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.

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.

Selective Spanning With Fast Enumeration Algorithm for MIMO

2017 ◽  
Vol 6 (10) ◽  
pp. 79
Author(s):  
Sruthy L ◽  
L Bharathi ◽  
P Malini
Keyword(s):  
Bit Error Rate ◽  
Error Rate ◽  
Mimo System ◽  
Additive White Gaussian Noise ◽  
Multiple Input Multiple Output ◽  
Symbol Error Rate ◽  
Enumeration Algorithm ◽  
High Data ◽  
Input Multiple Output ◽  
Output System

Multiple input multiple output system have been emerged technology to increase channel capacity and a technical breakthrough for high data rate wireless transmission. The main objective of MIMO system is to obtain low Symbol Error Rate (SER) and acceptable computational complexity. The MIMO system cannot be implemented due to complexity problem. The complexity of MIMO system can be reduced by using different detector algorithms. In this paper, the performance of MIMO system over AWGN (Additive White Gaussian Noise) with ZF, MMSE, SD, K best algorithm and SSFE are analyzed using different antenna configuration. The Bit Error Rate performance of all detectors are studied for 16QAM modulation technique using AWGN channel for the analysis purpose and their effect on BER (Bit Error Rate) have been presented.

Closed-Form Exact and Asymptotic Expressions for the Symbol Error Rate and Capacity of the -Function Fading Channel

2016 ◽  
Vol 65 (4) ◽  
pp. 1957-1974 ◽  
Author(s):  
Husam R. Alhennawi ◽  
Moataz M. H. El Ayadi ◽  
Mahmoud H. Ismail ◽  
Hebat-Allah M. Mourad
Keyword(s):  
Closed Form ◽  
Error Rate ◽  
Fading Channel ◽  
Symbol Error Rate ◽  
Asymptotic Expressions
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