Sinusoidal signal extraction from chaotic background using wavelet packet transform

In this paper, we propose a novel signal extraction algorithm from chaotic background using wavelet packet transform (WPT). It has been proved that many nature signals can be modeled as chaos. So, extracting the signals from the chaotic background is very important. Classification features of chaos are often localized both in time and frequency, so extracting the signals form them by general transform methods is very difficult. WPT can provide an arbitrary time-frequency decomposition for the signals. Therefore, by selecting a suitable basis, the signals can be extracted. This paper is mainly concerned with sinusoidal signal extraction from Lorenz chaotic background. The performance of extraction by WPT is given in the paper.