An approach for automatic construction of the wavelet-domain de-noising procedure for THz pulsed spectroscopy signal processing

De-noising of terahertz pulsed spectroscopy (TPS) signals is an essential problem, since a noise in the TPS data samples makes correct reconstruction of sample spectral dielectric properties and internal structure challenging. It is especially important for the spectral regions where detector sensitivity is typically low. A lot of effective techniques for 1D and 2D signal de-noising based on the signal processing in wavelet-domain have been developed in recent times. The present work demonstrates the ability to perform effective de-noising of pulsed spectroscopy signals using the algorithm of the Fast Wavelet Transform (FWT). The results of optimal wavelet basis selection and the results of adaptive wavelet-domain filter selection are reported. The performance of the wavelet-domain de-noising algorithm implementation is also discussed. A technique for automatic construction of the wavelet-domain de-noising procedure is offered.