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AN3394 Datenblatt(PDF) 23 Page - STMicroelectronics

Teilenummer AN3394
Bauteilbeschribung  Antenna design and impedance matching guidelines for CR95HF multiprotocol contactless transceiver IC
PDF  29 Pages
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Hersteller  STMICROELECTRONICS [STMicroelectronics]
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AN3394
Demonstration of C11 and C22 calculation
Doc ID 018754 Rev 5
23/29
Appendix A
Demonstration of C11 and C22 calculation
A.1
Equivalent circuit
Ztot defines the input impedance of the matching circuit and the equivalent parallel antenna.
Figure 22.
Final equivalent circuit
1.
Calculation of Req:
Equation (A.I.1)
2.
Calculation of Ztot:
Equation (A.I.2)
3.
Resonance pulsation:
To determine the resonance pulsation, the imaginary part of Ztot must be cancelled. The
conditions are:
Equation (A.I.3)
R
eq
R
RXP
R
PA
×
R
RXP
R
PA
+
--------------------------------
=
Z
tot
1
jC
11
ω
×
×
---------------------------
R
eq
1L
PA
ω
2
C
22
C
11 )
+
(
×
×
() j ω L
PA
×
×
+
×
R
eq 1LPA
C
22
ω
2
×
×
() j ω L
PA
×
×
+
------------------------------------------------------------------------------------------------------------------------------
×
=
Z
tot
R
tot
jX
tot
×
+
=
R
tot
R
out
=
and
X
tot
0
=
R
tot
R
eq
L
PA
C
11
ω
2
1L
PA
ω
2
×
C
22
C
11
+
()
ω
2
L
PA
R
eq
×
×
C
11
×
1L
PA
ω
2
C
22
×
×
()
×
+
()
×
×
×
×
R
eq
C
11
ω
×
×
()
2
1L
PA
C
22
ω
2
×
×
()
2
ω
2
L
PA
C
11
×
×
()
2
+
×
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
=



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