Title :
The Uncertainty of Pulse Position Due to Noise
Author :
Torrieri, Don J.
Author_Institution :
Naval Research Laboratory Washington, D.C. 20390
Abstract :
The time at which a received signal crosses a certain level fluctuates in the presence of noise. In this paper, a theoretical formula for the standard deviation of this thresholding time is obtained. The formula is applied to the detection of a pulse perturbed by Gaussian noise. Two practical detection schemes, the peak amplitude estimator and the double differentiator, are theoretically analyzed and compared. Also, a formula is derived which may be used to determine the efficacy of a false-alarm detection system.
Keywords :
Baseband; Demodulation; Detectors; Filters; Gaussian noise; Linear systems; Noise level; Noise shaping; Probability density function; Uncertainty;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
DOI :
10.1109/TAES.1972.309582
