This is a preprint, a preliminary version of a manuscript that has not completed peer review at a journal. Research Square does not conduct peer review prior to posting preprints. The posting of a preprint on this server should not be interpreted as an endorsement of its validity or suitability for dissemination as established information or for guiding clinical practice.
Research
New Accurate Approximation for Average Symbol Error Probability Under κ-μ Shadowed Fading Channel
Faissal El Bouanani
Mohammed V University
Corresponding Author
ORCiD: https://orcid.org/0000-0001-8141-6793
License:
This work is licensed under a CC BY 4.0 License. Read Full License
This paper proposes new accurate approximations for average symbol error probability (ASEP) of a communication system employing either M-phase-shift keying (PSK) or differential quaternary PSK (DQPSK) modulation schemes, with Gray coding over κ-μ shadowed fading channel. Firstly, new accurate approximations of symbol error probability (SEP) of both modulation schemes are derived over additive white Gaussian noise (AWGN) channel. Leveraging the trapezoidal integral method, a tight SEP's approximation for M-PSK modulation is presented, while new upper and lower bounds for Marcum $Q$-function of the first order (MQF), and subsequently those for SEP under DQPSK scheme, are proposed. Next, these bounds are linearly combined to propose a highly accurate SEP's approximation. The key idea manifested in the decrease property of modified Bessel function $I_{v}$, strongly related with MQF, with its argument v. Finally, theses approximations are used to tackle ASEP's approximation under $\kappa-\mu$ shadowed fading. Numerical results show the accuracy of the presented approximations compared to the exact ones.
Keywords
DQPSK modulation, M-PSK modulation, Marcum Q-function, SEP, Upper bound, κ - µ shadowed fading.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Due to technical limitations, full-text HTML conversion of this manuscript could not be completed. However, the manuscript can be downloaded and accessed as a PDF.
Badges
Prescreen
This manuscript passed our Prescreen assessment
Complete author information
Appropriate declaration statements
Potential risks to human health
Prescreen
History
CURRENT STATUS: Posted
Version 1
Posted 11 May, 2020
No community comments so far
Metrics
Comments: 0
PDF Downloads: ...
HTML Views: ...
Subject Areas
Technical Communication
Learn more about our company.
This is a preprint. It has not completed peer review.
Research
New Accurate Approximation for Average Symbol Error Probability Under κ-μ Shadowed Fading Channel
Faissal El Bouanani
Mohammed V University
Corresponding Author
ORCiD: https://orcid.org/0000-0001-8141-6793
Badges
Prescreen
This manuscript passed our Prescreen assessment
Complete author information
Appropriate declaration statements
Potential risks to human health
Prescreen
History
CURRENT STATUS: Posted
Version 1
Posted 11 May, 2020
No community comments so far
Metrics
Comments: 0
PDF Downloads: ...
HTML Views: ...
Subject Areas
Technical Communication
License:
This work is licensed under a CC BY 4.0 License. Read Full License
This paper proposes new accurate approximations for average symbol error probability (ASEP) of a communication system employing either M-phase-shift keying (PSK) or differential quaternary PSK (DQPSK) modulation schemes, with Gray coding over κ-μ shadowed fading channel. Firstly, new accurate approximations of symbol error probability (SEP) of both modulation schemes are derived over additive white Gaussian noise (AWGN) channel. Leveraging the trapezoidal integral method, a tight SEP's approximation for M-PSK modulation is presented, while new upper and lower bounds for Marcum $Q$-function of the first order (MQF), and subsequently those for SEP under DQPSK scheme, are proposed. Next, these bounds are linearly combined to propose a highly accurate SEP's approximation. The key idea manifested in the decrease property of modified Bessel function $I_{v}$, strongly related with MQF, with its argument v. Finally, theses approximations are used to tackle ASEP's approximation under $\kappa-\mu$ shadowed fading. Numerical results show the accuracy of the presented approximations compared to the exact ones.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Due to technical limitations, full-text HTML conversion of this manuscript could not be completed. However, the manuscript can be downloaded and accessed as a PDF.