Physics and Engineering of Radiation Detection

482 Chapter 8. Signal Processing

Rd

Rd

~2Rd

∆T

∆T

2 ∆T

∆T

∆T

∆T

Preamplifier

Preamplifier

Inverter

(a)

Delay−Line

Shaper

(b)

Delay−Line

Shaper

Figure 8.3.3: (a) Typical single delay line pulse shaping circuitry. (b) Double

delay line shaping in which the output of the first shaper is fed into the input

of the second single line shaper.

Ri

Cd

Ci

Ri

Rd

Ci

RdCd

63%

63%

(a)

(b)

τ

τ=

=

Figure 8.3.4: Response of simple (a)

CR differentiator or high pass filter

and (b) RC integrator or low pass filter

to a step input pulse.

preamplifier output going into the CR differentiator can be considered a unit step
function. In such a case the output can be approximated by

Vout=e−t/τd, (8.3.3)

whereτd=RdCdis the time constant.