Study of Lyapunov Exponent of the Chaotic Signal Wave Interception

Takens's Delay Embedding Theorem is used in the paper to reconstruct the phase space of Lorenz chaotic signal, the intercepted length of which is researched with the ensurance of the Lyapunov exponents characteristic of Lorenz chaotic signal. And the method of intercepted length is proposed when reconstructing Lorenz chaotic signal without destroying Lyapunov exponents characteristic. Simulation results show that it is effective to the intercepted length of chaotic signal.