Abstract

For the purposes of the present document, the following symbols apply:
a the distance between the center point and the short side of a rectangle (perpendicular bisector of
the long side) or the length of the short semi-axis of an ellipse b the distance between the center point and the long side of a rectangle (perpendicular bisector of the short side) or the length of the long semi-axis of an ellipse F function to determine the spatial characteristics of a point P(x,y) relative to a geometric shape P(x,y) point in a Cartesian coordinate system r radius of a circle x abscissa of a Cartesian coordination system with the origin in the centre of the geographical area and parallel to the long side of a geometric shape y ordinate of a Cartesian coordination system with the origin in the centre of the geographical area and parallel to the short side of a geometric shape θ azimuth angle of the long side of a rectangle or the long semi-axis of an ellipse
φ zenith angle of the long side of a rectangle or the long semi-axis of an ellipse

Status
Published
Public Enquiry End Date
31-Mar-2011
Publication Date
04-Aug-2011
Technical Committee
MOC - Mobile Communications
Current Stage
6060 - National Implementation/Publication (Adopted Project)
Start Date
27-Jul-2011
Due Date
01-Oct-2011
Completion Date
05-Aug-2011

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SIST EN 302 931 V1.1.1:2011

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SIST EN 302 931 V1.1.1:2011 is the Slovenian adoption of ETSI EN 302 931 V1.1.1 (2011-07), a European Standard from ETSI for Intelligent Transport Systems (ITS) vehicular communications. It specifies a location referencing method for defining geographical areas and for determining whether a point is inside, outside, at the border, or at the centre of that area. The standard is aimed at ITS stations and related communication protocols that need to address and disseminate information by geographic area.

What does SIST EN 302 931 V1.1.1:2011 specify?

SIST EN 302 931 V1.1.1:2011 specifies how geographical areas are represented for ITS location referencing. The document focuses on simple geometric shapes - circle, rectangle, and ellipse - so systems can describe an area with a small set of parameters and limited processing effort.

The scope says the method enables ITS stations to exchange location-related information and supports communication protocols that address geographical areas. It also states that encoding and decoding of the geospatial information is outside the document’s scope, so implementers use this standard for the geometric definition and point-location logic, not for the bit-level message format.

The document is organized into:

  • Clause 1 - Scope
  • Clause 2 - References
  • Clause 3 - Definitions and symbols
  • Clause 4 - Definition of geographical areas
  • Clause 5 - Elementary geometry
  • Annex A - Bibliography

What are the key requirements of SIST EN 302 931 V1.1.1:2011?

SIST EN 302 931 V1.1.1:2011 gives a compact geometric model for geographical areas and a function that classifies a point relative to that area. In practice, this lets an ITS implementation describe a zone and then test whether a position belongs to it without using a more complex map object.

Geographical areas are defined with three shape types

Clause 4 defines three allowed area types:

  • circular area
  • rectangular area
  • elliptical area

Each area is described from its centre point. This matters because a sender only needs to transmit the centre and a few shape parameters, which keeps the location reference lightweight.

A circular area uses one centre point and a radius

Clause 4.2 defines a circular area with centre point A and radius r. This is the simplest form for zones with equal distance in all directions from the centre, such as a simple broadcast region.

A rectangular area uses centre, half-dimensions, and orientation

Clause 4.3 defines a rectangle with centre point A, the distances a and b from the centre to the short and long sides, and the azimuth angle θ of the long side. In practice, this supports corridor-like or block-shaped areas that must be rotated to match the real-world orientation.

An elliptical area uses centre, semi-axes, and orientation

Clause 4.4 defines an ellipse with centre point A, the long semi-axis a, the short semi-axis b, and the azimuth angle θ of the long semi-axis. This is useful where a rounded area is a better fit than a rectangle but a circle is too coarse.

The document defines a common point-location function F

Clause 5.1 introduces the geometric function F for a point P(x,y). The function tells an ITS station whether the point is at the centre, inside, at the border, or outside the geographical area. In practice, this is the decision step needed for geofencing, local message targeting, and area-based forwarding.

