ISO/IEC TR 11801-9903:2015
(Main)Information technology — Generic cabling systems for customer premises — Part 9903: Matrix modelling of channels and links
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.
Technologies de l'information — Câblage générique des locaux d'utilisateurs — Partie 9903: Modelage de la matrice des canaux et liens
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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
ISO/IEC TR 11801-9903:2015-10(en)
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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
Warning! Make sure that you obtained this publication from an authorized distributor.
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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
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ISO/IEC TR 11801-9903:2015 – 3 –
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
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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 worldwide standardization. National bodies that are members of ISO or IEC
participate in the development of International Standards through technical committees established by the
respective organization to deal with particular fields of technical activity. ISO and IEC technical committees
collaborate in fields of mutual interest. Other international organizations, governmental and non-governmental, in
liaison with ISO and IEC, also take part in the work. In the field of information technology, ISO and IEC have
established a joint technical committee, ISO/IEC JTC 1.
2) The formal decisions or agreements of IEC and ISO on technical matters express, as nearly as possible, an
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The main task of IEC technical committees is to prepare International Standards. However, a
technical committee may propose the publication of a technical report when it has collected
data of a different kind from that which is normally published as an International Standard, for
example "state of the art".
ISO/IEC TR 11801-9903, which is a technical report, has been prepared by subcommittee 25:
Interconnection of information technology equipment, of ISO/IEC joint technical committee 1:
Information technology.
The list of all currently available parts of the ISO/IEC 11801 series, under the general title
Information technology – Generic cabling for customer premises, can be found on the
IEC web site.
This Technical Report has been approved by vote of the member bodies, and the voting
results may be obtained from the address given on the second title page.
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ISO/IEC TR 11801-9903:2015 – 5 –
ISO/IEC 2015
This publication has been drafted in accordance with the ISO/IEC Directives, Part 2.
IMPORTANT – The 'colour inside' logo on the cover page of this publication indicates
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ISO/IEC 2015
INTRODUCTION
The pass/fail limits for defined channel and permanent link cabling configurations have an
implicit impact on the component limits for the cabling components used. The channel
configurations are described in Clause 5, the link configurations in Clause 6 of
ISO/IEC 11801:2002 with its amendments 1:2008 and 2:2010.
The permanent link configurations, which represent the fixed portion of the cabling, have two
possible topologies:
A connection plus a segment of cable plus a connection (2 connector topology).
A connection plus a segment of cable plus a connection plus another segment of cable plus
another connection (3 connector topology).
a) Configuration PL1
Backbone cabling
Tester C C C C Tester
PP PP
Permanent link
IEC
b) Configuration PL2
Horizontal cabling
Tester C C C C Tester
PP TO
Permanent link
IEC
c) Configuration PL3
Horizontal cabling
Tester C C C C C Tester
CP
PP TO
Permanent link
IEC
d) Configuration CP1
Horizontal cabling
Tester C C C C Tester
PP CP
CP link
IEC
PP = patch panel; C = connection; CP = consolidation point;
TO = telecommunications outlet
Figure 1 – Link configurations of ISO/IEC 11801:2002
This Technical Report includes models and assumptions, which support pass/fail limits for the
channel and permanent link test configurations in this standard. These are based on the
performance requirements of cable and connecting hardware as specified in IEC standards.
This Technical Report provides reasonable assurance that a channel created by adding
compliant patch cords to a previously certified permanent link will meet the applicable channel
performance limits.
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ISO/IEC TR 11801-9903:2015 – 7 –
ISO/IEC 2015
Over the years the frequencies of the classes increased, but the theory for calculating the
limits stayed the same. Especially the higher order effects had to be considered and at the
end only by doing a Monte Carlo calculation, assuming that not all components would be at
the limit at the same time, allowed to prove compliance.
The model uses 2 pairs for all calculations. The limits are equal for pairs or pair combinations
but in reality measured values could be different. If results are required that need more pairs
to be considered, then this calculation can be done based on the results from multiple 2 pair
calculations with appropriate inputs (worst case). An example of such a calculation is the
power sum and average limit lines for 4 pairs.
Symmetry and additional contributions that result from unbalanced signals and differential-to-
common and common-to-differential mode coupling are not included in this Technical Report
but can be added easily in a next step by increasing the matrix size.
For details on the naming of transmission parameters, see definitions and Clause C.1.
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ISO/IEC 2015
INFORMATION TECHNOLOGY –
GENERIC CABLING SYSTEMS FOR CUSTOMER PREMISES –
Part 9903: Matrix modelling of channels and links
1 Scope
This part of ISO/IEC 11801 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
1
next edition of ISO/IEC 11801 .
2 Normative references
The following documents, in whole or in part, are normatively referenced in this document and
are indispensable for its application. For dated references, only the edition cited applies. For
undated references, the latest edition of the referenced document (including any
amendments) applies.
ISO/IEC 11801:2002, Information technology – Generic cabling for customer premises
Amendment 1:2008
2
Amendment 2:2010
3 Terms, definitions and abbreviations
3.1 Terms and definitions
For the purposes of this document, the terms and definitions given in ISO/IEC 11801 and the
following apply.
3.1.1
attenuation
general term to indicate diminishing of signal strength
Note 1 to entry: Details need to be added to indicate the exact usage.
3.1.2
connection
two mated connectors
EXAMPLE: Jack and plug.
3.1.3
image attenuation
wave attenuation
attenuation when a two-port is terminated by its input and output characteristic impedances
with no reflections at input and output
Note 1 to entry: The wave attenuation of cables is length scalable.
