Physics and Engineering of Radiation Detection

476 Chapter 8. Signal Processing 8.2.A TypeofCable A typical signal cable consists of a central metallic wire with a metal shiel ...

8.2. Signal Transport 477 copper is 1. 69 × 10 −^8 Ωcm. Compute the resistance the cable offers to the signal current. Solution: ...

478 Chapter 8. Signal Processing All coaxial cables have characteristic resistance, capacitance and inductance which can be mode ...

8.2. Signal Transport 479 A.2 TwistedPairCable....................... The coaxial cable is a well shielded cable but unfortunate ...

480 Chapter 8. Signal Processing 8.3 PulseShaping............................... The raw signal coming out of a detector is usua ...

8.3. Pulse Shaping 481 (b) Pulse Height Time Pulse Height Time (a) Figure 8.3.2: (a) Pulse pile-up in high rate applica- tions. ...

482 Chapter 8. Signal Processing Rd Rd ~2Rd ∆T ∆T 2 ∆T ∆T ∆T ∆T Preamplifier Preamplifier Inverter (a) Delay−Line Shaper (b) Del ...

8.3. Pulse Shaping 483 The above equation implies that the output pulse decays exponentially with time with a width that can be ...

484 Chapter 8. Signal Processing t/τd 0123456 out V 0 0.2 0.4 0.6 0.8 1 CR filter t/τi 0123456 out V 0 0.2 0.4 0.6 0.8 1 RC filt ...

8.3. Pulse Shaping 485 Cd Ri Rd Ci Integrator CR−RC Shaper CR−RC Shaper Differentiator (a) In Out (b) Figure 8.3.6: (a) A simple ...

486 Chapter 8. Signal Processing Detailed discussion about transfer functions and their derivations is beyond the scope of this ...

8.3. Pulse Shaping 487 Elimination of such undershoots can be accomplished if the responsible pole is somehow removed from the f ...

488 Chapter 8. Signal Processing of circuit 8.3.8. Solution: Examination of transfer function 8.3.8 of circuit 8.3.8 reveals tha ...

8.3. Pulse Shaping 489 Stage−1 Stage−2 Figure 8.3.10: Step input response of a typical two-stage semi-Gaussian pulse shaper. Suc ...

490 Chapter 8. Signal Processing in succession, as shown in Fig.8.3.12, it results in an output pulse with approxi- mately linea ...

8.4. Filtering 491 Vin Vout (b) (a)Low Pass Filters High Pass Filters (b)Band Pass Filter Figure 8.4.1: (a) (b) Schematics of di ...

492 Chapter 8. Signal Processing Let us now substitutef=1/ 2 πRCin this relation. This gives 2log ( Vout Vin ) =− 3 dB. (8.4.3) ...

8.5. Amplification 493 8.4.B HighPassFilter The CR differentiator circuit shown in Fig.8.3.4(a) is a high pass filter. Its outpu ...

494 Chapter 8. Signal Processing Ci Cd Rd Ri Signal In Signal Out Signal In Signal Out (a) (b) Low Pass Filter High Pass Filter ...

8.6. Discrimination 495 Vin Vout Vh Vl Time Time Logic High Figure 8.6.1: Pulse discrimina- tion by a two-level discrimina- tor. ...