Information technology - Generic cabling systems for customer premises - Part 9903: Matrix modelling of channels and links

ISO/IEC TR 11801-9903:2015(E) establishes a matrix-model for formulating limits for differential mode parameters for return loss, insertion loss, and near and far end crosstalk, within and between two pairs of balanced cabling. This is for the purpose of supporting new, improved balanced cabling channel and link specifications, which are expected to be included in the next edition of ISO/IEC 11801.

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12-Oct-2015
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17-Mar-2021
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ISO/IEC TR 11801-9903
Edition 1.0 2015-10
TECHNICAL
REPORT
colour
inside
Information technology – Generic cabling systems for customer premises –
Part 9903: Matrix modelling of channels and links

All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form
or by any means, electronic or mechanical, including photocopying and microfilm, without permission in writing from
either IEC or IEC's member National Committee in the country of the requester. If you have any questions about
ISO/IEC copyright or have an enquiry about obtaining additional rights to this publication, please contact the address
below or your local IEC member National Committee for further information.

IEC Central Office Tel.: +41 22 919 02 11
3, rue de Varembé Fax: +41 22 919 03 00
CH-1211 Geneva 20 info@iec.ch
Switzerland www.iec.ch
About the IEC
The International Electrotechnical Commission (IEC) is the leading global organization that prepares and publishes
International Standards for all electrical, electronic and related technologies.

About IEC publications
The technical content of IEC publications is kept under constant review by the IEC. Please make sure that you have the

latest edition, a corrigenda or an amendment might have been published.

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bibliographical information on IEC International Standards, electrical terms containing more than 30 000 terms and
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The advanced search enables to find IEC publications by a More than 60 000 electrotechnical terminology entries in
variety of criteria (reference number, text, technical English and French extracted from the Terms and Definitions
committee,…). It also gives information on projects, replaced clause of IEC publications issued since 2002. Some entries
and withdrawn publications. have been collected from earlier publications of IEC TC 37,

77, 86 and CISPR.
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ISO/IEC TR 11801-9903
Edition 1.0 2015-10
TECHNICAL
REPORT
colour
inside
Information technology – Generic cabling systems for customer premises –

Part 9903: Matrix modelling of channels and links

INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
ICS 35.200 ISBN 978-2-8322-2923-1

– 2 – ISO/IEC TR 11801-9903:2015
 ISO/IEC 2015
CONTENTS
FOREWORD . 4
INTRODUCTION . 6
1 Scope . 8
2 Normative references . 8
3 Terms, definitions and abbreviations . 8
3.1 Terms and definitions . 8
3.2 Abbreviations . 9
4 Matrix model . 9
5 Matrix definition . 10
5.1 Quadriports . 10
5.2 Matrix port definition for a two pair system representative for modelling
purposes . 10
5.3 Operational scattering matrix . 10
5.4 General naming convention. 11
5.5 S-Matrix . 11
5.6 Passivity . 12
5.7 Operational reflexion loss matrix . 12
5.8 Transmission matrix (T-matrix) . 13
5.9 S-matrix of cabling . 13
6 Calculation with matrices using limit lines . 13
7 Extracting limit lines . 14
7.1 General . 14
7.2 Equations to extract the cabling limit lines . 14
7.2.1 Operational attenuation . 14
7.2.2 Near end crosstalk . 15
7.2.3 Attenuation to far end crosstalk ratio . 15
7.2.4 Reflection . 15
8 Component values to be used as input to the model . 15
8.1 General . 15
8.2 Cable . 16
8.2.1 General . 16
8.2.2 Wave attenuation . 16
8.2.3 Near end crosstalk . 16
8.2.4 Far end crosstalk . 16
8.2.5 Reflection . 16
8.3 Connections . 17
8.3.1 General . 17
8.3.2 As point source of disturbance . 17
8.3.3 As a transmission line . 18
Annex A (informative) S to T and T to S-matrix conversion formulas . 19
A.1 Overview. 19
A.2 Formulas. 19
Annex B (informative) Calculation examples . 20
B.1 Overview. 20
B.2 Component assumptions for modelling purposes. 20

 ISO/IEC 2015
B.2.1 Cables . 20
B.2.2 Connections . 21
B.3 Model results . 21
B.3.1 General . 21
B.3.2 Insertion loss . 21
B.3.3 NEXT . 22
B.3.4 ACR-F . 22
B.3.5 Return loss . 22
Annex C (informative) Terms and definitions . 23
C.1 Comparison of namings . 23
C.2 General . 24
C.3 Background of terms and definitions . 24
C.3.1 Operational attenuation . 24
C.3.2 Operational transfer function (T ) . 26
B
C.3.3 Image or wave transfer function (T) . 26
C.3.4 Insertion transfers function of a two-port (T ) . 26
BI
C.3.5 Insertion transfer function (T ) measured with a NWA . 26
BI
C.3.6 Operational reflection loss transfer function (T = S ) of a junction. 26
ref ref
Bibliography . 28

