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

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 ) ]