TS616IDW datasheet(32/36 Pages) STMICROELECTRONICS

32 / 36 page

Increasing the line level using active impedance matching

TS616

32/36

First let’s consider the unloaded system. We can assume that the currents through R1, R2

and R3 are respectively:

As Vo° equals Vo without load, the gain in this case becomes:

The gain, for the loaded system is given by Equation 6:

Equation 6

The system shown in Figure 70 is an ideal generator with a synthesized impedance acting

as the internal impedance of the system. From this, the output voltage becomes:

Equation 7

where Ro is the synthesized impedance and Iout the output current.

On the other hand Vo can be expressed as:

Equation 8

By identification of both Equation 7 and Equation 8, the synthesized impedance is, with

Rs1 = Rs2 = Rs:

Equation 9

2Vi

---------

–

()

---------------------------and

()

------------------------

Vo noload

()

--------------------------------

2R2

-----------

--------

–

------------------------------------

Vo withload

()

-------------------------------------

---

2R2

-----------

--------

–

------------------------------------

ViG

()

Iout

⋅

()

–

Vi 1

2R2

-----------

--------

⎝⎠

⎛⎞

--------

–

-----------------------------------------------

Rs1Iout

--------

–

----------------------

–

--------

–

-----------------

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