The power spectrum of a generalized random telegraph signal with special reference to 1/f noise

Ferdinand Grüneis

Physica A: Statistical Mechanics and its Applications, 2025, vol. 674, issue C

Abstract: A random telegraph signal (RTS) is regarded as a random succession of non-overlapping, rectangular pulses separated by gaps. Besides the switching amplitude, an RTS is defined by the lifetime of the pulse and by the gap, both of which are exponentially distributed. Such an RTS can be generalized for arbitrarily distributed pulse lifetime and gap. By replacing the pulse with a cluster of non-overlapping events, a new approach to derive the power spectrum of such a generalized RTS is presented. For a power-law distributed cluster size, the power spectrum exhibits 1/f noise only depending on the mean cluster lifetime and on the mean gap. The total power of the generalized RTS shows an aging effect.

Keywords: Random telegraph signal; 1/f noise; Intermittency; Fluctuation phenomena; Random processes (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437125004108
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125004108

DOI: 10.1016/j.physa.2025.130758

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().