Analysis of the stochastic channel model by Saleh & Valenzuela via the theory of point processes

Morten Lomholt Jakobsen; Troels Pedersen; Bernard Henri Fleury

doi:10.3929/ethz-a-007052489

Analysis of the stochastic channel model by Saleh & Valenzuela via the theory of point processes

Morten Lomholt Jakobsen
, Troels Pedersen
, Bernard Henri Fleury

Department of Electronic Systems

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

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Abstract

In this paper we revisit the classical channel model
by Saleh & Valenzuela via the theory of spatial point processes.
By reformulating this model as a particular point process and by
repeated application of Campbell’s Theorem we provide concise
and elegant access to its overall structure and underlying features,
like the intensity function of the component delays and the delaypower
intensity. The flexibility and clarity of the mathematical
instruments utilized to obtain these results lead us to conjecture
that the theory of spatial point processes provides a unifying
mathematical framework to define, analyze, and compare most
channel models already suggested in literature and that the
powerful tools of this framework have not been fully exploited
in this context yet.

Original language	English
Title of host publication	International Zurich Seminar on Communications : February 29-March 2, 2012, Sorell Hotel Zürichberg, Zurich, Switzerland proceedings [the International Zurich Seminar on Communications (IZS) is organized jointly by the IEEE Switzerland Chapter on Digital Communication Systems ... et al.] ; [general co-chairs: Helmut Bölcskei ... et al.]
Number of pages	4
Publisher	Eidgenössische Technische Hochschule Zürich
Publication date	2012
DOIs	https://doi.org/10.3929/ethz-a-007052489
Publication status	Published - 2012
Event	2012 International Zurich Seminar on Communications - Zurich, Switzerland Duration: 29 Feb 2012 → 2 Mar 2012

Seminar

Seminar	2012 International Zurich Seminar on Communications
Country/Territory	Switzerland
City	Zurich
Period	29/02/2012 → 02/03/2012

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10.3929/ethz-a-007052489

IZS 2012 mlj finalAccepted author manuscript, 135 KB

http://e-collection.library.ethz.ch/eserv/eth:5268/eth-5268-01.pdf

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Jakobsen, M. L., Pedersen, T., & Fleury, B. H. (2012). Analysis of the stochastic channel model by Saleh & Valenzuela via the theory of point processes. In International Zurich Seminar on Communications : February 29-March 2, 2012, Sorell Hotel Zürichberg, Zurich, Switzerland proceedings [the International Zurich Seminar on Communications (IZS) is organized jointly by the IEEE Switzerland Chapter on Digital Communication Systems ... et al.] ; [general co-chairs: Helmut Bölcskei ... et al.] Eidgenössische Technische Hochschule Zürich . https://doi.org/10.3929/ethz-a-007052489

Jakobsen, Morten Lomholt ; Pedersen, Troels ; Fleury, Bernard Henri. / Analysis of the stochastic channel model by Saleh & Valenzuela via the theory of point processes. International Zurich Seminar on Communications : February 29-March 2, 2012, Sorell Hotel Zürichberg, Zurich, Switzerland proceedings [the International Zurich Seminar on Communications (IZS) is organized jointly by the IEEE Switzerland Chapter on Digital Communication Systems ... et al.] ; [general co-chairs: Helmut Bölcskei ... et al.] . Eidgenössische Technische Hochschule Zürich , 2012.

@inproceedings{6c28bf47819942eea1f9c29e8ed5a624,

title = "Analysis of the stochastic channel model by Saleh \& Valenzuela via the theory of point processes",

abstract = "In this paper we revisit the classical channel model by Saleh \& Valenzuela via the theory of spatial point processes. By reformulating this model as a particular point process and by repeated application of Campbell{\textquoteright}s Theorem we provide concise and elegant access to its overall structure and underlying features, like the intensity function of the component delays and the delaypower intensity. The flexibility and clarity of the mathematical instruments utilized to obtain these results lead us to conjecture that the theory of spatial point processes provides a unifying mathematical framework to define, analyze, and compare most channel models already suggested in literature and that the powerful tools of this framework have not been fully exploited in this context yet.",

author = "Jakobsen, \{Morten Lomholt\} and Troels Pedersen and Fleury, \{Bernard Henri\}",

year = "2012",

doi = "10.3929/ethz-a-007052489",

language = "English",

booktitle = "International Zurich Seminar on Communications",

publisher = "Eidgen{\"o}ssische Technische Hochschule Z{\"u}rich ",

note = "2012 International Zurich Seminar on Communications ; Conference date: 29-02-2012 Through 02-03-2012",

