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On the PDF of the Sum of Random Vectors , Homayoun Hashemi2
 

Summary: 1/14
On the PDF of the Sum of Random Vectors
Ali Abdi1
, Homayoun Hashemi2
, and Said Nader-Esfahani3
1
Ali Abdi was with the Department of Electrical and Computer Engineering, University of Tehran,
Tehran, Iran. Now he is with the Department of Electrical and Computer Engineering, University of
Minnesota, Minneapolis, MN 55455, USA. Email: abdi@ece.umn.edu
2
Homayoun Hashemi is with the Department of Electrical Engineering, Sharif University of Technology,
Tehran, Iran. Email: hashemi@vax.ipm.ac.ir
3
Said Nader-Esfahani is with the Department of Electrical and Computer Engineering, University of
Tehran, Tehran, Iran. Email: nader@chamran.ut.ac.ir
Abstract -- There are various cases in physics and engineering sciences (specially
communications) where one requires the envelope PDF of the sum of several random sinusoidal
signals. According to the correspondence between a random sinusoidal signal and a random vector,
sum of random vectors can be considered as an abstract mathematical model for the above sum.
Now it is desired to obtain the PDF of the length of the resulting vector. Considering the common

  

Source: Abdi, Ali - Department of Electrical and Computer Engineering, New Jersey Institute of Technology

 

Collections: Engineering