In this paper we propose a new Gaussian-based analytical method for performance analysis of regular LDPC codes iterative decoding on AWGN channel. The proposed method has good accuracy and low complexity in comparison with current methods. Based on our developed analyti More
In this paper we propose a new Gaussian-based analytical method for performance analysis of regular LDPC codes iterative decoding on AWGN channel. The proposed method has good accuracy and low complexity in comparison with current methods. Based on our developed analytical equations, we present an error propagation model for the iterative decoder of LDPC codes which can be used as a simple tool for convergence analysis of LDPC codes on the AWGN channel.
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Error control codes are among the most useful methods for mitigating the effect of fading and channel noise. Most of researches on error control codes are focused on the codes defined over finite (Galois) fields. In this paper, we consider DFT code defined over infinite More
Error control codes are among the most useful methods for mitigating the effect of fading and channel noise. Most of researches on error control codes are focused on the codes defined over finite (Galois) fields. In this paper, we consider DFT code defined over infinite Real field. We will analysis the performance of DFT code in the presence of quantization noise over fading channel. Our simulation results show that this code can efficiently suppress the effect of fading and channel noise. It will be shown that DFT code outperforms the well-known Reed Solomon code in low signal to noise ratio ranges.
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In this paper, the probability of error of maximal-ratio combining (MRC) and equal-gain combining (EGC) diversity schemes with coherent binary phase shift keying (BPSK) is analyzed over Rayleigh fading channels in the presence of channel estimation error. The channel es More
In this paper, the probability of error of maximal-ratio combining (MRC) and equal-gain combining (EGC) diversity schemes with coherent binary phase shift keying (BPSK) is analyzed over Rayleigh fading channels in the presence of channel estimation error. The channel estimation errors cause errors in the required weighting coefficients of the diversity receivers. Such errors are generally modeled as complex Gaussian random variables. Based on this assumption, we develop novel exact analytical equations for the calculation of the probability of error in the presence of Gaussian errors in the weighting coefficients. Results show that the exact probability of error can be derived using the existing equations under the assumption of perfect channel estimation and by replacing the SNR with an effective SNR, which is due to the weighting coefficients errors.
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An approximate analytical method for the evaluation of the cumulative distribution function (CDF) of the sum of L independent random variables (RVs) is presented. The proposed method is based on the convergent infinite series approach, which makes it possible to describ More
An approximate analytical method for the evaluation of the cumulative distribution function (CDF) of the sum of L independent random variables (RVs) is presented. The proposed method is based on the convergent infinite series approach, which makes it possible to describe the CDF in the form of an infinite series. The computation of the coefficients of this series needs complicated integrations over the RV’s probability density function (PDF). In some cases, the required integrations have closed-form in terms of confluent hypergeometric function and in other cases, the required integrations can not be analytically solved and have not a closed-form solution. In this paper, an approximation method for computation of the coefficients of the CDF series is presented that only needs the mean and the variance of the RV, so it has low computational complexity; it eliminates the need for calculation of complex functions and can be used as a unified tool for determining CDF of a sum of statistically independent RVs. To present an application for the developed approximation method, it is used to find the distribution of the sum of generalized Gamma (GG) RVs. The derived approximate expressions are used in the performance analysis of equal-gain combining (EGC) receivers operating over GG fading channels. The accuracy of the developed approximation method is verified by performing comparisons between exact existing results in the literature and computer simulations results.
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