Closed-Form Symbol Error Rate Expressions for Non-Orthogonal Multiple Access Systems

2019 ◽  
Vol 68 (7) ◽  
pp. 6775-6789 ◽  
Author(s):  
Qinwei He ◽  
Yulin Hu ◽  
Anke Schmeink
Keyword(s):  
Closed Form ◽  
Error Rate ◽  
Multiple Access ◽  
Symbol Error Rate

Symbol error rate analysis of non-orthogonal multiple access systems

2021 ◽  
Vol 46 ◽  
pp. 101295
Author(s):  
Ali Mohammed A. Alkhazzar ◽  
Hassan Aghaeinia
Keyword(s):  
Error Rate ◽  
Multiple Access ◽  
Symbol Error Rate ◽  
Rate Analysis

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 Optimized SCMA Codebook Design Using Rotation Based Sub-Divided Constellation for Overloaded System

2021 ◽  
Author(s):  
Madhura K ◽  
M.S.S. Rukmini ◽  
Rajeshree Raut
Keyword(s):  
Wireless Communication ◽  
Multiuser Detection ◽  
Error Rate ◽  
Multiple Access ◽  
Symbol Error Rate ◽  
Sparse Code ◽  
System Model ◽  
Codebook Design

Abstract 5G in wireless communication aims at deploying massive connectivity. Sparse Code Multiple Access (SCMA), proves to be an emerging candidate with multidimensional codebooks proposing, high shaping gain and advanced multiuser detection. A framework for designing a codebook for 200 % overloaded SCMA system with system model is presented in this paper. This article aims at delineating a codebook by subdividing the Mother Constellation (MC) and rotating it to achieve a better Symbol Error Rate (SER) performance over higher values of SNR. Different Codebook designs are taken into consideration for comparing with the sub-constellation based 200% overloaded SCMA. Abstract — 5G in wireless communication aims at deploying massive connectivity. Sparse Code Multiple Access (SCMA), proves to be an emerging candidate with multidimensional codebooks proposing, high shaping gain and advanced multiuser detection. A framework for designing a codebook for 200 % overloaded SCMA system with system model is presented in this paper. This article aims at delineating a codebook by subdividing the Mother Constellation (MC) and rotating it to achieve a better Symbol Error Rate (SER) performance over higher values of SNR. Different Codebook designs are taken into consideration for comparing with the sub-constellation based 200% overloaded SCMA.

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.

scholarly journals A Systematic Approach for Calculating the Symbol Error Rate for the Entire Range of above and below the Threshold Point for the CE-OFDM System

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Monika Pinchas ◽  
Yosef Pinhasi
Keyword(s):  
Closed Form ◽  
Error Rate ◽  
Entire Range ◽  
Systematic Approach ◽  
Additive White Gaussian Noise ◽  
Density Ratio ◽  
Symbol Error Rate ◽  
Constant Envelope ◽  
High Carrier ◽  
Threshold Point

Recently, the performance of the constant envelope OFDM (CE-OFDM) was analyzed in additive white Gaussian noise (AWGN) with the help of a closed-form approximated expression for the symbol error rate (SER). This expression was obtained with the assumption of having a high carrier-to-noise ratio (CNR) which, in effect, linearized the phase demodulator (the phase demodulator was implemented with an arctangent calculator) and simplified the analysis. Thus, this expression is not accurate for the lower range of CNR. As a matter of fact, it was already observed that there is a threshold point from which the simulated SER result vanishes from the theoretically obtained expression. In this paper, we present a systematic approach for calculating the SER without assuming having the high CNR case or using linearization techniques. In other words, we derive the SER for the nonlinear case. As a byproduct, we obtain a new closed-form approximated expression for the SER based on the Laplace integral method and the Edgeworth expansion. Simulation results indicate that the simulated results and those obtained from the new derived expression are very close for the entire range of bit energy-to-noise density ratio () above and below the threshold point.

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