Optimal wavelet analysis for THz-TDS pulse signals

Jihong Pei; Peiling Ye; Weixin Xie

doi:10.1117/12.819905

16 February 2009 Optimal wavelet analysis for THz-TDS pulse signals

Jihong Pei, Peiling Ye, Weixin Xie

Proceedings Volume 7277, Photonics and Optoelectronics Meetings (POEM) 2008: Terahertz Science and Technology; 727708 (2009) https://doi.org/10.1117/12.819905
Event: Photonics and Optoelectronics Meetings, 2008, Wuhan, China

Abstract

A THz time-domain spectroscopy (THz-TDS) pulse signal is a temporal response of THz reference pulse. Although the field of THz-TDS signal processing and analysis techniques is relatively unexplored, work has been reported in this field. One of those is wavelet analysis approach of terahertz signals. It has been shown that the wavelet transform is an efficient representation of THz pulses due to their pulse-like nature. Unlike Fourier analysis, which only uses infinite sinusoids as the basis functions, in wavelet analysis, there are a large number of wavelet bases for different applications, and each of these wavelet bases exhibits different properties. In this paper, the problem that how to select an appropriate wavelet basis for representation and analysis of THz-TDS signals is discussed by lots of comparing experiments. Three criterions, which are wavelet basis efficiency index (WBEI), pulse spectral relative entropy (PSRE) and pulse spectral cumulative error (PSCE), are presented to determine a preferable mother wavelet for a given THz-TDS reference pulse.

Citation Download Citation

Jihong Pei, Peiling Ye, and Weixin Xie "Optimal wavelet analysis for THz-TDS pulse signals", Proc. SPIE 7277, Photonics and Optoelectronics Meetings (POEM) 2008: Terahertz Science and Technology, 727708 (16 February 2009); https://doi.org/10.1117/12.819905

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