# Nonlinear wavelets transform?

Is wavelet a Nonlinear transform, or Not?
specifically, continuous wavelet transform with morlet function.
I am studying behavior of a dynamic system, and it has nonlinear behaviour. can I employ wavelet transform?

The wavelet transform $W[s(t)]$ of a signal $s(t)$ is linear because $$W[a s_1(t) + b s_2(t)]=a W[s_1(t)]+b W[s_2(t)]$$ for real or complex $a$ and $b$.
• Actually, I am writing a report, I used cwt to study my nonlinear system, can I acclaim that wavelet transform is suitable for analyzing non-linear system? @Jazzmaniac – Electricman Nov 28 '13 at 11:08