How to understand the statistical noise level of wavelet bicoherence?

1. How do you calculate wavelet coefficients?
2. What is level in wavelet decomposition?
3. What is scaling in wavelet?
4. What is wavelet based signal analysis?

How do you calculate wavelet coefficients?

The wavelet coefficients β j , k = 〈 f , ψ ˜ j , k 〉 , j < J , of a function f ∈ L 2 ( R ) can be calculated using the fast wavelet transform from the coefficients c J , k = 〈 f , φ ˜ J , k 〉 at a fine scale . In practice, however, the coefficients c J , k cannot be calculated exactly.

What is level in wavelet decomposition?

The basis wavelet functions can be determined by a triplet (j, n, k), where j = 0 … J is the decomposition level (scale); n = 0 … 2 j − 1.

What is scaling in wavelet?

► Scaling a wavelet simply means stretching (or. compressing) it. f(t) = sin(2t) scale factor 2.

What is wavelet based signal analysis?

The basic idea of wavelet analysis is that of multi-resolution signal decomposition introduced by Mallat (i.e., the simultaneous appearance of a signal on multiple scales to study its various features) [5].