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