Characteristic Analysis of White Gaussian Noise in S-Transformation Domain

Xinliang Zhang, Yue Qi, Mingzhe Zhu

1Department of Electronic Engineering, Xidian University, Xi’an, China; 2The Ministry Key Laboratory of Electronic Information Countermeasure and Simulation, Xidian University, Xi’an, China..
Department of Electronic Engineering, Xidian University, Xi’an, China.

DOI: 10.4236/jcc.2014.22004                

Abstract

The characteristic property of white Gaussian noise (WGN) is derived in S-transformation domain. The results show that the distribution of normalized S-spectrum of WGN follows X² distribution with two degrees of freedom. The conclusion has been confirmed through both theoretical derivations and numerical simulations. Combined with different criteria, an effective signal detection in S-transformation can be realized.

Keywords

Signal Detection; S-Transform; White Gaussian Noise; X² Distribution

Conflicts of Interest

The authors declare no conflicts of interest.

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