The power spectrum of a generalized random telegraph signal with random amplitude

Ferdinand Grüneis

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

Abstract: A random telegraph signal (RTS) can be regarded as a random succession of non-overlapping, rectangular pulses separated by gaps. Besides the constant amplitude, an RTS is defined by the pulse lifetime and by the gap, both of which are exponentially distributed. Such an RTS is generalized for an arbitrarily distributed pulse lifetime, gap and amplitude. We present a new approach to derive the power spectrum of such a generalized RTS with random amplitude. The introduction of a random amplitude is of relevance for the interpretation of multi-level RTS.

Keywords: Random telegraph signal; Fluctuation phenomena; Random processes (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003978

DOI: 10.1016/j.physa.2025.130745

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