Abstract
In this paper, capitalizing on Mils ratio for Q-function approximation, we have presented novel improved composite Q-function approximation. Based on our improved approximation, we have further presented tight approximation for the average symbol error probability (ASEP) expressions of digital modulations over Nakagami-m fading channels. First, comparison to other known Q-function closed-form approximations has been performed, and it has been shown that accuracy improvement has been achieved in the observed range of values. Further, it has been shown that by using proposed approximation, values of average symbol error probability (ASEP) for some applied modulation formats could be efficiently and accurately evaluated when transmission over Nakagami-m fading channels is observed. Also, it has been shown in the paper that by using proposed approximation, observed ASEP measures are bounded more closely, than by using other known Q-function closed-form approximations.DOI: http://dx.doi.org/10.5755/j01.eie.23.3.18338
Highlights
Rapid development of various wireless communication system services, has resulted in constant need for providing mathematical models of wireless transmission phenomenons
1Abstract—In this paper, capitalizing on Mils ratio for Qfunction approximation, we have presented novel improved composite Q-function approximation
Based on our improved approximation, we have further presented tight approximation for the average symbol error probability (ASEP) expressions of digital modulations over Nakagami-m fading channels
Summary
Rapid development of various wireless communication system services, has resulted in constant need for providing mathematical models of wireless transmission phenomenons. In order to analytically evaluate ASEP for applied modulation format, expression for conditional SEP (conditioned over fading statistics which impairs the communication) should be averaged over the probability density function (PDF) of the fading channel amplitude. In many such cases the averaging integral includes either the Gaussian Q-function, either directly related functions: error function, erf (x), and/or complementary error function erfc (x). It has been shown that by using proposed approximation, ASEP values for BPSK and DE-QPSK applied modulation schemes could be efficiently and accurately evaluated when transmission over Nakagami-m fading channels is observed
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