Data proliferation based estimations over distribution factor in heterogeneous wireless sensor networks

Abstract In this paper, a new representation for the chi-squared distribution has been derived over wireless sensor networks (WSN). The underlying correlated data proliferation protocols have strong influence on performance of the deployed system. A proposed model has been deployed to investigate the WSN system over the data proliferation aspect. Initially, the degree of freedom (DOF) factor has been evaluated with respect to scalability issue in the proposal. Further, the factors affecting the outcome of the WSN system assessing data proliferation have been investigated. Moreover, sensor node operations namely: sense count, transmit count and receive redundant count have also been evaluated. Finally, extensive simulation analysis has been carried out to prove the validity of the proposed innovative scheme. However, it has also been investigated that chi-distribution for wireless sensor networks seems intractable with the degree of freedom, when varied with a specific number of nodes.

[1]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[2]  Daniel Benevides da Costa,et al.  Two Birds with One Stone: Exploiting Direct Links for Multiuser Two-Way Relaying Systems , 2012, IEEE Transactions on Wireless Communications.

[3]  T. Royen,et al.  Expansions for the multivariate chi-square distribution , 1991 .

[4]  P. Patnaik.  The Non-central X^2- and F- distribution and Their Applications , 1949 .

[5]  Mohamed-Slim Alouini,et al.  On the difference of two chi-square variates with application to outage probability computation , 2001, IEEE Trans. Commun..

[6]  Deborah Estrin,et al.  Proceedings of the 5th Symposium on Operating Systems Design and Implementation Fine-grained Network Time Synchronization Using Reference Broadcasts , 2022 .

[7]  Surinder Singh,et al.  Sensors Augmentation Influence Over Trust and Reputation Models Realization for Dense Wireless Sensor Networks , 2015, IEEE Sensors Journal.

[8]  Surinder Singh,et al.  Comprehensive event based estimation of sensor node distribution strategies using classical flooding routing protocol in wireless sensor networks , 2014, Wirel. Networks.

[9]  Leon Steinberg,et al.  A Note on the Bivariate Chi Distribution , 1963 .

[10]  R. M. A. P. Rajatheva,et al.  Infinite Series Representations of the Trivariate and Quadrivariate Nakagami-m distributions , 2007, 2007 IEEE International Conference on Communications.

[11]  Alfred O. Hero,et al.  Relative location estimation in wireless sensor networks , 2003, IEEE Trans. Signal Process..

[12]  Mohammad J. Nadjafi-Arani,et al.  Itinerary planning for mobile sinks in network-coding-based wireless sensor networks , 2017, Comput. Commun..

[13]  Ness B. Shroff,et al.  Delay Analysis for Multi-Hop Wireless Networks , 2009, IEEE INFOCOM 2009.

[14]  Anirudha Sahoo,et al.  TREEFP: A TDMA-based Reliable and Energy Efficient Flooding Protocol for WSNs , 2011, 2011 IEEE International Symposium on a World of Wireless, Mobile and Multimedia Networks.

[15]  N. L. Johnson,et al.  Continuous Univariate Distributions. , 1995 .

[16]  Md. Mustafizur Rahman,et al.  α-Overlapping area coverage for clustered directional sensor networks , 2017, Comput. Commun..

[17]  K. Miller,et al.  Properties of Generalized Rayleigh Distributions , 1963 .

[18]  Haitham S. Hamza,et al.  Coverage in mobile wireless sensor networks (M-WSN): A survey , 2017, Comput. Commun..

[19]  Vinod Kumar Verma.  Pheromone and Path Length Factor-Based Trustworthiness Estimations in Heterogeneous Wireless Sensor Networks , 2017, IEEE Sensors Journal.

[20]  Mehdi Dehghan,et al.  A generalized quorum system for asynchronous sleep scheduling in multi-hop wireless networks , 2017, Comput. Commun..

[21]  Pravin Varaiya,et al.  Performance Analysis of Slotted Carrier Sense IEEE 802.15.4 Acknowledged Uplink Transmissions , 2008, 2008 IEEE Wireless Communications and Networking Conference.

[22]  Tarek F. Abdelzaher,et al.  On real-time capacity limits of multihop wireless sensor networks , 2004, 25th IEEE International Real-Time Systems Symposium.

[23]  Bo Hu,et al.  Time Division Flooding Synchronization Protocol for Sensor Networks , 2007, 2007 Fourth Annual International Conference on Mobile and Ubiquitous Systems: Networking & Services (MobiQuitous).

[24]  Antonella Molinaro,et al.  A novel hybrid forwarding strategy for content delivery in wireless information-centric networks , 2017, Comput. Commun..

[25]  Robert W. Heath,et al.  Transmit selection in spatial multiplexing systems , 2002, IEEE Communications Letters.

[26]  Kay Römer,et al.  The design space of wireless sensor networks , 2004, IEEE Wireless Communications.

[27]  Gabriel Martins Dias,et al.  The impact of dual prediction schemes on the reduction of the number of transmissions in sensor networks , 2015, Comput. Commun..

[28]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[29]  Markos V. Koutras,et al.  On the generalized noncentral chi-squared distribution induced by an elliptical gamma law , 1986 .

