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Complex Gaussian Ratio-Based bit error probability Calculation for PAM-FBMC Systems

IEEE COMMUNICATIONS LETTERS 2024年第4期28卷 788-792页

作者： Guo, Qiang Wang, Ying Xiang, Jianhong Zhong, Yu Harbin Engn Univ Coll Informat & Commun Engn Harbin 150001 Peoples R China China Elect Technol Grp Cetc 10 Agile & Intelligent Comp Key Lab Chengdu 610036 Peoples R China

The interference induced by doubly-selective channels does not follow a Gaussian distribution, which leads to an inaccurate prediction for the reliability of Pulse Amplitude Modulation-based Filter Bank Multi-Carrier (PAM-FBMC) systems. In this letter, we derive a closed-form expression for the bit error probability (BEP) based on Complex Gaussian Ratio (CGR), which accurately predicts the bit error Rate (BER) of the system and provides a basis for system design. Specifically, we first investigate the distribution properties of the ratio between the received symbol and the channel coefficients (i.e., CGR) to derive its joint probability density function. Secondly, based on the joint probability density of the CGR, we derive its Cumulative Distribution Function (CDF). Finally, we calculate the marginal CDF and, in conjunction with the decision boundaries provided by the PAM constellation, derive the BEP. Simulation results show that the CGR-based BEP provides a better agreement with the simulated BER.

关键词： Symbols Time-frequency analysis OFDM Fading channels Interference error probability Gaussian distribution PAM-FBMC bit error probability complex Gaussian ratio bit error rate

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A New Perspective on Polar Codes: Analysis of bit error probability

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IEEE TRANSACTIONS ON COMMUNICATIONS 2024年第6期72卷 3126-3140页

作者： Wu, Bolin Niu, Kai Dai, Jincheng Beijing Univ Posts & Telecommun BUPT Key Lab Universal Wireless Commun Minist Educ Beijing 100876 Peoples R China

This paper conducts the first analysis of the bit error probability P-b of polar codes under successive cancellation(SC) decoding, with a focus on information bits. We introduce the concept of component bit error probability P-b(i), which corresponds to the i-th stage of SC decoding, and P-b is computed as the sum of all P-b(i)over the information set. To facilitate the evaluation of P-b(i) and P-b, we propose an analytical approach that leverages the algebraic structure of a particular type of polar codes termed polar subcodes. This approach allows usto derive closed-form approximations for the upper bounds on both P-b(i) and P-b. Our analysis applies to both systematic and non-systematic polar codes, where we further investigate the homogeneity and introduce the input-output weight distribution of polar subcodes to obtain more concise expressions for the pro-posed approximate upper bounds. Experimental results are also presented to validate the effectiveness of these approximations.

关键词： Polar codes Decoding error probability Codes Systematics Channel coding Upper bound performance analysis bit error probability successive cancellation decoding weight distribution

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bit error probability Expressions for QAM-FBMC Systems

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IEEE COMMUNICATIONS LETTERS 2022年第5期26卷 994-998页

作者： Galdino Andrade, Iandra Le Ruyet, Didier de Campos, Marcello L. R. Zakaria, Rostom Univ Fed Fluminense Dept Comp Sci BR-21941972 Niteroi RJ Brazil CNAM F-75141 Paris France Fed Univ Rio Janeiro Dept Elect Engn BR-21941901 Rio De Janeiro Brazil

Quadrature Amplitude Modulation based Filter-Bank Multi-Carrier (QAM-FBMC) is a promising technology to replace Orthogonal Frequency Division Multiplexing (OFDM) in future radio access systems. In this letter, we derive a bit error probability expression of QAM-FBMC systems over AWGN channels and over Rayleigh fading channels. We model the intrinsic interference related to the prototype filter through the interference table and consider the interference distribution to derive the bit error probability in QAM-FBMC systems. Numerical results reveal that the proposed expressions pair perfectly with the simulation results.

