Transmission properties of cascaded two-ports or quadripols - Background of terms and definitions

IEC/TR 62152:2009(E) lays the foundation for agreement on the fundamental terms and definitions to be used world wide in describing the transmission properties of a two-port or quadripole end and builds a bridge between the classical quadripole theory and the scattering matrix presentation which is based on incident and reflecting square root of power waves at the input and output of a two-port. This second edition cancels and replaces the previous one and introduces some technical improvements. Important terms and definitions have been added. Some of the terms are better described in the German language and therefore many countries have originally taken terms and definitions from German and translated them into their own language.

General Information

Status
Published
Publication Date
13-Dec-2009
Current Stage
PPUB - Publication issued
Start Date
15-Jan-2010
Completion Date
14-Dec-2009
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IEC/TR 62152 ®
Edition 2.0 2009-12
TECHNICAL
REPORT
colour
inside
Transmission properties of cascaded two-ports or quadripols - Background of
terms and definitions
IEC/TR 62152:2009(E)
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IEC/TR 62152 ®
Edition 2.0 2009-12
TECHNICAL
REPORT
colour
inside
Transmission properties of cascaded two-ports or quadripols - Background of
terms and definitions
INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
PRICE CODE
XB
ICS 31.020 ISBN 978-2-88910-636-3
– 2 – TR 62152 © IEC:2009(E)
CONTENTS
FOREWORD.4
1 Scope.6
2 Normative references .6
3 Terms, definitions, symbols, units and abbreviated terms .6
3.1 Definitions .6
3.2 Terms, symbols, units and abbreviated terms.7
4 Transfer functions and complex attenuations or losses of a two-port .10
4.1 General remarks.10
4.2 Operational transfer function ( T ) .11
B
4.2.1 Image transfer function ( T ) .11

4.2.2 Insertion transfer function ( T ) .11
B
4.3 Complex attenuation .11
4.3.1 Complex operational attenuation (Γ )(Komplexe Betriebs-Dämpfung) .11
B
4.3.2 Complex image attenuation (Γ )(Komplexe Wellen-Dämpfung) .12

4.3.3 Complex insertion attenuation or loss (Γ )(Komplexe Einfüge-
B
Dämpfung).12
Annex A (normative) Concepts of normalized voltage waves, square root of power
waves and operational attenuation and losses .13
Annex B (normative) Image transmission parameters/quantities of a two-port and
transmission line approximations .22
Annex C (normative) Two-port theory and fundamental concepts in transmission
engineering.24
Bibliography.61

Figure 1 – Defining the transfer functions of a two-port .11
Figure A.1 – Reflection at a junction .16
Figure A.2 – Constant value A and A curves on a complex plane z = x + jy.16
s r
Figure A.3 – Two-port representation of a transmission line.17
Figure A.4 – Coupling between two systems .19
Figure C.1 – A two-port or quadripole .24
Figure C.2 – An impedance-unsymmetrical two-port (a) with its equivalent circuit (b).26
Figure C.3 – Two chained two-ports.27
Figure C.4 – An impedance-symmetrical two-port with Z = Z , when Z = Z .29
1 2 A B
Figure C.5 – An impedance-unsymmetrical two-port for which Z ≠ Z when Z = Z .29
1 2 A B
Figure C.6 – A two-port terminated with an impedance Z .30
B
Figure C.7 – Reflection loss matching.32
Figure C.8 – Power matching for maximizing the effective power .32
Figure C.9 – Absolute and nominal level in a system .34
Figure C.10 – Definition of the complex image attenuation Γ of a two-port .34
Figure C.11 – Definition of the complex operational attenuation of a two-port .35
Figure C.12 – Definition of residual attenuation.36
Figure C.13 – Measurement of the sending reference equivalent .37
Figure C.14 – Measurement of the receiving reference equivalent .37

TR 62152 © IEC:2009(E) – 3 –
Figure C.15 – Definition of the complex return loss .38
Figure C.16 – Apollonius’ circle.39
Figure C.17 – Return loss .40
Figure C.18 – Curves for constant values of A or A in the complex plane .42
s r
Figure C.19 – Curves for constant values of A or A in the complex plane .43
s r
Figure C.20 – Smith chart for transmission lines .44
Figure C.21 – A one-port .45
Figure C.22 – Homogenous transmission line .46
Figure C.23 – One-port fed from a generator with source impedance Z .47
g
Figure C.24 – A two-port.49
Figure C.25 – Termination Z by virtue of the scattering parameters of the two-port .50
B
Figure C.26 – Ideal transformer .53
Figure C.27 – Scattering matrix of a passive reciprocal two-port .55
Figure C.28 – A two-port.58
Figure C.29 – The insertion of a two-port into a network and the deviations caused to
the operational parameters. .59
Figure C.30 – Power wave schematic for S and T matrix parameters .60

Table B.1 – Transmission quantities of a two-port and homogeneous transmission line .23

– 4 – TR 62152 © IEC:2009(E)
INTERNATIONAL ELECTROTECHNICAL COMMISSION
____________
BACKGROUND OF TERMS AND DEFINITIONS
OF CASCADED TWO-PORTS
FOREWORD
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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".
IEC 62152, which is a technical report, has been prepared by IEC technical committee 46:
Cables, wires, waveguides, r.f. connectors, r.f. and microwave passive components and
accessories.
The text of this technical report is based on the following documents:
Enquiry draft Report on voting
46/283/DTR 46/300/RVC
Full information on the voting for the approval of this technical report can be found in the
report on voting indicated in the above table.

TR 62152 © IEC:2009(E) – 5 –
This second edition cancels and replaces the first edition published in 2004 and constitutes
some technical improvements.
Important terms and definitions have been added.
Some of the terms are better described in the German language and also many countries
have originally taken terms and definitions from German and translated them into their own
language.
Therefore important terms have been added in German in the form of a footnote.
This publication has been drafted in accordance with the ISO/
...

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