{"title":"具有随机振幅的广义随机电报信号的功率谱","authors":"Ferdinand Grüneis","doi":"10.1016/j.physa.2025.130745","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":20152,"journal":{"name":"Physica A: Statistical Mechanics and its Applications","volume":"674 ","pages":"Article 130745"},"PeriodicalIF":3.1000,"publicationDate":"2025-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The power spectrum of a generalized random telegraph signal with random amplitude\",\"authors\":\"Ferdinand Grüneis\",\"doi\":\"10.1016/j.physa.2025.130745\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>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.</div></div>\",\"PeriodicalId\":20152,\"journal\":{\"name\":\"Physica A: Statistical Mechanics and its Applications\",\"volume\":\"674 \",\"pages\":\"Article 130745\"},\"PeriodicalIF\":3.1000,\"publicationDate\":\"2025-05-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physica A: Statistical Mechanics and its Applications\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0378437125003978\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica A: Statistical Mechanics and its Applications","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378437125003978","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
The power spectrum of a generalized random telegraph signal with random amplitude
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.
期刊介绍:
Physica A: Statistical Mechanics and its Applications
Recognized by the European Physical Society
Physica A publishes research in the field of statistical mechanics and its applications.
Statistical mechanics sets out to explain the behaviour of macroscopic systems by studying the statistical properties of their microscopic constituents.
Applications of the techniques of statistical mechanics are widespread, and include: applications to physical systems such as solids, liquids and gases; applications to chemical and biological systems (colloids, interfaces, complex fluids, polymers and biopolymers, cell physics); and other interdisciplinary applications to for instance biological, economical and sociological systems.