关键词： Interference Prototypes OFDM bit error rate error probability AWGN channels Quadrature amplitude modulation Filter-bank multicarrier QAM-FBMC BER bit error probability wireless communication

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Generalized Closed-Form Expression for the bit error probability of MPSK with Phase Noise

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WIRELESS PERSONAL COMMUNICATIONS 2023年第4期130卷 2441-2450页

作者： Jafari, Hamid Kazemitabar, Javad Miar-Naimi, Hossein Babol Noshirvani Univ Technol Dept Elect & Comp Engn Babol Iran

This study presents a general and closed-form expression for the bit error probability (BEP) of Gray-coded M-ary phase shift keying (MPSK) in the presence of phase noise in additive white Gaussian noise (AWGN) channel. Closed-form expressions are obtained by converting the AWGN channel noise to equivalent phase noise, under the approximation that the AWGN channel noise and the phase error are both Gaussian distributed. The only existing work in the literature with similar assumption only calculates the BEP for M <= 16. The proposed analysis in this study will facilitate the BEP calculation for higher order MPSK.

关键词： M-ary phase shift keying (MPSK) bit error probability Phase noise Phase error AWGN

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Hybrid Power Line/Wireless Systems: Power Allocation for Minimizing the Average bit error probability

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IEEE TRANSACTIONS ON COMMUNICATIONS 2022年第2期70卷 810-821页

作者： Filomeno, Mateus de L. de Campos, Marcello L. R. Poor, H. Vincent Ribeiro, Moises, V Fed Univ Juiz de Fora UFJF Elect Engn Dept BR-36036900 Juiz De Fora MG Brazil Fed Univ Rio de Janeiro UFRJ PEE COPPE BR-21941972 Rio De Janeiro Brazil Princeton Univ Sch Engn & Appl Sci Princeton NJ 08544 USA

This paper investigates power allocation for minimizing the average bit error probability (BEP) in hybrid communication systems, more specifically hybrid power line/wireless systems (HPWSs). In this regard, a brief discussion of HPWSs is presented in order to point out the complementary characteristics of power line and wireless media. By considering orthogonal frequency-division multiplexing and maximal-ratio combining, optimization problems associated with the minimization of the average BEP in hybrid communication systems are formulated under two distinct transmission power constraints, called sum power and sum power-channel constraints. For both constraints, it is demonstrated that at most one medium should be used for data transmission over subchannels with the same index in order to minimize the average BEP in hybrid communication systems. Based on this finding, power allocation algorithms are derived for this purpose in HPWSs. Numerical analyses are then used to validate the proposed algorithms by comparing them with interior-point-based power allocation algorithms. In addition, performance comparisons show the advantage of the proposals over alternative algorithms from the literature, including previous algorithms proposed for maximizing the achievable data rate.

关键词： OFDM Wireless communication Resource management Communication systems Hybrid power systems Media Frequency division multiplexing bit error probability hybrid communication systems maximal-ratio combining orthogonal frequency division multiplexing power allocation

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bit error probability of MQAM in the Presence of Phase Noise

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IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY 2020年第12期69卷 14918-14931页

作者： Jafari, Hamid Miar-Naimi, Hossein Kazemitabar, Javad Babol Noshirvani Univ Technol Dept Elect & Comp Engn Babol *** Iran

