Process model and probabilitydensity function for stochastic pulse sequences
Abstract
Pulselike noise signals are very often superimposed on digital signals. The probabilitydensity function must be known for a calculation of the probability of errors produced by the noise signals. In the considered investigation a general model is provided for describing the disturbance, and the probabilitydensity function of the resulting signal of the disturbance model is calculated. The derived computational procedure is employed in the case of a simple noise waveform and the obtained results are examined. The extent and the complexity of the computational procedure depends on the number of the superimposed elementary pulses. The computational effort required in the case of the superposition of a great number of elementary pulses in a single time interval can be very great. It is recommended to make use, in this case, of a simulation of partial probability densities. The results obtained in the investigation can be directly employed in the study of digital circuits.
 Publication:

Archiv Elektronik und Uebertragungstechnik
 Pub Date:
 August 1981
 Bibcode:
 1981ArElU..35..275A
 Keywords:

 Digital Data;
 Electromagnetic Noise;
 Probability Density Functions;
 Pulse Communication;
 Stochastic Processes;
 Mathematical Models;
 Signal Distortion;
 Waveforms;
 Communications and Radar