Arvind Kumar, Nikumani Choudhury, Jayendra N. Bandyopadhyay, S. M. Zafaruddin
{"title":"Meijer-G Function with Continued Product and Integer Exponent: Performance of Multi-Aperture UOWC System over EGG Turbulence","authors":"Arvind Kumar, Nikumani Choudhury, Jayendra N. Bandyopadhyay, S. M. Zafaruddin","doi":"arxiv-2409.11337","DOIUrl":null,"url":null,"abstract":"Signal transmission over underwater optical wireless communication (UOWC)\nexperiences the combined effect of oceanic turbulence and pointing errors\nstatistically modeled using the sum of two Meijer-G functions. There is a\nresearch gap in the exact statistical analysis of multi-aperture UOWC systems\nthat use selection combining diversity techniques to enhance performance\ncompared to single-aperture systems. In this paper, we develop a general\nframework for the continued product and positive integer exponent for the sum\nof Meijer-G functions to analyze the exact statistical performance of the UOWC\nsystem in terms of multivariate Fox-H function for both independent and\nnon-identically distributed (i.ni.d.) and independent and identically\ndistributed (i.i.d.) channels. We also approximate the performance of a\nmulti-aperture UOWC system with i.i.d. channels using the single-variate Fox-H\nfunction. Using the generalized approach, we present analytical expressions for\naverage bit-error rate (BER) and ergodic capacity for the considered system\noperating over exponential generalized gamma (EGG) oceanic turbulence combined\nwith zero-boresight pointing errors. We also develop asymptotic expressions for\nthe average BER at a high signal-to-noise (SNR) to capture insights into the\nsystem's performance. Our simulation findings confirm the accuracy of our\nderived expressions and illustrate the impact of turbulence parameters for\ni.ni.d. and i.i.d. models for the average BER and ergodic capacity, which may\nprovide a better estimate for the efficient deployment of UOWC.","PeriodicalId":501034,"journal":{"name":"arXiv - EE - Signal Processing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - EE - Signal Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11337","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Signal transmission over underwater optical wireless communication (UOWC)
experiences the combined effect of oceanic turbulence and pointing errors
statistically modeled using the sum of two Meijer-G functions. There is a
research gap in the exact statistical analysis of multi-aperture UOWC systems
that use selection combining diversity techniques to enhance performance
compared to single-aperture systems. In this paper, we develop a general
framework for the continued product and positive integer exponent for the sum
of Meijer-G functions to analyze the exact statistical performance of the UOWC
system in terms of multivariate Fox-H function for both independent and
non-identically distributed (i.ni.d.) and independent and identically
distributed (i.i.d.) channels. We also approximate the performance of a
multi-aperture UOWC system with i.i.d. channels using the single-variate Fox-H
function. Using the generalized approach, we present analytical expressions for
average bit-error rate (BER) and ergodic capacity for the considered system
operating over exponential generalized gamma (EGG) oceanic turbulence combined
with zero-boresight pointing errors. We also develop asymptotic expressions for
the average BER at a high signal-to-noise (SNR) to capture insights into the
system's performance. Our simulation findings confirm the accuracy of our
derived expressions and illustrate the impact of turbulence parameters for
i.ni.d. and i.i.d. models for the average BER and ergodic capacity, which may
provide a better estimate for the efficient deployment of UOWC.