Abstract
A novel low-frequency 1/f ambient noise generator using fractional statistics is proposed in this article. The noise samples are obtained by transformation functions performed on pseudo-random uniform sequences. The 1/f spectrum representation achieved for the generated noise samples, shows that this proposition is very promising for the investigation of the low-frequency noise effect in signal processing techniques, devices and systems. It is also demonstrated that it can be useful to serve as background ambient noise in speaker classification applications.
Highlights
In the last decades, the presence of low-frequency or1/f noise has been widely observed in such a variety of systems [1,2]
This article proposes the generation of 1/f ambient noise samples based on the fractional Brownian motion (fBm) statistics
Considering a time index t defined at the interval [ 0, 1], the SRMD algorithm establishes that setting X(0) = 0 and X(1) as a Gaussian random variable (RV) with zero-mean and variance σ 2 Var[ X(1) − X(0)] = σ 2
Summary
The presence of low-frequency or1/f noise has been widely observed in such a variety of systems [1,2]. This article proposes the generation of 1/f ambient noise samples based on the fBm statistics. The 1/f spectral behavior is obtained from the ACFs of the noise samples generated by the fBm process.
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