The coordinate system is fixed for all shapes

Clause 5.1 states that the Cartesian coordinate system has its origin at the centre of the shape, with the x-axis parallel to the long side. This common frame makes the circle, rectangle, and ellipse formulas comparable and easier to implement consistently.

Each shape has its own F formulation

Clauses 5.2 to 5.4 define F separately for circular, rectangular, and elliptical areas. The document uses normalized geometry so the same inside/outside logic works for all three shapes. For implementers, that means one common classification concept with shape-specific calculation rules.

What terms does SIST EN 302 931 V1.1.1:2011 define?

SIST EN 302 931 V1.1.1:2011 defines location referencing as a method for referencing a location to support exchange of location-related information. That is the core concept used throughout the document.

The symbols are also important:

  • a - distance from the centre to the short side of a rectangle, or the long semi-axis of an ellipse
  • b - distance from the centre to the long side of a rectangle, or the short semi-axis of an ellipse
  • F - function used to determine the spatial relation of point P(x,y) to a shape
  • P(x,y) - point in a Cartesian coordinate system
  • r - radius of a circle
  • x - abscissa in the coordinate system
  • y - ordinate in the coordinate system
  • θ - azimuth angle of the long side or long semi-axis
  • φ - zenith angle of the long side or long semi-axis

Who uses SIST EN 302 931 V1.1.1:2011?

SIST EN 302 931 V1.1.1:2011 is used by ITS engineers and protocol developers working on vehicular communications. It is relevant where a station needs to describe a geographic area for exchanging location-related information or for addressing data to a region.

It also matters to teams designing GeoNetworking and decentralized environmental notification functions, because the document aligns geographic addressing with simple geometric areas. Quality and test teams can use it to check that an implementation classifies positions consistently against the defined shapes.

Which standards are used with SIST EN 302 931 V1.1.1:2011?

SIST EN 302 931 V1.1.1:2011 cites these informative ETSI documents that support its subject area:

  • ETSI TR 102 638 - defines basic ITS application concepts and terminology
  • ETSI TS 102 637-3 - covers the Decentralized Environmental Notification Basic Service
  • ETSI TS 102 636-3 - gives the GeoNetworking network architecture
  • ETSI TS 102 636-4-1 - covers geographical addressing and forwarding for point-to-point and point-to-multipoint communications, with media-independent functionality

These references place the geographical area definition in the wider ITS and GeoNetworking framework.

What does the SIST EN 302 931 V1.1.1:2011 document contain?

SIST EN 302 931 V1.1.1:2011 contains an overview figure of the three area shapes, followed by separate figures for the circular, rectangular, and elliptical cases. It also contains the geometric function F and three shape-specific equations that show how to classify a point relative to each area.

The document is short and practical: it focuses on the area model, the shared coordinate system, and the point-in-area logic. Annex A is a bibliography that points to related ITS and location-referencing work.

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Frequently Asked Questions

SIST EN 302 931 V1.1.1:2011 is a standard published by the Slovenian Institute for Standardization (SIST). Its full title is "Intelligent Transport Systems (ITS) - Vehicular Communications - Geographical Area Definition". This standard covers: For the purposes of the present document, the following symbols apply: a the distance between the center point and the short side of a rectangle (perpendicular bisector of the long side) or the length of the short semi-axis of an ellipse b the distance between the center point and the long side of a rectangle (perpendicular bisector of the short side) or the length of the long semi-axis of an ellipse F function to determine the spatial characteristics of a point P(x,y) relative to a geometric shape P(x,y) point in a Cartesian coordinate system r radius of a circle x abscissa of a Cartesian coordination system with the origin in the centre of the geographical area and parallel to the long side of a geometric shape y ordinate of a Cartesian coordination system with the origin in the centre of the geographical area and parallel to the short side of a geometric shape θ azimuth angle of the long side of a rectangle or the long semi-axis of an ellipse φ zenith angle of the long side of a rectangle or the long semi-axis of an ellipse

