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4-5
Substituting the required voltage levels (Figure 5) for V
GSX
(1.2276) and V
2W
(0.7745) and rearranging to solve for R
a2
results in Equation 29. Where: V
GSX
/ V
2W
=1.585, and
Z
0
=R
Z01
.
The value of R
a2
needs to be scaled by 1000 to minimize the
effects of the parallel resistance R
Z02
and R
a5
on the gain
adjustment resistor R2.
The nearest standard value for R
a2
is 255k
.
R
a3
needs to increase by (1.585) to maintain the same
feedback for impedance matching Equation 30.
The closest standard value is for R
a3
is 316k
.
To achieve a 4-wire to 2-wire gain (DR to V
2W
) equal to 0dB
we need to decrease the input to the feedback circuit from
the VFRO pin to account for the +4dB increase in the
TP3057A. A simple voltage divider will decrease the 1.2276
volt input down to the required 0.7745 volts Equation 31.
R
2
Rearranging to solve for R
2
results in Equation 32.
If R
1
equals 1k
then R
2
equals 1.709k
. Notice however
that R
2
is in parallel with R
3
, R
Z02
+ R
a5
and R
a1
.
Therefore, the correct value of R
2
must consider this parallel
combination to achieve 0dBm0
(600
)
at the load. This
calculation results in a value of 1.73k
. The closest standard
value for R
2
is 1.74k
.
Transhybrid Balance (Z
L
= 600
)
The internal GSX amplifier of the TP3057A is used to
perform the transhybrid balance function. For discussion
purpose, the GSX amplifier is redrawn with the external
resistors in Figure 6. The transfer function of the amplifier is
given in Equation 33 and Equation 34.
R
a5
V1 is equal to (0.7745V
RMS
)(2/3). V2 is equal to
0.7745V
RMS
(0dBm0
(600
)
). The results of rearranging
Equation 34 to solve for Ra5 and substituting in the values
for V
1
and V
2
are shown in Equation 35.
)
Closest standard value for Ra5 is 525k
.
TEXAS
GSX
DR
DX
FIGURE 5. REFERENCE DESIGN OF THE HC5503PRC AND THE TP3057A WITH A 600
LOAD IMPEDANCE
T
F
R
F
INTERSIL
HC5503PRC
R
X
T
X
0.47
μ
0.47
μ
Ra
3
316k
V
TX =
V
2W
(2/3)
R
S
100
R
P
50
R
S
100
R
P
50
Z
O
600
Ra
2
R
Z01
V
RX
Ra
4
200k
V
GSX
Ra
1
Ra
5
V
IN
R
Z02
600k
V
2W
-
+
VFXI-
VFXI+
PCM
BUS
0dBm0
(600
)
0.7745V
RMS
1.22765V
RMS
+4dBm0
(600
)
VFRO
R
2
1.74k
R
1
1k
0dBm0
(600
)
0.7745V
RMS
0dBm0
(600
)
0.7745V
RMS
0dBm0
(600
)
0.7745V
RMS
-3.52dBm0
(600
)
(0.7745)(2/3)V
RMS
1.22765V
RMS
+4dBm0
(600
)
0dBm0
(600
)
0.7745V
RMS
525k
R
F
267k
255k
600k
G4-2
-
- 4dB
+
-
+ 4dB
INSTRUMENTS
TP3057A
100k
G2-4
R
a2
--------------
252.3
=
=
(EQ. 29)
R
a3
200k
(
)
1.585
(
)
317k
=
=
(EQ. 30)
0.7745
1
---------+
1.2276
=
(EQ. 31)
R
2
R
1
1.709
(
)
=
(EQ. 32)
V
OUT
V2
Z02
------------+
R
------------------------------
R
+
a2
V1
R
a2
-------------
–
=
(EQ. 33)
V
OUT
V2
R
a5
------------+
---------------------+
V1255K
–
=
(EQ. 34)
R
a5
-------------------–
527.47k
=
=
(EQ. 35)
Application Note 9872