scholarly journals Average Vector-Symbol Error Rate Closed-Form Expression for ML Group Detection Receivers in Large MU-MIMO Channels With Transmit Correlation

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 45653-45663
Author(s):  
Byron P. Maza ◽  
Ghassan Dahman ◽  
Georges Kaddoum ◽  
Francois Gagnon
Keyword(s):  
Closed Form ◽  
Error Rate ◽  
Symbol Error Rate ◽  
Closed Form Expression ◽  
Form Expression ◽  
Mimo Channels ◽  
Group Detection

scholarly journals Symbol Error Rate for Nonblind Adaptive Equalizers Applicable for the SIMO and FGn Case

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Monika Pinchas
Keyword(s):  
Closed Form ◽  
Error Rate ◽  
Hurst Exponent ◽  
Symbol Error Rate ◽  
Closed Form Expression ◽  
Form Expression ◽  
Single Input Single Output ◽  
Single Output ◽  
Adaptive Equalizers ◽  
Single Input

A nonzero residual intersymbol interference (ISI) causes the symbol error rate (SER) to increase where the achievable SER may not answer any more on the system’s requirements. Recently, a closed-form approximated expression was derived by the same author for the residual ISI obtained by nonblind adaptive equalizers for the single-input single-output (SISO) case. Up to now, there does not exist a closed-form expression for the residual ISI obtained by nonblind adaptive equalizers for the single-input multiple-output (SIMO) case. Furthermore, there does not exist a closed-form expression for the SER valid for the SISO or SIMO case that takes into account the residual ISI obtained by nonblind adaptive equalizers and is valid for fractional Gaussian noise (fGn) input where the Hurst exponent is in the region of0.5≤H<1. In this paper, we derive a closed-form approximated expression for the residual ISI obtained by nonblind adaptive equalizers for the SIMO case (where SISO is a special case of SIMO), valid for fGn input where the Hurst exponent is in the region of0.5≤H<1. Based on this new expression for the residual ISI, a closed-form approximated expression is obtained for the SER valid for the SIMO and fGn case.

scholarly journals MGF-based Analysis of Maximum Ratio Combining Receiver over Fisher-Snedecor Composite Fading Channel

2019 ◽  
Vol 8 (9S) ◽  
pp. 1-9
Keyword(s):  
Closed Form ◽  
Error Rate ◽  
Fading Channel ◽  
Symbol Error Rate ◽  
Closed Form Expression ◽  
Small Scale ◽  
Fixed Rate ◽  
Maximum Ratio Combining ◽  
Composite Fading ◽  
Composite Fading Channel

Fisher Snedecor composite fading model is the combination of Nakagami-m and inverse Nakagami-m distribution. The Nakagami-m is used to characterize the small scale fading, whereas shadowing is modeled by inverse Nakagami-m distribution. In this paper, the closed-form expression for moment generating function (MGF) of instantaneous signal to noise ratio (SNR) over independent identically distributed (i.i.d) Fisher-Snedecor composite fading channel using maximum ratio combining (MRC) diversity technique is derived. By using newly derived MGF expression, we derive the closed-form expressions of average bit error rate (ABER) or average symbol error rate (ASER) for different binary and multilevel modulation schemes. The expressions for average channel capacity (ACC) under two adaptive transmission protocols like optimum rate adaption (ORA) and channel inversion with fixed rate (CIFR) are also derived using proposed MGF. Further, the numerical results of newly derived expression are presented and compared with the results of Rayleigh and Nakagami-m distribution which is the special case of Fisher Snedecor composite fading model.

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