
4-4
to Channel gain of 1 with any Cross Point or network used to
connect the two line cards. Also included is an easy
procedure to verify the calculations.
Discussion
Channel to Channel gain is dependent upon: the 2-wire to
4-wire and the 4-wire to 2-wire gains of the HC5503X being
one, the gain setting resistors of the differential amplifier
(R
4
, R
5
, R
14
, and R
15
), the resistance of the Cross Point
Switch (Rx) and resistors R
6
and R
16
(Reference Figure 5).
The resistance values of R
6
and R
16
are generally set to
604
for impedance matching to a transformer line card. If
impedance matching to a 600
transformer is not a design
requirement, then the values of R
6
and R
16
are not critical
and can be set to match various impedances. It is important
however, that R
6
equal R
16
.
Figure 2 is a simplified version of the Junctor circuit and
shows the critical components required to calculate the
optimum R
14
value to obtain a Channel A to Channel B gain
of one. Because the 2-wire to 4-wire gain of the HC5503X is
one, the voltage appearing at V1 is the tip to ring voltage of
Channel A (Summing amplifier configured for a gain of one).
The tip to ring voltage of Channel B is equal to the voltage at
VO, because the 4-wire to 2-wire gain of the HC5503X is
also one. Writing an equation for VO in terms of V1 will
enable the gain to be set to one and the corresponding
resistor values determined.
Equation 4 can be used to determine the output voltage of
the differential amplifier, and therefore the tip to ring voltage
of Channel B, in terms of the voltage at V2.
The voltage at V2, with respect to V1, is:
Substituting Equation 5 into Equation 4 and defining
R
X
′
= R
X
+ R
10
. Where R
X
′
is the total network resistance
connecting Junctor A and Junctor B input/outputs.
Dividing both sides by V1 yields an equation for Channel A
to Channel B gain.
Setting V0/V1 equal to one and rearranging to solve for R
14
,
assuming R
6
= R
16
, yields Equation 8.
R
′
6
Equation 8 can be used for the calculation of R
14
to achieve
a Channel A to Channel B Gain of one. A similar analysis for
the calculation of R
4
to achieve a Channel B to Channel A
gain of one is given in Equation 9.
R
′
6
The value of R
14
and R
4
can now be determined for any
network resistance. The network resistance is defined as the
total resistance between the Junctor inputs/outputs. In the
case of the demo board the network resistance is the
resistance of the Cross Point Switch (50
) and R
10
(100
)
. If
R
1
= R
11
= R
2
= R
12
= R
5
= R
15
= 10k
, R
6
= R
16
= 604
and the Network = 150
then R
4
= 12.48k
. Closest
standard value is 12.7k
.
If the Network resistance is equal to
50
(Single CD22M3493 Cross Point), then R
4
= 10.83k
.
Closest standard value is 10.7k
.
Verification
The following procedure can be used to verify the above
calculations.
Setup
1. Connect the power supplies to the Evaluation board.
2. Set V
BAT
to -48V, V
CC
to +5V and V
EE
to -5V.
3. Set the DPDT switch (S1) to Junctor operation. This
connects the Onboard Op Amp, Cross Point Switch and
the second HC5503X SLIC to the Transmit and Receive
outputs of Channel A.
4. Terminate tip and ring of
both
Channel A and Channel B
with a 600
load.
VO
V2 1
R
15
---------
+
=
(EQ. 4)
V2
R
6
X
R
10
R
16
+
---------+
V1
=
(EQ. 5)
VO
V1
R
X
6
16
+
---------+
1
R
15
---------
+
=
(EQ. 6)
--------
-----------------------------
R
X
6
16
+
---------+
1
R
15
---------
+
=
=
(EQ. 7)
R
14
R
15
1
---------
+
=
(EQ. 8)
R
4
R
5
1
---------
+
=
(EQ. 9)
+
-
+
-
R
2
10k
R
6
600
JUNC A
-5V
5V
-5V
5V
+
-
R
16
600
JUNC B
-5V
5V
150
FIGURE 2. CHANNEL TO CHANNEL TRANSHYBRID BALANCE
VO
TRANSMIT OUTPUT OF CHANNEL
B IS ZERO
CHANNEL
B
CHANNEL
A
V2
R
6
600
50
V1
V2
DIFFERENTIAL AMPLIFIER
R
1
10k
10k
R
5
10k
R
15
12.7k
R
R
12
10k
R
11
10k
V1
X POINT
R
10
100
R
16
600
N
R
X
′
R
X
R
10
R
X
′ = R
X
+ R
10
Application Note 9813