Definition
mode
Definition of three-order cumulant
Three-order cumulant
Diagonal of three-order cumulant
Definition 1
E { y ( n ) y ( n + τ 1 ) y ( n + τ 2 ) }
0
Definition 2
E { y ∗ ( n ) y ( n + τ 1 ) y ( n + τ 2 ) }
A 1 A 2 A 3 ω 1 ω 2 ω 3 [ exp j ( ω 1 τ 1 + ω 2 τ 2 + π / 2 ) + exp j ( ω 2 τ 1 + ω 1 τ 2 + π / 2 ) ]
2 A 1 A 2 A 3 ω 1 ω 2 ω 3 [ exp j ( ω 3 τ + π / 2 ) ]
Definition 3
E { y ∗ ( n ) y ( n + τ 1 ) y ∗ ( n + τ 2 ) }
A 1 A 2 A 3 ω 1 ω 2 ω 3 [ exp j ( ω 3 τ 1 − ω 1 τ 2 − π / 2 ) + exp j ( ω 3 τ 1 − ω 2 τ 2 − π / 2 ) ]
A 1 A 2 A 3 ω 1 ω 2 ω 3 [ exp j ( ω 2 τ − π / 2 ) + exp j ( ω 1 τ − π / 2 ) ]