DocumentCode :
928012
Title :
Advent of nonregularity in photon-pulse delay estimation (Corresp.)
Author :
Bar-David, Israel ; Levy, Moshe
Volume :
24
Issue :
1
fYear :
1978
fDate :
1/1/1978 12:00:00 AM
Firstpage :
122
Lastpage :
124
Abstract :
The mean-square error of the delay estimate of a photon pulse is known to decrease as 
if the pulse envelope is smooth, but as 
if it has sharp edges, thereby belonging to "nonregular" estimation cases ( 
denotes the expected photon count). The transition from the to the law is investigated for trapezoidal pulse models, and is found to occur in the region where the standard deviation of the error is on the order of the width of the pulse slopes. Thus for values of below this region, practical pulses are effectively rectangular, and their estimation problem may be qualified as "nonregular."
if the pulse envelope is smooth, but as if it has sharp edges, thereby belonging to "nonregular" estimation cases ( denotes the expected photon count). The transition from the to the law is investigated for trapezoidal pulse models, and is found to occur in the region where the standard deviation of the error is on the order of the width of the pulse slopes. Thus for values of below this region, practical pulses are effectively rectangular, and their estimation problem may be qualified as "nonregular."Keywords :
Delay estimation; Optical pulses; Optical signal estimation; Delay estimation; Entropy; Frequency; Gaussian distribution; Physics; Probability; Rate distortion theory; Statistical distributions; Upper bound;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1978.1055833
Filename :
1055833
Link To Document :