For the purposes of the present document, the following symbols apply: a the distance between the center point and the short side of a rectangle (perpendicular bisector of the long side) or the length of the short semi-axis of an ellipse b the distance between the center point and the long side of a rectangle (perpendicular bisector of the short side) or the length of the long semi-axis of an ellipse F function to determine the spatial characteristics of a point P(x,y) relative to a geometric shape P(x,y) point in a Cartesian coordinate system r radius of a circle x abscissa of a Cartesian coordination system with the origin in the centre of the geographical area and parallel to the long side of a geometric shape y ordinate of a Cartesian coordination system with the origin in the centre of the geographical area and parallel to the short side of a geometric shape θ azimuth angle of the long side of a rectangle or the long semi-axis of an ellipse φ zenith angle of the long side of a rectangle or the long semi-axis of an ellipse

SIST EN 302 931 V1.1.1:2011 is classified under the following ICS (International Classification for Standards) categories: 35.240.60 - IT applications in transport; 43.040.15 - Car informatics. On board computer systems. The ICS classification helps identify the subject area and facilitates finding related standards.

SIST EN 302 931 V1.1.1:2011 is available in PDF format for immediate download after purchase. The document can be added to your cart and obtained through the secure checkout process. Digital delivery ensures instant access to the complete standard document.

Standards Content (Sample)


Draft ETSI EN 302 931 V1.0.0 (2010-12)
European Standard (Telecommunications series)

Intelligent Transport Systems (ITS);
Vehicular Communications;
Geographical Area Definition
2 Draft ETSI EN 302 931 V1.0.0 (2010-12)

Reference
DEN/ITS-0030021
Keywords
ITS, location
ETSI
650 Route des Lucioles
F-06921 Sophia Antipolis Cedex - FRANCE

Tel.: +33 4 92 94 42 00  Fax: +33 4 93 65 47 16

Siret N° 348 623 562 00017 - NAF 742 C
Association à but non lucratif enregistrée à la
Sous-Préfecture de Grasse (06) N° 7803/88

Important notice
Individual copies of the present document can be downloaded from:
http://www.etsi.org
The present document may be made available in more than one electronic version or in print. In any case of existing or
perceived difference in contents between such versions, the reference version is the Portable Document Format (PDF).
In case of dispute, the reference shall be the printing on ETSI printers of the PDF version kept on a specific network drive
within ETSI Secretariat.
Users of the present document should be aware that the document may be subject to revision or change of status.
Information on the current status of this and other ETSI documents is available at
http://portal.etsi.org/tb/status/status.asp
If you find errors in the present document, please send your comment to one of the following services:
http://portal.etsi.org/chaircor/ETSI_support.asp
Copyright Notification
No part may be reproduced except as authorized by written permission.
The copyright and the foregoing restriction extend to reproduction in all media.

© European Telecommunications Standards Institute 2010.
All rights reserved.
TM TM TM TM
DECT , PLUGTESTS , UMTS , TIPHON , the TIPHON logo and the ETSI logo are Trade Marks of ETSI registered
for the benefit of its Members.
TM
3GPP is a Trade Mark of ETSI registered for the benefit of its Members and of the 3GPP Organizational Partners.
LTE™ is a Trade Mark of ETSI currently being registered
for the benefit of its Members and of the 3GPP Organizational Partners.
GSM® and the GSM logo are Trade Marks registered and owned by the GSM Association.
ETSI
3 Draft ETSI EN 302 931 V1.0.0 (2010-12)
Contents
Intellectual Property Rights . 4
Foreword . 4
Introduction . 4
1 Scope . 5
2 References . 5
2.1 Normative references . 5
2.2 Informative references . 5
3 Definitions and symbols . 5
3.1 Definitions . 5
3.2 Symbols . 6
4 Definition of geographical areas . 6
4.1 Overview . 6
4.2 Definition of a circular area . 7
4.3 Definition of a rectangular area . 7
4.4 Definition of an ellipsoidal area . 8
5 Elementary geometry . 8
5.1 Geometric function F to determine spatial characteristics of a point P(x,y). 8
5.2 Geometric function F for a circular area . 8
5.3 Geometric function F for a rectangular area . 9
5.4 Geometric function F for a ellipsoidal area . 9
Annex A (informative): Bibliography . 10
History . 11

