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Table 2 Equivalent SPR conditions of linear operators

From: Adaptive filters: stable but divergent

γ min(F)=

minΩRe{F(e jΩ)}

>0

 

minΩ{F(e jΩ)+F(e −jΩ)}

>0

γ min(F)=

minx ≠ 0Re{x H F x}

>0

 

minx ≠ 0{x H[F+F H]x}

>0

 

mineig[F+F H]

>0