Figure 1 – Link configurations of ISO/IEC 11801:2002 . 6
Figure 2 – Matrix definition of a 4 port 2 twisted pair system . 10
Figure 3 – Operational scattering parameters example from port 2 . 11
Figure 4 – All 4 ports operational scattering parameter definition . 11
Figure 5 – S-Matrix definition showing corresponding S parameters . 11
Figure 6 – Equal S parameters for real components . 12
Figure 7 – Final operational scattering matrix for real components . 12
Figure 8 – Definition of the operational reflection loss matrix with unitarity included
(see C.3.6) . 13
Figure 9 – Transmission matrix concatenation showing an example of a 2 connector
permanent link . 13
Figure 10 – Graphical example of a NEXT-L calculation showing statistical results
(red) and final calculation (blue) . 14
Figure 11 – 100 m cable return loss without reflection at both ends . 17
Figure 12 – 100 m cable return loss with a reflection of 0,03 at both ends (6 Ω
mismatch, ~23 dB return loss at 1 MHz) . 17
Figure C.1 – Defining the operational attenuation and the operational transfer functions
of a two-port . 25
Figure C.2 – Defining the reflection transfer functions and the return loss of a junction . 27

Table B.1 – Modelling assumptions for cable transmission parameters . 20
Table B.2 – Modelling assumptions for connection transmission parameters . 21
Table B.3 – Insertion loss . 21
Table B.4 – NEXT . 22
Table B.5 – ACR-F . 22
Table B.6 – Return loss . 22
Table C.1 – Comparison of naming in ISO/IEC 11081:2002 and this technical report . 23

– 4 – ISO/IEC TR 11801-9903:2015
 ISO/IEC 2015
INFORMATION TECHNOLOGY –
GENERIC CABLING SYSTEMS FOR CUSTOMER PREMISES –

Part 9903: Matrix modelling of channels and links

FOREWORD
1) ISO (the International Organization for Standardization) and IEC (the International Electrotechnical Commission)
form the specialized system for worldwid
...


ISO/IEC TR 11801-9903
Edition 1.0 2015-10
TECHNICAL
REPORT
colour
inside
Information technology – Generic cabling systems for customer premises –
Part 9903: Matrix modelling of channels and links

All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form

or by any means, electronic or mechanical, including photocopying and microfilm, without permission in writing from
either IEC or IEC's member National Committee in the country of the requester. If you have any questions about
ISO/IEC copyright or have an enquiry about obtaining additional rights to this publication, please contact the address

below or your local IEC member National Committee for further information.

IEC Central Office Tel.: +41 22 919 02 11
3, rue de Varembé Fax: +41 22 919 03 00

CH-1211 Geneva 20 info@iec.ch
Switzerland www.iec.ch
About the IEC
The International Electrotechnical Commission (IEC) is the leading global organization that prepares and publishes
International Standards for all electrical, electronic and related technologies.

About IEC publications
The technical content of IEC publications is kept under constant review by the IEC. Please make sure that you have the

latest edition, a corrigenda or an amendment might have been published.

IEC Catalogue - webstore.iec.ch/catalogue Electropedia - www.electropedia.org
The stand-alone application for consulting the entire The world's leading online dictionary of electronic and
bibliographical information on IEC International Standards, electrical terms containing more than 30 000 terms and
Technical Specifications, Technical Reports and other definitions in English and French, with equivalent terms in 15
documents. Available for PC, Mac OS, Android Tablets and additional languages. Also known as the International
iPad. Electrotechnical Vocabulary (IEV) online.

IEC publications search - www.iec.ch/searchpub IEC Glossary - std.iec.ch/glossary
The advanced search enables to find IEC publications by a More than 60 000 electrotechnical terminology entries in
variety of criteria (reference number, text, technical English and French extracted from the Terms and Definitions
committee,…). It also gives information on projects, replaced clause of IEC publications issued since 2002. Some entries
and withdrawn publications. have been collected from earlier publications of IEC TC 37,

77, 86 and CISPR.
IEC Just Published - webstore.iec.ch/justpublished

Stay up to date on all new IEC publications. Just Published IEC Customer Service Centre - webstore.iec.ch/csc
details all new publications released. Available online and If you wish to give us your feedback on this publication or
also once a month by email. need further assistance, please contact the Customer Service
Centre: csc@iec.ch.
ISO/IEC TR 11801-9903
Edition 1.0 2015-10
TECHNICAL
REPORT
colour
inside
Information technology – Generic cabling systems for customer premises –

