DocumentCode :
1239299
Title :
Evaluation of the Q Function
Author :
Shnidman, David A.
Author_Institution :
Massachusetts Institute of Technology,Lexington,Mass
Volume :
22
Issue :
3
fYear :
1974
fDate :
3/1/1974 12:00:00 AM
Firstpage :
342
Lastpage :
346
Abstract :
A convenient method of evaluating the 
function over the parameter space quarter plane is presented. The function is first expressed as an infinite series. The 
term truncated series 
is used to approximate 
for 
where the choice of depends on the accuracy desired and 
is determined by considerations such as computer bit capacity, computational time, and accuracy. For 
, alternate expressions are used. When 
, we approximate by 0, and when 
, we approximate by 1. The accuracy is dependent on the choice of the constant 
. In the reniainder of the quarter plane, and 
, and an efficient expression is used, but it is of limited accuracy (from 10-5to 10-9) near the line 
.
function over the parameter space quarter plane is presented. The function is first expressed as an infinite series. The term truncated series is used to approximate for where the choice of depends on the accuracy desired and is determined by considerations such as computer bit capacity, computational time, and accuracy. For , alternate expressions are used. When , we approximate by 0, and when , we approximate by 1. The accuracy is dependent on the choice of the constant . In the reniainder of the quarter plane, and , and an efficient expression is used, but it is of limited accuracy (from 10-5to 10-9) near the line .Keywords :
DPSK signal detection; Digital signal detection; FSK signal detection; PAM signal detection; Q function; Contracts; Convergence; Equations; Jacobian matrices; Parameter estimation; Testing;
fLanguage :
English
Journal_Title :
Communications, IEEE Transactions on
Publisher :
ieee
ISSN :
0090-6778
Type :
jour
DOI :
10.1109/TCOM.1974.1092184
Filename :
1092184
Link To Document :