[30]  Surinder Singh,et al.  Analytical Event Based Investigations Over Delphi Random Generator Distributions for Data Dissemination Routing Protocols in Highly Dense Wireless Sensor Network , 2016, Wirel. Pers. Commun..

[31]  Ian F. Akyildiz,et al.  Wireless sensor networks: a survey , 2002, Comput. Networks.

[32]  Gyula Simon,et al.  The flooding time synchronization protocol , 2004, SenSys '04.

[33]  Moti L. Tiku,et al.  Laguerre series forms of non-central X2 and F distributions , 1965 .

[34]  John P. Lehoczky,et al.  Real-time queueing network theory , 1997, Proceedings Real-Time Systems Symposium.

[35]  E. J. Powers,et al.  Testing for Gaussianity in nonlinear system identification , 1990, IEEE International Symposium on Circuits and Systems.

[36]  Rene L. Cruz,et al.  A calculus for network delay, Part I: Network elements in isolation , 1991, IEEE Trans. Inf. Theory.

[37]  P. Patnaik.  THE NON-CENTRAL χ2- AND F-DISTRIBUTIONS AND THEIR APPLICATIONS , 1949 .

[38]  S. Sitharama Iyengar,et al.  Robustness Analysis of Source Localization Using Gaussianity Measure , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.

[39]  Aduwati Sali,et al.  Detecting sybil attacks in clustered wireless sensor networks based on energy trust system (ETS) , 2017, Comput. Commun..

[40]  Saurabh Ganeriwal,et al.  Timing-sync protocol for sensor networks , 2003, SenSys '03.

[41]  Javier Gozálvez,et al.  Neighbor discovery for industrial wireless sensor networks with mobile nodes , 2017, Comput. Commun..

[42]  Sayyed Majid Mazinani,et al.  Adaptive MCFL: An adaptive multi-clustering algorithm using fuzzy logic in wireless sensor network , 2017, Comput. Commun..

[43]  Aloor Gopakumar,et al.  Localization in wireless sensor networks using particle swarm optimization , 2008 .

[44]  Branka Vucetic,et al.  Space-Time Coding , 2003 .

[45]  H. O. Posten.  Multidimensional Gaussian Distributions , 1964 .

[46]  Alhussein A. Abouzeid,et al.  Queuing network models for delay analysis of multihop wireless ad hoc networks , 2009, Ad Hoc Networks.

[47]  J. Mohorko,et al.  A new goodness of fit test for histograms regarding network traffic packet size process , 2008, 2008 International Conference on Advanced Technologies for Communications.

[48]  P. K. Basu,et al.  Incoherent in-band crosstalk induced power penalty in amplified WDM networks: a comparative study using Gaussian and chi-squared probability density functions , 2008, IET Circuits Devices Syst..

[49]  Khaled H. Biyari,et al.  Statistical distributions of Hermitian quadratic forms in complex Gaussian variables , 1993, IEEE Trans. Inf. Theory.

[50]  Markos V. Koutras,et al.  Quadratic forms in spherical random variables: Generalized noncentral x2 distribution , 1984 .

[51]  Fabien Millioz,et al.  On the Description of Spectrogram Probabilities With a Chi-Squared Law , 2008, IEEE Transactions on Signal Processing.

[52]  Steve Goddard,et al.  Cross-Layer Analysis of the End-to-End Delay Distribution in Wireless Sensor Networks , 2009, 2009 30th IEEE Real-Time Systems Symposium.

[53]  Shu-Ngai Yeung,et al.  End-to-end delay analysis for real-time networks , 2001, Proceedings 22nd IEEE Real-Time Systems Symposium (RTSS 2001) (Cat. No.01PR1420).

[54]  Hai Le Vu,et al.  MAC Access Delay of IEEE 802.11 DCF , 2007, IEEE Transactions on Wireless Communications.

[55]  Aiko Pras,et al.  Gaussian traffic everywhere? , 2006, 2006 IEEE International Conference on Communications.

[56]  B. Sikdar,et al.  Modeling Queueing and Channel Access Delay in Unsaturated IEEE 802.11 Random Access MAC Based Wireless Networks , 2008, IEEE/ACM Transactions on Networking.

[57]  D. Kocur,et al.  Object localization using round trip propagation time measurements , 2008, 2008 18th International Conference Radioelektronika.

[58]  D. R. Jensen.  The Joint Distribution of Traces of Wishart Matrices and Some Applications , 1970 .

[59]  Yu-Chee Tseng,et al.  The Broadcast Storm Problem in a Mobile Ad Hoc Network , 1999, Wirel. Networks.

[60]  R. Michael Buehrer,et al.  A linear programming approach to NLOS error mitigation in sensor networks , 2006, 2006 5th International Conference on Information Processing in Sensor Networks.

[61]  Xi Zhou,et al.  On Improving the Precision of Localization with Gross Error Removal , 2008, 2008 The 28th International Conference on Distributed Computing Systems Workshops.

[62]  Ian F. Akyildiz,et al.  A survey on wireless multimedia sensor networks , 2007, Comput. Networks.

[63]  R. M. A. P. Rajatheva,et al.  New series representation for the trivariate non-central chi-squared distribution , 2009, IEEE Transactions on Communications.