Part 9903: Matrix modelling of channels and links

INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
ICS 35.200 ISBN 978-2-8322-2923-1

– 2 – ISO/IEC TR 11801-9903:2015

 ISO/IEC 2015
CONTENTS
FOREWORD . 4

INTRODUCTION . 6

1 Scope . 8

2 Normative references . 8

3 Terms, definitions and abbreviations . 8

3.1 Terms and definitions . 8

3.2 Abbreviations . 9
4 Matrix model . 9
5 Matrix definition . 10
5.1 Quadriports . 10
5.2 Matrix port definition for a two pair system representative for modelling
purposes . 10
5.3 Operational scattering matrix . 10
5.4 General naming convention. 11
5.5 S-Matrix . 11
5.6 Passivity . 12
5.7 Operational reflexion loss matrix . 12
5.8 Transmission matrix (T-matrix) . 13
5.9 S-matrix of cabling . 13
6 Calculation with matrices using limit lines . 13
7 Extracting limit lines . 14
7.1 General . 14
7.2 Equations to extract the cabling limit lines . 14
7.2.1 Operational attenuation . 14
7.2.2 Near end crosstalk . 15
7.2.3 Attenuation to far end crosstalk ratio . 15
7.2.4 Reflection . 15
8 Component values to be used as input to the model . 15
8.1 General . 15
8.2 Cable . 16
8.2.1 General . 16
8.2.2 Wave attenuation . 16

8.2.3 Near end crosstalk . 16
8.2.4 Far end crosstalk . 16
8.2.5 Reflection . 16
8.3 Connections . 17
8.3.1 General . 17
8.3.2 As point source of disturbance . 17
8.3.3 As a transmission line . 18
Annex A (informative) S to T and T to S-matrix conversion formulas . 19
A.1 Overview. 19
A.2 Formulas. 19
Annex B (informative) Calculation examples . 20
B.1 Overview. 20
B.2 Component assumptions for modelling purposes. 20

 ISO/IEC 2015
B.2.1 Cables . 20

B.2.2 Connections . 21

B.3 Model results . 21

B.3.1 General . 21

B.3.2 Insertion loss . 21

B.3.3 NEXT . 22

B.3.4 ACR-F . 22

B.3.5 Return loss . 22

Annex C (informative) Terms and definitions . 23

C.1 Comparison of namings . 23
C.2 General . 24
C.3 Background of terms and definitions . 24
C.3.1 Operational attenuation . 24
C.3.2 Operational transfer function (T ) . 26
B
C.3.3 Image or wave transfer function (T) . 26
C.3.4 Insertion transfers function of a two-port (T ) . 26
BI
C.3.5 Insertion transfer function (T ) measured with a NWA . 26
BI
C.3.6 Operational reflection loss transfer function (T = S ) of a junction. 26
ref ref
Bibliography . 28

Figure 1 – Link configurations of ISO/IEC 11801:2002 . 6
Figure 2 – Matrix definition of a 4 port 2 twisted pair system . 10
Figure 3 – Operational scattering parameters example from port 2 . 11
Figure 4 – All 4 ports operational scattering parameter definition . 11
Figure 5 – S-Matrix definition showing corresponding S parameters . 11
Figure 6 – Equal S parameters for real components . 12
Figure 7 – Final operational scattering matrix for real components . 12
Figure 8 – Definition of the operational reflection loss matrix with unitarity included
(see C.3.6) . 13
Figure 9 – Transmission matrix concatenation showing an example of a 2 connector
permanent link . 13
Figure 10 – Graphical example of a NEXT-L calculation showing statistical results
(red) and final calculation (blue) . 14
Figure 11 – 100 m cable return loss without reflection at both ends . 17

Figure 12 – 100 m cable return loss with a reflection of 0,03 at both ends (6 Ω
mismatch, ~23 dB return loss at 1 MHz) . 17
Figure C.1 – Defining the operational attenuation and the operational transfer functions
of a two-port . 25
Figure C.2 – Defining the reflection transfer functions and the return loss of a junction . 27

Table B.1 – Modelling assumptions for cable transmission parameters . 20
Table B.2 – Modelling assumptions for connection transmission parameters . 21
Table B.3 – Insertion loss . 21
Table B.4 – NEXT . 22
Table B.5 – ACR-F . 22
Table B.6 – Return loss . 22
Table C.1 – Comparison of naming in ISO/IEC 11081:2002 and this technical report . 23

– 4 – ISO/IEC TR 11801-9903:2015

 ISO/IEC 2015
INFORMATION TECHNOLOGY –
GENERIC CABLING SYSTEMS FOR CUSTOMER PREMISES –

Part 9903: Matrix modelling of channels and links

FOREWORD
1) ISO (the Int
...

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