On the analytical model for jitter

Jitter in Internet Protocol (IP) networks refers to the variation in packet arrival times, which can cause delays or disruptions in real-time communications like voice or video calls. Managing jitter is crucial for applications requiring consistent data flow, such as voice over internet protocol, on...

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Main Authors: Saralees Nadarajah, Alassane Ba
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-07-01
Series:Frontiers in Communications and Networks
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Online Access:https://www.frontiersin.org/articles/10.3389/frcmn.2025.1602095/full
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author Saralees Nadarajah
Alassane Ba
author_facet Saralees Nadarajah
Alassane Ba
author_sort Saralees Nadarajah
collection DOAJ
description Jitter in Internet Protocol (IP) networks refers to the variation in packet arrival times, which can cause delays or disruptions in real-time communications like voice or video calls. Managing jitter is crucial for applications requiring consistent data flow, such as voice over internet protocol, online gaming, and video conferencing, to maintain quality and reliability. Dahmouni et al. derived an analytical model for jitter in an important paper cited by many authors. But some of the fundamental equations in Dahmouni et al. do not appear correct. We correct the equations and study some analytical properties of jitter. Among others, we show that jitter can be expressed as J=η+λ2+μ2η+λμη+μ+λ, where μ denotes the rate of service times, η denotes the rate of transit times and λ denotes the rate of inter-arrival times. We provide a Maple code to check correctness of our equations.
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spelling doaj-art-1dc68d6ebb254f4b855aa1061d332c462025-08-20T03:15:20ZengFrontiers Media S.A.Frontiers in Communications and Networks2673-530X2025-07-01610.3389/frcmn.2025.16020951602095On the analytical model for jitterSaralees Nadarajah0Alassane Ba1Department of Mathematics, University of Manchester, Manchester, United KingdomDepartment Mathematics and Computer, Cheikh Anta Diop University of Dakar, Dakar, SenegalJitter in Internet Protocol (IP) networks refers to the variation in packet arrival times, which can cause delays or disruptions in real-time communications like voice or video calls. Managing jitter is crucial for applications requiring consistent data flow, such as voice over internet protocol, online gaming, and video conferencing, to maintain quality and reliability. Dahmouni et al. derived an analytical model for jitter in an important paper cited by many authors. But some of the fundamental equations in Dahmouni et al. do not appear correct. We correct the equations and study some analytical properties of jitter. Among others, we show that jitter can be expressed as J=η+λ2+μ2η+λμη+μ+λ, where μ denotes the rate of service times, η denotes the rate of transit times and λ denotes the rate of inter-arrival times. We provide a Maple code to check correctness of our equations.https://www.frontiersin.org/articles/10.3389/frcmn.2025.1602095/fullintegrationmaplesingularityIPjitter
spellingShingle Saralees Nadarajah
Alassane Ba
On the analytical model for jitter
Frontiers in Communications and Networks
integration
maple
singularity
IP
jitter
title On the analytical model for jitter
title_full On the analytical model for jitter
title_fullStr On the analytical model for jitter
title_full_unstemmed On the analytical model for jitter
title_short On the analytical model for jitter
title_sort on the analytical model for jitter
topic integration
maple
singularity
IP
jitter
url https://www.frontiersin.org/articles/10.3389/frcmn.2025.1602095/full
work_keys_str_mv AT saraleesnadarajah ontheanalyticalmodelforjitter
AT alassaneba ontheanalyticalmodelforjitter