ETSI
4 Draft ETSI EN 302 931 V1.0.0 (2010-12)
Intellectual Property Rights
IPRs essential or potentially essential to the present document may have been declared to ETSI. The information
pertaining to these essential IPRs, if any, is publicly available for ETSI members and non-members, and can be found
in ETSI SR 000 314: "Intellectual Property Rights (IPRs); Essential, or potentially Essential, IPRs notified to ETSI in
respect of ETSI standards", which is available from the ETSI Secretariat. Latest updates are available on the ETSI Web
server (http://webapp.etsi.org/IPR/home.asp).
Pursuant to the ETSI IPR Policy, no investigation, including IPR searches, has been carried out by ETSI. No guarantee
can be given as to the existence of other IPRs not referenced in ETSI SR 000 314 (or the updates on the ETSI Web
server) which are, or may be, or may become, essential to the present document.
Foreword
This European Standard (Telecommunications series) has been produced by ETSI Technical Committee Intelligent
Transport System (ITS), and is now submitted for the Public Enquiry phase of the ETSI standards Two-step Approval
Procedure.
Proposed national transposition dates
Date of latest announcement of this EN (doa): 3 months after ETSI publication
Date of latest publication of new National Standard
or endorsement of this EN (dop/e): 6 months after doa
Date of withdrawal of any conflicting National Standard (dow): 6 months after doa

Introduction
The present document specifies a method for location referencing. This method defines geographical areas by means of
geometric shapes, i.e. circle, rectangle and ellipse. Furthermore, the present document introduces a function that can be
used determine the geospatial relation of a point to the geographical area (at the centre, inside, at the border, outside).
ETSI
...


Final draft ETSI EN 302 931 V1.1.0 (2011-05)
European Standard
Intelligent Transport Systems (ITS);
Vehicular Communications;
Geographical Area Definition
2 Final draft ETSI EN 302 931 V1.1.0 (2011-05)

Reference
DEN/ITS-0030021
Keywords
ITS, location
ETSI
650 Route des Lucioles
F-06921 Sophia Antipolis Cedex - FRANCE

Tel.: +33 4 92 94 42 00  Fax: +33 4 93 65 47 16

Siret N° 348 623 562 00017 - NAF 742 C
Association à but non lucratif enregistrée à la
Sous-Préfecture de Grasse (06) N° 7803/88

Important notice
Individual copies of the present document can be downloaded from:
http://www.etsi.org
The present document may be made available in more than one electronic version or in print. In any case of existing or
perceived difference in contents between such versions, the reference version is the Portable Document Format (PDF).
In case of dispute, the reference shall be the printing on ETSI printers of the PDF version kept on a specific network drive
within ETSI Secretariat.
Users of the present document should be aware that the document may be subject to revision or change of status.
Information on the current status of this and other ETSI documents is available at
http://portal.etsi.org/tb/status/status.asp
If you find errors in the present document, please send your comment to one of the following services:
http://portal.etsi.org/chaircor/ETSI_support.asp
Copyright Notification
No part may be reproduced except as authorized by written permission.
The copyright and the foregoing restriction extend to reproduction in all media.

