MODEL 427 OPERATION
this oethad is ueeful only far application* where
the shunt capacitance C is constant. Aaide from
thin drawback this is * 1eSitimste approach which
is being wed in low-noise, high-speed current-
meesuring applicatians. In addition to current noise
in the *hunt and in the amplifier input stage, B
maJor source of noise in this system *ri*** from
the voltage-noise generator ssaociated with thb in-
put atage (reflected a* current noise in the shunt
resistor) caused by the high-frequency peeking in
the following stages of amplification. More will be
said about this in the discussion on noise behavior.
3. A third method used for speeding up * current
measurement asas guarding techniques to eliminate
the effects of capacit*nces. Unfortunately only
certain type* of capacitance*, such ** cable cap=-
itances, can be conveniently eliminated in this
manner. To eli,r,inate the effect of parasitic c*p*c-
itences associated with the *ource itself became*
very cumbersome and m*y not be feasible in many in-
stsnces. The major *ourc** of noise in this *“*tern
*re identical to those mentioned in the second
system.
4. A fourth circuit configuration combines the
capability of low-noise and high-speed performance
with tolerance for varying input C and eliminate*
need for separate guard by making the ground plane
*n effective guard. This is the current-feedback
technique. This technique gives * typical improve-
ment of 3 over shunt technique*. Again, the major
sources of noise are identical to those mentioned
in the second system.
d. Noise in Current Measurements. Noise forms *
b*aic limitation in *nv hinh-speed current-measurinn
system. The shunt *y&m give; the simplest curren;
measurement but does not give low-noise performance.
A properly designed feedback *y*tem gives superior
noise - bandwidth performance. Noise in these two
systems will be discussed next.
1. Noise Behavior of the Shunt System. High
speed end low noise *r* contradictory requirements
in any current meesurement because *orw capacitance
is always present. The theoretical performance
limftetion of the shunt *yetem c*n be calculated **
FO F> LOG FREWENCY
FIGURE 6. ny tailoring the frequency response of the
amplifier (Pig. 6a) the frequency response
of the shunt method c*n be extended.
The rms thermal noise current (in) generated by *
resistance R is given by
Eq. 4
The equivalent noise bandwidth (.f) of * parallel SC
combination is Af = 1/(4RC) snd the eignal hand-
width (3 dB bandwidth) F, = 1/(2nRC). For practical
purposes peak-to-peak noise is taken 88 5 times the
ml* value. The peak-to-peak noise current can now
be written a*
i
UPP = 2 x 10-9 F, F Eq. 5
In practice, e typical value for shunt cape.cit*nce
is 100 picofarads. With this value the following
rule-of-thumb is obtained. The lowest ratio of
detectable current divided by signal bandwidth using
*hunt-techniques is 2-10-14 ampere/Hertz for B peak-
to-peak signal-to-noise ratio equal to 1. A coroll-
ary far this rule-of-thumb expresses the noise cur-
rent in term* of obtainable risetime (lo-SO% rise-
time tr = 2.2 RC). The lowest product of detectable
current and risetime using shunt technique* is 7 x
lo-l5 ampere seconds. In this derivation it has been
assumed that the voltage amplifier does not contri-
bute noise to the measurement.
2. Noise Behavior of the Feedback System. There
are three *ource* of noise in the feedback system
that have to be looked at closely. The firat two,
input-stage shot noise and current noise from the
mea*urinS resistor, are rather straight-forward. The
third, voltage noise from the input device of the
amplifier, cau*e* *ome peculiar difficulties in the
measurement. Any resistor connected to the input
injects white current noise (Eq. 4). In the circuit
of Figure 7 the only resistor that is connected to
the input is the feedback resistor R. As in the
shunt system, R must be made large for lowest noi*e.
Beceuse this noise is white, the total contribution
can be calculated by equ.,ting Af to the equivalent
noise bandwidth of the system. The second *ource of
noise is the current noise from the amplifier input.
This component is essentially the shot noise asaoci-
ared with the gate leakage current (io) of the input
device. Its rms value equals . . .
FO F, LOG FREQUENCY
FIGURE 6b. Extended frequency response.
0471