}

Jakobsen, ML, Pedersen, T & Fleury, BH 2012, Analysis of the stochastic channel model by Saleh & Valenzuela via the theory of point processes. in International Zurich Seminar on Communications : February 29-March 2, 2012, Sorell Hotel Zürichberg, Zurich, Switzerland proceedings [the International Zurich Seminar on Communications (IZS) is organized jointly by the IEEE Switzerland Chapter on Digital Communication Systems ... et al.] ; [general co-chairs: Helmut Bölcskei ... et al.] . Eidgenössische Technische Hochschule Zürich , 2012 International Zurich Seminar on Communications, Zurich, Switzerland, 29/02/2012. https://doi.org/10.3929/ethz-a-007052489

Analysis of the stochastic channel model by Saleh & Valenzuela via the theory of point processes. / Jakobsen, Morten Lomholt; Pedersen, Troels; Fleury, Bernard Henri.
International Zurich Seminar on Communications : February 29-March 2, 2012, Sorell Hotel Zürichberg, Zurich, Switzerland proceedings [the International Zurich Seminar on Communications (IZS) is organized jointly by the IEEE Switzerland Chapter on Digital Communication Systems ... et al.] ; [general co-chairs: Helmut Bölcskei ... et al.] . Eidgenössische Technische Hochschule Zürich , 2012.

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

TY - GEN

T1 - Analysis of the stochastic channel model by Saleh & Valenzuela via the theory of point processes

AU - Jakobsen, Morten Lomholt

AU - Pedersen, Troels

AU - Fleury, Bernard Henri

PY - 2012

Y1 - 2012

N2 - In this paper we revisit the classical channel model by Saleh & Valenzuela via the theory of spatial point processes. By reformulating this model as a particular point process and by repeated application of Campbell’s Theorem we provide concise and elegant access to its overall structure and underlying features, like the intensity function of the component delays and the delaypower intensity. The flexibility and clarity of the mathematical instruments utilized to obtain these results lead us to conjecture that the theory of spatial point processes provides a unifying mathematical framework to define, analyze, and compare most channel models already suggested in literature and that the powerful tools of this framework have not been fully exploited in this context yet.

AB - In this paper we revisit the classical channel model by Saleh & Valenzuela via the theory of spatial point processes. By reformulating this model as a particular point process and by repeated application of Campbell’s Theorem we provide concise and elegant access to its overall structure and underlying features, like the intensity function of the component delays and the delaypower intensity. The flexibility and clarity of the mathematical instruments utilized to obtain these results lead us to conjecture that the theory of spatial point processes provides a unifying mathematical framework to define, analyze, and compare most channel models already suggested in literature and that the powerful tools of this framework have not been fully exploited in this context yet.

U2 - 10.3929/ethz-a-007052489

DO - 10.3929/ethz-a-007052489

M3 - Article in proceeding

BT - International Zurich Seminar on Communications

PB - Eidgenössische Technische Hochschule Zürich

T2 - 2012 International Zurich Seminar on Communications

Y2 - 29 February 2012 through 2 March 2012

ER -

Jakobsen ML, Pedersen T, Fleury BH. Analysis of the stochastic channel model by Saleh & Valenzuela via the theory of point processes. In International Zurich Seminar on Communications : February 29-March 2, 2012, Sorell Hotel Zürichberg, Zurich, Switzerland proceedings [the International Zurich Seminar on Communications (IZS) is organized jointly by the IEEE Switzerland Chapter on Digital Communication Systems ... et al.] ; [general co-chairs: Helmut Bölcskei ... et al.] . Eidgenössische Technische Hochschule Zürich . 2012 doi: 10.3929/ethz-a-007052489

Analysis of the stochastic channel model by Saleh & Valenzuela via the theory of point processes

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