scholarly journals Average Error Probability of an Optically Pre-Amplified Pulse-Position Modulation Multichannel Receiver under Malaga-ℳ Fading

2020 ◽  
Vol 10 (3) ◽  
pp. 1141 ◽  
Author(s):  
Konstantinos Yiannopoulos ◽  
Nikos C. Sagias ◽  
Anthony C. Boucouvalas
Keyword(s):  
Average Error ◽  
Pulse Position Modulation ◽  
Drastic Reduction ◽  
Probability Of Error ◽  
Optical Amplification ◽  
Efficient Calculation ◽  
Average Probability ◽  
Finite Sum ◽  
Diversity Receiver ◽  
Average Error Probability

We present analytical results on the average probability of error (PER) performance of an optically pre-amplified pulse-position modulation (PPM) receiver under Malaga- M fading. The results are in the form of a finite sum whose number of terms depends on the PPM modulation order and the noise modes of the amplifier, enabling the efficient calculation of the average PER. In addition, we utilized the presented analysis to evaluate the performance of a equal-gain-combining (EGC) diversity receiver that operates in conjunction with optical amplification and PPM. The results show that the utilization of diverse and relatively low PPM orders achieves a drastic reduction in the average PER.

scholarly journals Accurate Evaluation of the Average Probability of Error of Pulse Position Modulation in Amplified Optical Wireless Communications under Turbulence

2019 ◽  
Vol 9 (4) ◽  
pp. 749 ◽  
Author(s):  
Anthony Boucouvalas ◽  
Nikos Sagias ◽  
Konstantinos Yiannopoulos
Keyword(s):  
Communication Systems ◽  
Signal To Noise Ratio ◽  
Optical Signal ◽  
Wireless Communication Systems ◽  
Pulse Position Modulation ◽  
Optical Wireless ◽  
Probability Of Error ◽  
Optical Wireless Communications ◽  
Average Probability ◽  
Good Agreement

We present exact and approximate results on the average probability of error (PER) for pulse position modulation (PPM) in pre-amplified optical wireless communication systems with diversity. The approximate results are obtained by combining a new mathematical formula that we derive for binary PPM and an existing formula that associates higher-order PPM PERs with their binary PPM counterpart. The approximate results are compared with the exact in weak, moderate, and strong turbulence, and it is demonstrated that they are in good agreement under all fading conditions. Moreover, the accuracy of the approximation improves with the optical signal-to-noise ratio and the number of diversity branches that are used, which correspond to implementation scenarios that are typically anticipated in practice.

PROBABILITY OF BPSK SIGNAL RECEPTION ERROR IN PRESENCE OF SIMILAR HINDRANCE

2019 ◽  
pp. 55-59
Author(s):  
V. V. Zvonarev ◽  
I. A. Karabelnikov ◽  
A. S. Popov
Keyword(s):  
Initial Phase ◽  
Information Transfer ◽  
Radio Channel ◽  
Mutual Coherence ◽  
Coherent Noise ◽  
Probability Of Error ◽  
Discrete Signals ◽  
Average Probability ◽  
Correlation Receiver ◽  
Computer Type

The paper considers the problem of calculation of average probability of error of optimum symbol‑by‑symbol coherent reception of binary opposite phase‑shift keyed signals (BPSK) in the presence of similar synchronous noise. The noise similar to signal of PSK‑2 (BPSK), synchronous on clock periods, matching on frequency, differing in sequence of information characters and, perhaps, on initial phase of the bearing fluctuation is considered, up to mutual coherence of signal and noise. Formulas for calculation of probability of error are derived and results of partial computer type of diagrams of tension are given in some points of the correlation receiver. Optimum reception of discrete signals is carried out by means of the correlation receiver or the coordinated filter configured on signal in lack of noise in the presence of only receiver noises. It is shown that availability of synchronous similar or harmonious coherent noise, aim on structure, leads to decrease in noise stability of radio channel of information transfer. Than the level of noise is higher, that the probability of error is more.

scholarly journals Robust Multiuser Detection in Synchronous DS-CDMA System with MRC Receive Diversity over Nakagami-m Fading Channel

2012 ◽  
Vol 4 ◽  
pp. 43-50 ◽  
Author(s):  
Rao V. Srinivasa ◽  
Kumar P. Vinay ◽  
S. Balaji ◽  
Khan Habibulla ◽  
Kumar T. Anil
Keyword(s):  
Multiuser Detection ◽  
Fading Channel ◽  
Decorrelating Detector ◽  
Probability Of Error ◽  
Receive Diversity ◽  
M Estimator ◽  
Average Probability ◽  
M Channels ◽  
Non Gaussian ◽  
Code Division Multiple

This paper presents the robust multiuser detection in synchronous direct sequence-code division multiple access (DS-CDMA) systems with Maximal Ratio Combiner (MRC) receive diversity over frequency-nonselective, slowly fading Nakagami-m channels in a non-Gaussian environment. Average probability of error is derived for decorrelating detector over single path Nakagami-m fading channel. A new M-estimator proposed to robustify the detector is studied and analyzed. Simulation results show that the new M-estimator outperforms linear decorrelating detector, the Huber, and the Hampel estimator based detectors.

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