© European Telecommunications Standards Institute 2011.
All rights reserved.
TM TM TM TM
DECT , PLUGTESTS , UMTS , TIPHON , the TIPHON logo and the ETSI logo are Trade Marks of ETSI registered
for the benefit of its Members.
TM
3GPP is a Trade Mark of ETSI registered for the benefit of its Members and of the 3GPP Organizational Partners.
LTE™ is a Trade Mark of ETSI currently being registered
for the benefit of its Members and of the 3GPP Organizational Partners.
GSM® and the GSM logo are Trade Marks registered and owned by the GSM Association.
ETSI
3 Final draft ETSI EN 302 931 V1.1.0 (2011-05)
Contents
Intellectual Property Rights . 4
Foreword . 4
Introduction . 4
1 Scope . 5
2 References . 5
2.1 Normative references . 5
2.2 Informative references . 5
3 Definitions and symbols . 5
3.1 Definitions . 5
3.2 Symbols . 6
4 Definition of geographical areas . 6
4.1 Overview . 6
4.2 Definition of a circular area . 7
4.3 Definition of a rectangular area . 7
4.4 Definition of an elliptical area . 8
5 Elementary geometry . 8
5.1 Geometric function F to determine spatial characteristics of a point P(x,y). 8
5.2 Geometric function F for a circular area . 8
5.3 Geometric function F for a rectangular area . 9
5.4 Geometric function F for a elliptical area . 9
Annex A (informative): Bibliography . 10
History . 11

ETSI
4 Final draft ETSI EN 302 931 V1.1.0 (2011-05)
Intellectual Property Rights
IPRs essential or potentially essential to the present document may have been declared to ETSI. The information
pertaining to these essential IPRs, if any, is publicly available for ETSI members and non-members, and can be found
in ETSI SR 000 314: "Intellectual Property Rights (IPRs); Essential, or potentially Essential, IPRs notified to ETSI in
respect of ETSI standards", which is available from the ETSI Secretariat. Latest updates are available on the ETSI Web
server (http://webapp.etsi.org/IPR/home.asp).
Pursuant to the ETSI IPR Policy, no investigation, including IPR searches, has been carried out by ETSI. No guarantee
can be given as to the existence of other IPRs not referenced in ETSI SR 000 314 (or the updates on the ETSI Web
server) which are, or may be, or may become, essential to the present document.
Foreword
This final draft European Standard (EN) has been produced by ETSI Technical Committee Intelligent Transport System
(ITS), and is now submitted for the Vote phase of the ETSI standards Two-step Approval Procedure.

Proposed national transposition dates
Date of latest announcement of this EN (doa): 3 months after ETSI publication
Date of latest publication of new National Standard
or endorsement of this EN (dop/e): 6 months after doa
Date of withdrawal of any conflicting National Standard (dow): 6 months after doa

Introduction
The present document specifies a method for location referencing. This method defines geographical areas by means of
geometric shapes, i.e. circle, rectangle and ellipse. Furthermore, the present document introduces a function that can be
used determine the geospatial relation of a point to the geographical area (at the centre, inside, at the border, outside).
ETSI
5 Final draft ETSI EN 302 931 V1.1.0 (2011-05)
1 Scope
The locatio
...


European Standard
Intelligent Transport Systems (ITS);
Vehicular Communications;
Geographical Area Definition
2 ETSI EN 302 931 V1.1.1 (2011-07)

Reference
DEN/ITS-0030021
Keywords
ITS, location
ETSI
650 Route des Lucioles
F-06921 Sophia Antipolis Cedex - FRANCE

Tel.: +33 4 92 94 42 00  Fax: +33 4 93 65 47 16

Siret N° 348 623 562 00017 - NAF 742 C
Association à but non lucratif enregistrée à la
Sous-Préfecture de Grasse (06) N° 7803/88

Important notice
Individual copies of the present document can be downloaded from:
http://www.etsi.org
The present document may be made available in more than one electronic version or in print. In any case of existing or
perceived difference in contents between such versions, the reference version is the Portable Document Format (PDF).
In case of dispute, the reference shall be the printing on ETSI printers of the PDF version kept on a specific network drive
within ETSI Secretariat.
Users of the present document should be aware that the document may be subject to revision or change of status.
Information on the current status of this and other ETSI documents is available at
http://portal.etsi.org/tb/status/status.asp
If you find errors in the present document, please send your comment to one of the following services:
http://portal.etsi.org/chaircor/ETSI_support.asp
Copyright Notification
No part may be reproduced except as authorized by written permission.
The copyright and the foregoing restriction extend to reproduction in all media.

