Modelling in-room radio channels using point processes

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Abstract

Point processes of various kinds have been applied to model multipath propagation
observed in a radio channel. Complex propagation medium, such as the indoor scenarios, give rise to multipath propagation, i.e. the transmitted signal arrives at the reciever via multiple paths. Each path is characterized by its socalled multipath parameter which in the simplest case include only a propagation delay and complex gain. The number of multipath components and their parameters are generally unknown and are thus modelled as random entities. Specically, since the early works 1970s, various types of (marked) point processes has been applied to model the set of multipath components. Experimentally, the points themselves are not observed, but the observed signal is a shotnoise driven by the point process.

In this talk, we develop a shot noise model for the in-room radio channel. We approximate mirror source positions for the inroom scenario using a homogeneous Poisson process in R3. Mapping this process to the propagation delays and gains, results in an inhomogeneous marked point process in time (R+) of delays (points) and complex gains (marks) of multipath components. The intensity of this point process increases quadratically and thus the early delays well separated while the later points are very dense. The received signal is a shotnoise driven by this marked point process. We apply the point process model to derive moment properties of the resulting shotnoise model.
Original languageEnglish
Publication dateMay 2019
Publication statusPublished - May 2019
EventPoint processes in space, time, and beyond - Color Hotel, Skagen, Skagen, Denmark
Duration: 13 May 201916 May 2019
http://people.math.aau.dk/~rw/PointSpaceBeyond/

Workshop

WorkshopPoint processes in space, time, and beyond
LocationColor Hotel, Skagen
CountryDenmark
CitySkagen
Period13/05/201916/05/2019
Internet address

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Cite this

Pedersen, T. (2019). Modelling in-room radio channels using point processes. Abstract from Point processes in space, time, and beyond , Skagen, Denmark.
Pedersen, Troels. / Modelling in-room radio channels using point processes. Abstract from Point processes in space, time, and beyond , Skagen, Denmark.
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Pedersen, T 2019, 'Modelling in-room radio channels using point processes' Point processes in space, time, and beyond , Skagen, Denmark, 13/05/2019 - 16/05/2019, .

Modelling in-room radio channels using point processes. / Pedersen, Troels.

2019. Abstract from Point processes in space, time, and beyond , Skagen, Denmark.

Research output: Contribution to conference without publisher/journalConference abstract for conferenceResearch

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T1 - Modelling in-room radio channels using point processes

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N2 - Point processes of various kinds have been applied to model multipath propagationobserved in a radio channel. Complex propagation medium, such as the indoor scenarios, give rise to multipath propagation, i.e. the transmitted signal arrives at the reciever via multiple paths. Each path is characterized by its socalled multipath parameter which in the simplest case include only a propagation delay and complex gain. The number of multipath components and their parameters are generally unknown and are thus modelled as random entities. Specically, since the early works 1970s, various types of (marked) point processes has been applied to model the set of multipath components. Experimentally, the points themselves are not observed, but the observed signal is a shotnoise driven by the point process.In this talk, we develop a shot noise model for the in-room radio channel. We approximate mirror source positions for the inroom scenario using a homogeneous Poisson process in R3. Mapping this process to the propagation delays and gains, results in an inhomogeneous marked point process in time (R+) of delays (points) and complex gains (marks) of multipath components. The intensity of this point process increases quadratically and thus the early delays well separated while the later points are very dense. The received signal is a shotnoise driven by this marked point process. We apply the point process model to derive moment properties of the resulting shotnoise model.

AB - Point processes of various kinds have been applied to model multipath propagationobserved in a radio channel. Complex propagation medium, such as the indoor scenarios, give rise to multipath propagation, i.e. the transmitted signal arrives at the reciever via multiple paths. Each path is characterized by its socalled multipath parameter which in the simplest case include only a propagation delay and complex gain. The number of multipath components and their parameters are generally unknown and are thus modelled as random entities. Specically, since the early works 1970s, various types of (marked) point processes has been applied to model the set of multipath components. Experimentally, the points themselves are not observed, but the observed signal is a shotnoise driven by the point process.In this talk, we develop a shot noise model for the in-room radio channel. We approximate mirror source positions for the inroom scenario using a homogeneous Poisson process in R3. Mapping this process to the propagation delays and gains, results in an inhomogeneous marked point process in time (R+) of delays (points) and complex gains (marks) of multipath components. The intensity of this point process increases quadratically and thus the early delays well separated while the later points are very dense. The received signal is a shotnoise driven by this marked point process. We apply the point process model to derive moment properties of the resulting shotnoise model.

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M3 - Conference abstract for conference

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Pedersen T. Modelling in-room radio channels using point processes. 2019. Abstract from Point processes in space, time, and beyond , Skagen, Denmark.