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HC55151 Datasheet(PDF) 17 Page - Intersil Corporation

Part # HC55151
Description  Low Power Universal SLIC Family
PDF  35 Pages
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Manufacturer  INTERSIL [Intersil Corporation]
Direct Link  http://www.intersil.com/cda/home
Logo INTERSIL - Intersil Corporation

HC55151 Datasheet(HTML) 17 Page - Intersil Corporation

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4-17
(AC) 2-Wire to 4-Wire Gain
The 2-wire to 4-wire gain is equal to VTX/EG with VRX = 0
From Equation 18 with VRX = 0
Substituting Equation 24 into Equation 23 and simplifying.
By design, VTX = -VTX´, therefore
A more useful form of the equation is rewritten in terms of
VTX/VTR. A voltage divider equation is written to convert
from EG to VTR as shown in Equation 27.
Rearranging Equation 27 in terms of EG, and substituting
into Equation 26 results in an equation for 2-wire to 4-wire
gain that’s a function of the synthesized input impedance of
the SLIC (ZTR) and the protection resistors (RP).
Notice that the phase of the 2-wire to 4-wire signal is in
phase with the input signal.
(AC) 4-Wire to 4-Wire Gain
The 4-wire to 4-wire gain is equal to VTX/VRX, EG = 0.
From Equation 18.
Substituting -VTR/ZL into Equation 29 for IM results in
Equation 30.
Substituting Equation 21 for VTR in Equation 30 and
simplifying results in Equation 31.
(AC) 2-Wire Impedance
The AC 2-wire impedance (ZTR) is the impedance looking
into the SLIC, including the fuse resistors. The formula to
calculate the proper ZT for matching the 2-wire impedance is
shown in Equation 32.
Equation 32 can now be used to match the SLIC’s
impedance to any known line impedance (ZTR).
VTX
VRX
TIP
RING
ZTR
VTR
EG
VTX´
IM
VTX
UniSLIC14
RP
RP
+
-
+
-
+
-
-
+
VRX
+
-
IM
ZL
FIGURE 17. SIMPLIFIED AC TRANSMISSION CIRCUIT
+
-
500K
RS
+
-
500K
RS
ZT
500K
500K
500K
500K
PTG
+
-
IX
VA = IM(ZTR-2RP)
IX
IX
+
-
IX
+
-
5
+
-
+
-
IM
-
20
Ω
20
Ω
1/80K
= 200 (ZTR - 2RP)
A = 1
IX
I
2
RINT
20
Ω
RINT
20
Ω
E
–
G
Z
LIM
2R
PIM
V
TX′
–
+
+
0
=
Loop Equation
(EQ. 23)
V
TX′
I
M ZTR
2R
P
–
()
–
=
(EQ. 24)
E
G
I
M ZL
Z
TR
+
()
=
(EQ. 25)
G
2-4 =
V
TX
E
G
----------
=
I
M ZTR
2R
P
–
()
I
M ZL
Z
TR
+
()
----------------------------------------
Z
TR
2R
P
–
()
Z
L
Z
TR
+
()
---------------------------------
=
(EQ. 26)
V
TR =
Z
TR
Z
TR
Z
L
+
------------------------



E
G
(EQ. 27)
G
2-4 =
V
TX
V
TR
-----------
=
Z
TR -2RP
Z
TR
-----------------------------
(EQ. 28)
V
TX′
V
–
TX
2
– V
RX
I
M ZTR
2R
P
–
()
+
==
(EQ. 29)
V
TX
2
– V
RX
V
TR ZTR
2R
P
–
()
Z
L
---------------------------------------------
–
=
(EQ. 30)
G
44
–
V
TX
V
RX
-----------
2
–
Z
L+2RP
Z
L
Z
TR
+
------------------------



==
(EQ. 31)
Z
T
200
Z
TR
2R
P
–
()
•
=
(EQ. 32)
HC55120, HC55121, HC55130, HC55131, HC55140, HC55141, HC55142, HC55143, HC55150, HC55151



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