ISO/IEC TR 11801-9903:2015

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

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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
...