Derivation of the point spread function for zero-crossing-demodulated position-sensitive detectors
This work is a mathematical derivation of a high-quality approximation to the point spread function for position-sensitive detectors (PSDs) that use pulse-shape modulation and crossover-time demodulation. The approximation is determined as a general function of the input signals to the crossover detectors so as to enable later determination of optimum position-decoding filters for PSDs. This work is precisely applicable to PSDs that use either RC or LC transmission line encoders. The effects of random variables, such as charge collection time, in the encoding process are included. In addition, this work presents a new, rigorous method for the determination of upper and lower bounds for conditional crossover-time distribution functions (closely related to first-passage-time distribution functions) for arbitrary signals and arbitrary noise covariance functions.
- Research Organization:
- Oak Ridge National Lab., Tenn. (USA)
- DOE Contract Number:
- W-7405-ENG-26
- OSTI ID:
- 7347717
- Report Number(s):
- ORNL-5081
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
440101* -- Radiation Instrumentation-- General Detectors or Monitors & Radiometric Instruments
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY
ELECTRONIC CIRCUITS
FILTERS
MATHEMATICAL MODELS
MEASURING INSTRUMENTS
ONE-DIMENSIONAL CALCULATIONS
POSITION SENSITIVE DETECTORS
PULSE CIRCUITS
PULSE SHAPERS
RADIATION DETECTORS
RESOLUTION
SPATIAL RESOLUTION
TWO-DIMENSIONAL CALCULATIONS
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY
ELECTRONIC CIRCUITS
FILTERS
MATHEMATICAL MODELS
MEASURING INSTRUMENTS
ONE-DIMENSIONAL CALCULATIONS
POSITION SENSITIVE DETECTORS
PULSE CIRCUITS
PULSE SHAPERS
RADIATION DETECTORS
RESOLUTION
SPATIAL RESOLUTION
TWO-DIMENSIONAL CALCULATIONS