© European Telecommunications Standards Institute 2011.
All rights reserved.
TM TM TM
DECT , PLUGTESTS , UMTS and the ETSI logo are Trade Marks of ETSI registered for the benefit of its Members.
TM
3GPP and LTE™ are Trade Marks of ETSI registered for the benefit of its Members and
of the 3GPP Organizational Partners.
GSM® and the GSM logo are Trade Marks registered and owned by the GSM Association.
ETSI
3 ETSI EN 302 931 V1.1.1 (2011-07)
Contents
Intellectual Property Rights . 4
Foreword . 4
Introduction . 4
1 Scope . 5
2 References . 5
2.1 Normative references . 5
2.2 Informative references . 5
3 Definitions and symbols . 5
3.1 Definitions . 5
3.2 Symbols . 6
4 Definition of geographical areas . 6
4.1 Overview . 6
4.2 Definition of a circular area . 7
4.3 Definition of a rectangular area . 7
4.4 Definition of an elliptical area . 8
5 Elementary geometry . 8
5.1 Geometric function F to determine spatial characteristics of a point P(x,y). 8
5.2 Geometric function F for a circular area . 8
5.3 Geometric function F for a rectangular area . 9
5.4 Geometric function F for a elliptical area . 9
Annex A (informative): Bibliography . 10
History . 11

ETSI
4 ETSI EN 302 931 V1.1.1 (2011-07)
Intellectual Property Rights
IPRs essential or potentially essential to the present document may have been declared to ETSI. The information
pertaining to these essential IPRs, if any, is publicly available for ETSI members and non-members, and can be found
in ETSI SR 000 314: "Intellectual Property Rights (IPRs); Essential, or potentially Essential, IPRs notified to ETSI in
respect of ETSI standards", which is available from the ETSI Secretariat. Latest updates are available on the ETSI Web
server (http://ipr.etsi.org).
Pursuant to the ETSI IPR Policy, no investigation, including IPR searches, has been carried out by ETSI. No guarantee
can be given as to the existence of other IPRs not referenced in ETSI SR 000 314 (or the updates on the ETSI Web
server) which are, or may be, or may become, essential to the present document.
Foreword
This European Standard (EN) has been produced by ETSI Technical Committee Intelligent Transport System (ITS).

National transposition dates
Date of adoption of this EN: 19 July 2011
Date of latest announcement of this EN (doa): 31 October 2011
Date of latest publication of new National Standard
or endorsement of this EN (dop/e): 30 April 2012
Date of withdrawal of any conflicting National Standard (dow): 30 April 2012

Introduction
The present document specifies a method for location referencing. This method defines geographical areas by means of
geometric shapes, i.e. circle, rectangle and ellipse. Furthermore, the present document introduces a function that can be
used determine the geospatial relation of a point to the geographical area (at the centre, inside, at the border, outside).
ETSI
5 ETSI EN 302 931 V1.1.1 (2011-07)
1 Scope
The location referencing method enables ITS stations to exchange location-related information [i.1] and [i.3]. It
facilitates communication protocols
...


