De-noising of 13 C Nuclear Magnetic Resonance Signal Based on Wavelet Spatial Adaptation
In this paper, the de-noising method of wavelet spatial adaptation is discussed. Symmlet wavelet with seven vanishing moments is selected to decompose the noisy 13C nuclear magnetic resonance signal for several levels, the noise mean square σj is estimated by the wavelet details at every level. The wavelet details toward 0 by a threshold σj 2ln n, where n is length of the detail. The recovery signal is reconstructed. The experimental result shows it is valid, this de-noising method reserves singularity character of signal.
Wavelet transform Spatial adaptation Nuclear magnetic resonance De-noising