______________
1
A new edition of ISO/IEC 11801 is under consideration and is planned as ISO/IEC 11801-1 (first edition).
2
A consolidated version of this publication exists, comprising ISO/IEC 11801:2002,
ISO/IEC 11801:2002/AMD 1:2008 and ISO/IEC 11801:2002/AMD 2:2010.
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ISO/IEC TR 11801-9903:2015 – 9 –
ISO/IEC 2015
3.1.4
insertion loss
attenuation or loss caused by a two-port inserted into a system
3.1.5
insertion loss deviation
deviation of loss (attenuation) with regard to the wave attenuation due to mismatches (not
only at the ends)
3.1.6
operational attenuation
ratio of the square root of the maximum available (complex) power wave from the generator
and the square root of the (complex) power consumed (taken) by the load of the two-port
Note 1 to entry: The operational attenuation is not length scalable (see also C.3.1 and C.3.2).
Note 2 to entry: The operational attenuation is expressed in decibels (dB) and radians (rad).
3.1.7
passivity
property of a passive electrical system
Note 1 to entry: The output power at all ports that does not exceed the input power at all ports.
3.1.8
unitarity
mathematical concept for matrices to define passivity
3.1.9
operational reflection of a junction
loss due to the reflection at a junction
Note 1 to entry: See also C.3.6.
3.2 Abbreviations
For the purposes of this document, the abbreviations given in ISO/IEC 11801 and the
following apply.
DRL distributed return loss
NEXT-L near end crosstalk loss
NEXT-T near end crosstalk transfer function
FEXT-L far end crosstalk loss
FEXT-T far end crosstalk transfer function
ρ Reflection transfer function
Rl Return loss
attenuation-L attenuation loss
attenuation-T attenuation transfer function
4 Matrix model
The model to be used is a concatenated matrix calculation as discussed in IEC TR 62152 for
a 2 port system. For a 2 pair balanced cabling calculation a 4 port differential matrix as shown
in Figure 1 shall to be used.
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ISO/IEC 2015
The model assumes that all components are specified with S-parameters and these
parameters are used then to fill an S-matrix for every cabling component.
To concatenate components these S-matrices are transformed into transmission T-matrices
which can then be multiplied in the appropriate order to simulate the transmission
characteristics of the concatenated components (for details see IEC TR 62152:2009,
Annex C).
To evaluate the transmission performance of the modelled channel or permanent link the
calculated T-matrix of the cabling is transformed back into an S-matrix providing the expected
transmission parameters of the cabling system.
The matrix calculation is done mathematically with S-parameters in amplitude and phase:
a) Measured S parameters are usually known in amplitude and phase.
b) Parameter limit lines for components and for cabling are specified in amplitude only,
usually in decibel. For modelling purposes these amplitudes shall be transformed into a
linear value. For the matrix calculation the phase is added as a random value to reflect
power sum addition (see Clause 6).
5 Matrix definition
5.1 Quadriports
In IEC TR 62152 [1] voltage and currents of the input and output waves are specified for two
ports. In the following the cabling specific notation needed for quadriports (2 pairs) is detailed.
5.2 Matrix port definition for a two pair system representative for modelling purposes
In Figure 2 a 4 port matrix is presented. The definition is one line per port/twisted pair.
Port 1= Port 3=
a
Pair 1 Pair 1
b
Port 2= Port 4=
Pair 2 Pair 2
IEC
Key
a designates a wave entering the quadriport
b designates a wave leaving the quadriport
Figure 2 – Matrix definition of a 4 port 2 twisted pair system
5.3 Operational scattering matrix
Here, the S parameters for a source at port 2 are shown. For all definitions, see 5.4.
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ISO/IEC TR 11801-9903:2015 – 11 –
ISO/IEC 2015
S S
12 32
Port 1 Port 3
S
22
Port 2 Port 4
S
42
IEC
Key
Definition of S parameters: S
output, input
S = Near-end operational crosstalk transfer function (NEXT-T)
12
S = Operational reflections coefficient (ρ)
22
S = Far-end operational crosstalk transfer function (FEXT-T)
32
S = Forward operational transfer function (attenuation-T)
42
Figure 3 – Operational scattering parameters example from port 2
5.4 General naming convention
The naming convention for the four ports is given in Figure 4.
From Port 1: From Port 2: From Port 3: From Port 4:
S NEXT-T S NEXT-T S NEXT-T S NEXT-T
21 12 43 34
S ρ S ρ S ρ S ρ
11 22 33 44
S FEXT-T S FEXT-T S FEXT-T S FEXT-T
41 32 23 14
S attenuation-T S attenuation-T S attenuation-T S attenuation-T
31 42 13 24
IEC
Figure 4 – All 4 ports operational scattering parameter definition
5.5 S-Matrix
For each cabling component (for cables for each length and type involved, for connections for
each type) an S-Matrix has to be developed. It is advised to start the matrix numbering with 1
to be compatible with scattering parameters and generally used definitions (see 5.4) and
IEC TR 62152.
SS S S
11 12 13 14
SS S S
21 22 23 24
S=
SS S S
31 32 33 34
SS S S
41 42 43 44
IEC
Figure 5 – S-Matrix definition showing corresponding S parameters
The equal scattering coefficient due to symmetrical nature of components results in the
following set of equalities:
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ISO/IEC 2015
S13=S31 attenuation-T pair 1
S24=S42 attenuation-T pair 2
S14=S41 FEXT-T pair 1-2
S23=S32 FEXT-T pair 1-2
S21=S12 NEXT-T pair 1-2
S34=S43 NEXT-T pair 1-2
IEC
Figure 6 – Equal S parameters for real components
The equalities provid
...
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