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PRODYN PASSIVE INTEGRATORS
MODELS PI-1, 5, 10 & 100
The PI-1, 5, 10, and 100 series Integrators are passive resistor-capacitor
integrators with standard RC time constants of 1, 5, 10 or 100 microseconds.
They are available with standard connector types such as SMA (shown)
or other styles can be specified. The unit and its idealized circuit
(which is based on the AFWL RCI-1B integrator) is shown below:
The transfer function of the Integrator is implicit in the Differential equation:
| R dq q |
|
| ____ + ___ |
= V in (t)
|
| dt C |
where q is the charge on the capacitor. The integrator is designed to
drive a >1 megohm, <10 pf load impedance. The voltage out is essentially
the voltage across the capacitor, q/C, which is calculated by solving
(integrating) the differential equation for q(t). This is most conveniently
done by Laplace transforms, which yield the transfer function in the
frequency domain:
| Vout(s) |
1 |
| ___ |
= |
___ |
| Vin(s) |
sRC + 1 |
where s = j = Laplace operator. The transfer function is an integrator
for sinusoidal inputs with frequencies large compared to 1/2pRC ;
or for transient inputs for times small compared to RC.
Typical performance of the PI-100 integrating a 5ms square pulse is
shown at the right. This pulse is integrated with an error of
2.5% over the 5ms duration.
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SPECIFICATIONS
Load Impedance >1 megohm, <10 pf
Maximum Vin Dependent on Connector Type
RC (Time Constant) 1ms 5ms 10ms 100ms
CW Accuracy (5%) 100 MHz 75 MHz 63 MHz 20 MHz
CW Accuracy (3 db) 200 MHz 150 MHz 126 MHz 40 MHz
Connectors SMA, TNC, BNC, N, GR (others on Special Order)
Size 1.00 (2.5 CM) x 1.00 (2.5 CM) x 2.0 (5.0 CM)
(Body Length)
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