In Gray coded rectangular and square quadrature amplitude modulation (QAM), for each bit, the bit decision boundaries are distributed only along one dimension. Consequently, the exact calculation of bit error probability (BEP) of rectangular and square QAM in the additive white Gaussian noise (AWGN) channel results in simple one-dimensional (1-D) error/Q-functions. This is while the symbol decision boundaries involve two dimensions. This paper presents exact and general expressions for the BEP of Gray coded M-ary rectangular and square QAM in the presence of phase noise in the AWGN as well as flat-fading channels. In doing so, we first derive exact expressions for the BEP of MQAM in the presence of a fixed phase error. The expression will be a weighted sum of 1-D complementary error functions for the AWGN channel. For the flat-fading channels, these formulas consist of only single integrals or simple functions. We then integrate the formulas across noise distribution, to derive the average BEP expression of Gray coded MQAM in the presence of random phase error. Moreover, we provide an exact expression for the bit error floor (BEF) of MQAM in the presence of phase noise in the AWGN and fading channels. The exact expressions include numerous terms for higher order MQAM. Considering the most dominant terms of the exact expressions, we also propose simpler expressions. Simulation results validate the accuracy of the proposed exact expressions for arbitrary levels of input SNR. Moreover, the results show very good performance for the approximate expressions.

关键词： bit error probability M-ary QAM AWGN fading channels phase error phase noise bit error floor

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bit error probability of VLC systems in underground mining channels with imperfect CSI

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AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS 2022年 145卷

作者： Jativa, Pablo Palacios Azurdia-Meza, Cesar A. Zabala-Blanco, David Gutierrez, Carlos A. Sanchez, Ivan Castillo-Soria, Francisco R. Seguel, Fabian Univ Chile Dept Elect Engn Santiago 8370451 Chile Univ Catolica Maule Dept Comp Sci & Ind Talca 3480112 Chile Univ Autonoma San Luis Potosi Fac Sci San Luis Potosi Mexico Univ Amer Dept Telecommun Engn Quito 170503 Ecuador Univ Santiago Chile Dept Elect Engn Santiago 9170124 Chile

Analytical expressions of the statistical distribution of the underground mining visible light communication (UMVLC) square-channel gain are derived considering scattering, shadowing, and a random position and orientation of the receiver. These expressions are employed to compute the system's bit error probability (BEP) considering shot and thermal noises, on-off keying modulation, as well as perfect and imperfect channel state information (CSI) at the receiver side. The results obtained for the BEP are validated by computer simulations for various UMVLC scenarios. A close agreement is observed between the analytical and simulated curves. Furthermore, the performance of the UM-VLC system improves by increasing the field-of-view (FoV) and/or signal-to-noise-ratio. Indeed, for a FoV value of 45 for both the UM-VLC system with perfect CSI and imperfect CSI, the best performance in terms of BEP is obtained. In terms of the UM-VLC system with imperfect CSI, BEP curves saturate for higher values of signal-to-noise-ratio (SNR) due to lower values of FoV, specifically in the case of 45. Finally, the performance of the UM-VLC system increases significantly for higher values of SNR, specifically in the case of 20 dB.

关键词： bit error probability Channel state information Least squares channel estimator Underground mining Visible light communication

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On the bit error probability and the Spectral Efficiency of Opportunistic Wireless Transmissions in Rician Fading Channels

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IEEE ACCESS 2021年 9卷 49267-49280页

作者： Garzon, Nathaly Orozco Mora, Henry Carvajal Garcia, Fernando Almeida Altamirano, Carlos Daniel Univ Las Amer UDLA Telecommun Engn Fac Engn & Appl Sci FICA Quito 170125 Ecuador Univ Campinas UNICAMP Sch Elect & Comp Engn BR-13083852 Campinas Brazil Univ Fuerzas Armadas ESPE Dept Elect & Elect DEEL Sangolqui 171103 Ecuador

Opportunistic systems take advantage of the wireless communication channel random behavior, since transmission is made only when fading amplitude is above a threshold value, which is calculated based on a transmission probability. This type of transmission draws attention because improves the system performance, and it is an interesting scheme for primary users in cognitive radio networks or is also an option for physical layer security. In this paper, we analyze the performance of opportunistic transmissions in Rician fading channels considering square-quadrature-amplitude-modulation (S-QAM) and non-square-quadrature-amplitude-modulation (NS-QAM). Exact closed-form expressions and approximations are derived to evaluate the average bit error probability (ABEP). An expression to calculate the mean spectral efficiency (SE) is also derived considering that a target ABEP must be guaranteed. The SE is calculated using the coverage radius obtained for each modulation used in the system. Hence, an algorithm for the radii calculation is also presented, which considers that the parameters of the Rician fading channel change in the cellular area. The results show that opportunistic transmission (OpT) mitigates the fading effects once the ABEP decays exponentially as the signal to noise ratio (SNR) is increased. Additionally, the proposed algorithm, along with the derived expressions, determine the scenarios where the SE is maximized.

