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.
Highlights
THE S-transform(ST) has been well studied since it was proposed by R
The signal processing framework in S-transformation domain is under building and more and more ST based methods are proposed
The noise analysis in S-transformation domain, which is the essential problem for signal detection, has not been well studied yet. [11] presented an illuminating idea for noise distribution in a specific generalized ST domain but didn’t prove it theoretically
Summary
THE S-transform(ST) has been well studied since it was proposed by R. The signal processing framework in S-transformation domain is under building and more and more ST based methods are proposed. The most contributive works among them were conducted by C. The noise analysis in S-transformation domain, which is the essential problem for signal detection, has not been well studied yet. [11] presented an illuminating idea for noise distribution in a specific generalized ST domain but didn’t prove it theoretically. The characteristic property of WGN in original ST domain is derived theoretically and the conclusion is further verified by Monte Carlo method.
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