On the detection of isolated signals by the partial spectrum of Daubechies wavelet

This paper deals with a detection method of isolated useful signal in the ground noise. We propose a subset of the spectrum of Haar's and Daubechies wavelet. The ratio of the power spectrum sum on the proposed subset and total power spectrum sum is used for the detection process. Also, we use an OU (Ornstein-Uhlenbeck) process for the ground noise model and 1 period sinusoid function for the approximation of the useful signal. We show the appropriateness and effectiveness of the proposed method by some numerical examples.