关键词： Optimized production technology Wireless communication Rayleigh channels Rician channels Modulation error probability Signal to noise ratio Opportunistic system Rician fading channel modulations bit error probability spectral efficiency

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bit error probability for Asynchronous Channel Access with Interference Cancellation and FBMC

Bit Error Probability for Asynchronous Channel Access with I...

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IEEE Wireless Communications and Networking Conference (IEEE WCNC)

作者： Penner, Maxim Akin, Sami Fuhrwerk, Martin Peissig, Juergen Leibniz Univ Hannover Inst Kommunikat Tech Hannover Germany Baker Hughes Celle Germany

ISBN: (纸本)9781728131061

Future wireless communication standards will include technologies to provide access to an increasing number of users, for example Machine-Type Communication (MTC), which is expected to interconnect billions of devices. Managing such a large number of network participants in centrally coordinated systems suffers from large controlling overhead as each device needs to be assigned resources and maintain synchronization. In this paper, we investigate systems with asynchronous channel access, in which signals are transmitted without prior resource coordination. In such uncoordinated networks, signal collisions are inevitable and pose a major challenge for system design. We present a closed-form solution for the bit error probability (BEP) of colliding signals modulated with Filter Bank Multicarrier (FBMC), a modern multicarrier scheme that allows a flexible signal design. We additionally derive a solution for the BEP when Successive Interference Cancellation (SIC) is applied, a scheme where successfully decoded signals are removed from a collision in order to improve decoding of other signals implicated in the collision. The results are valid for any numbers of colliding FBMC signals over a broad range of doubly-selective channel configurations. Furthermore, we provide an overview of when interference cancellation is beneficial depending on the power ratio between colliding signals and the selected channel models.

关键词： FBMC SIC bit error probability asynchronous channel access

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bit error probability of the M-QAM scheme subject to multilevel (double) gated additive white Gaussian noise and Nakagami-m fading

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WIRELESS NETWORKS 2019年第7期25卷 4359-4369页

作者： Silva, Hugerles S. Alencar, Marcelo S. Queiroz, Wamberto J. L. Almeida, Danilo B. T. Madeiro, Francisco Fed Univ Paraiba UFPB Joao Pessoa Paraiba Brazil Fed Univ Bahia UFBA Salvador BA Brazil Fed Univ Campina Grande UFCG Campina Grande Paraiba Brazil Univ Pernambuco UPE Recife PE Brazil

In this paper, noise models called multilevel gated additive white Gaussian noise (GAWGN) and multilevel double gated additive white Gaussian noise (G(2)AWGN) are adopted, corresponding to the sum of a white Gaussian component of variance sigma(2)(g) and a white Gaussian noise component of variance sigma(2)(i) gated by a discrete random process defined in continuous time, C(t), which takes values into a finite discrete set. A channel subject to this noise combined with the Nakagamim fading can be used to characterize links in several environments subject to noise caused by different sources and with different intensities. In this work, new exact and closed- form expressions are presented for the bit error probability (BEP) of the M-ary quadrature amplitude modulation scheme (M-QAM) subject to Nakagami-m fading and multilevel GAWGN or multilevel G(2)AWGN. The BEP curves are presented for different parameters that characterize mathematically the channel, corroborated by simulations performed with the Monte Carlo method.

关键词： bit error probability Impulsive noise Nakagami-m fading

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