Intermodulation distortion product TSH350
16/22
6 Intermodulation distortion product
The non-ideal output of the amplifier can be described by the following series:
where the input is V
in
=Asinωt, C
0
is the DC component, C
1
(V
in
) is the fundamental and C
n
is
the amplitude of the harmonics of the output signal V
out
.
A one-frequency (one-tone) input signal contributes to harmonic distortion. A two-tone input
signal contributes to harmonic distortion and to the intermodulation product.
The study of the intermodulation and distortion for a two-tone input signal is the first step in
characterizing the driving capability of multi-tone input signals.
In this case:
then:
From this expression, we can extract the distortion terms, and the intermodulation terms
from a single sine wave:
second order intermodulation terms IM2 by the frequencies (ω
1
-ω
2
) and (ω
1
+ω
2
) with an
amplitude of C2A
2
third order intermodulation terms IM3 by the frequencies (2ω
1
-ω
2
), (2ω
1
+ω
2
), (ω
1
+2ω
2
)
and (ω
1
+
2
) with an amplitude of (3/4)C3A
3
The intermodulation product of the driver is measured by using the driver as a mixer in a
summing amplifier configuration (see Figure 33). In this way, the non-linearity problem of an
external mixing device is avoided.
Figure 33. Inverting summing amplifier (using evaluation board SO8_S_MULTI)
V
out
C
0
C
1
V
in
C
2
V
2
in
C+
n
V
n
in
++ +=
V
in
A ω
1
tsin A ω
2
tsin+=
V
out
C
0
C
1
A ω
1
tsin A ω
2
tsin+()C
2
A ω
1
tsin A ω
2
tsin+()
2
C
n
A ω
1
tsin A ω
2
tsin+()
n
++ +=
+
_
R
R
fb
100
V
out
R2
V
in2
V
in1
R1
+
_
R
R
fb
100
V
out
R2
V
in2
V
in1
R1
Obsolete Product(s) - Obsolete Product(s)
TSH350 Inverting amplifier biasing
17/22
7 Inverting amplifier biasing
A resistance is necessary to achieve good input biasing, such as resistance R shown in
Figure 34.
The magnitude of this resistance is calculated by assuming the negative and positive input
bias current. The aim is to compensate for the offset bias current, which could affect the
input offset voltage and the output DC component. Assuming I
ib-
, I
ib+
, R
in
, R
fb
and a zero
volt output, the resistance R is:
Figure 34. Compensation of the input bias current
R
R
in
R
fb
×
R
in
R+
fb
------------------------=
R
Load
Output
R
fb
R
in
I
ib-
I
ib+
V
CC+
V
CC-
+
_
R
Load
Output
R
fb
R
in
I
ib-
I
ib+
V
CC+
V
CC-
+
_
Obsolete Product(s) - Obsolete Product(s)
Active filtering TSH350
18/22
8 Active filtering
Figure 35. Low-pass active filtering, Sallen-Key
From the resistors R
fb
and R
G
we can directly calculate the gain of the filter in a classic non-
inverting amplification configuration:
We assume the following expression as the response of the system:
The cut-off frequency is not gain-dependent and so becomes:
The damping factor is calculated by the following expression:
The higher the gain, the more sensitive the damping factor is. When the gain is higher than
1, it is preferable to use some very stable resistor and capacitor values. In the case of
R1=R2=R:
Due to a limited selection of values of capacitors in comparison with resistors, we can set
C1=C2=C, so that:
+
_
R
G
IN
R
fb
910
100
OUT
R
1 R2
C2
C1
+
_
R
G
IN
R
fb
910
100
OUT
R
1 R2
C2
C1
A
V
g1
R
fb
R
g
--------+==
T
jω
Vout
jω
Vin
jω
-----------------
g
12
ζ
jω
ω
c
-----
jω()
2
ω
c
2
------------++
-----------------------------------------==
ω
c
1
R1R2C1C2
-------------------------------------=
ζ
1
2
---
ω
c
C
1
R
1
C
1
R
2
C
2
R
1
C
1
R
1
g++()=
ζ
2C
2
C
1
R
fb
R
g
--------
2C
1
C
2
---------------------------------=
ζ
2R
2
R
1
R
fb
R
g
--------
2R
1
R
2
---------------------------------=
Obsolete Product(s) - Obsolete Product(s)

TSH350ILT

Mfr. #:
Manufacturer:
STMicroelectronics
Description:
Operational Amplifiers - Op Amps Single Low Noise
Lifecycle:
New from this manufacturer.
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