2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.GHOLWHYIntelligent Transport Systems (ITS) - Vehicular Communications - Geographical Area Definition43.040.15Car informatics. On board computer systems35.240.60Uporabniške rešitve IT v transportu in trgoviniIT applications in transport and tradeICS:Ta slovenski standard je istoveten z:EN 302 931 Version 1.1.1SIST EN 302 931 V1.1.1:2011en01-september-2011SIST EN 302 931 V1.1.1:2011SLOVENSKI
STANDARD
ETSI ETSI EN 302 931 V1.1.1 (2011-07) 2
Reference DEN/ITS-0030021 Keywords ITS, location ETSI 650 Route des Lucioles F-06921 Sophia Antipolis Cedex - FRANCE
Tel.: +33 4 92 94 42 00
Fax: +33 4 93 65 47 16
Siret N° 348 623 562 00017 - NAF 742 C Association à but non lucratif enregistrée à la Sous-Préfecture de Grasse (06) N° 7803/88
Important notice Individual copies of the present document can be downloaded from: http://www.etsi.org The present document may be made available in more than one electronic version or in print. In any case of existing or perceived difference in contents between such versions, the reference version is the Portable Document Format (PDF). In case of dispute, the reference shall be the printing on ETSI printers of the PDF version kept on a specific network drive within ETSI Secretariat. Users of the present document should be aware that the document may be subject to revision or change of status. Information on the current status of this and other ETSI documents is available at http://portal.etsi.org/tb/status/status.asp If you find errors in the present document, please send your comment to one of the following services: http://portal.etsi.org/chaircor/ETSI_support.asp Copyright Notification No part may be reproduced except as authorized by written permission. The copyright and the foregoing restriction extend to reproduction in all media.
© European Telecommunications Standards Institute 2011. All rights reserved.
DECTTM, PLUGTESTSTM, UMTSTM and the ETSI logo are Trade Marks of ETSI registered for the benefit of its Members. 3GPPTM and LTE™ are Trade Marks of ETSI registered for the benefit of its Members and of the 3GPP Organizational Partners. GSM® and the GSM logo are Trade Marks registered and owned by the GSM Association. SIST EN 302 931 V1.1.1:2011

ETSI ETSI EN 302 931 V1.1.1 (2011-07) 3 Contents Intellectual Property Rights . 4 Foreword . 4 Introduction . 4 1 Scope . 5 2 References . 5 2.1 Normative references . 5 2.2 Informative references . 5 3 Definitions and symbols . 5 3.1 Definitions . 5 3.2 Symbols . 6 4 Definition of geographical areas . 6 4.1 Overview . 6 4.2 Definition of a circular area . 7 4.3 Definition of a rectangular area . 7 4.4 Definition of an elliptical area . 8 5 Elementary geometry . 8 5.1 Geometric function F to determine spatial characteristics of a point P(x,y). 8 5.2 Geometric function F for a circular area . 8 5.3 Geometric function F for a rectangular area . 9 5.4 Geometric function F for a elliptical area . 9 Annex A (informative): Bibliography . 10 History . 11
ETSI ETSI EN 302 931 V1.1.1 (2011-07) 4 Intellectual Property Rights IPRs essential or potentially essential to the present document may have been declared to ETSI. The information pertaining to these essential IPRs, if any, is publicly available for ETSI members and non-members, and can be found in ETSI SR 000 314: "Intellectual Property Rights (IPRs); Essential, or potentially Essential, IPRs notified to ETSI in respect of ETSI standards", which is available from the ETSI Secretariat. Latest updates are available on the ETSI Web server (http://ipr.etsi.org). Pursuant to the ETSI IPR Policy, no investigation, including IPR searches, has been carried out by ETSI. No guarantee can be given as to the existence of other IPRs not referenced in ETSI SR 000 314 (or the updates on the ETSI Web server) which are, or may be, or may become, essential to the present document. Foreword This European Standard (EN) has been produced by ETSI Technical Committee Intelligent Transport System (ITS).
National transposition dates Date of adoption of this EN: 19 July 2011 Date of latest announcement of this EN (doa): 31 October 2011 Date of latest publication of new National Standard or endorsement of this EN (dop/e):
30 April 2012 Date of withdrawal of any conflicting National Standard (dow): 30 April 2012
Introduction The present document specifies a method for location referencing. This method defines geographical areas by means of geometric shapes, i.e. circle, rectangle and ellipse. Furthermore, the present docum
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