TY - JOUR
T1 - Gaussian approximations for the probability mass function of the access delay for different backoff policies in S-ALOHA
AU - Rivero-Angeles, Mario E.
AU - Lara-Rodriguez, Domingo
AU - Cruz-Perez, Felipe A.
PY - 2006/10
Y1 - 2006/10
N2 - In this Letter, closed-form non-recursive expressions for the probability mass function (pmf) of the access delay are addressed. As the exact non-recursive expression for the pmf of the access delay are typically complex and have high computational requirements, Gaussian approximations are derived for the uniform, binary exponential, and geometric backoff policies. Our approximations have a mean square error in the order of 10-7 compared to the exact recursive equations found in the literature.
AB - In this Letter, closed-form non-recursive expressions for the probability mass function (pmf) of the access delay are addressed. As the exact non-recursive expression for the pmf of the access delay are typically complex and have high computational requirements, Gaussian approximations are derived for the uniform, binary exponential, and geometric backoff policies. Our approximations have a mean square error in the order of 10-7 compared to the exact recursive equations found in the literature.
KW - Binary exponential backoff
KW - Delay probability mass function
KW - Geometric backoff
KW - Uniform backoff
UR - http://www.scopus.com/inward/record.url?scp=33750071979&partnerID=8YFLogxK
U2 - 10.1109/LCOMM.2006.060657
DO - 10.1109/LCOMM.2006.060657
M3 - Artículo
SN - 1089-7798
VL - 10
SP - 731
EP - 733
JO - IEEE Communications Letters
JF - IEEE Communications Letters
IS - 10
ER -