) 2 - κ 4 ( a ) 4 κ 4 ( a ) 0
no ± - 4 3 κ 4 ( a ) - 6 , ± - 4 3 κ 4 ( a ) - 6 , ± 3 κ 4 ( a ) + 2 3 κ 4 ( a ) - 6 2 ( 3 κ 4 ( a ) + 2 ) 3 ( 2 - κ 4 ( a ) ) 8 κ 4 ( a ) - 2 3