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This paper discusses the application of MATLAB and Simulink for digital communication, focusing on techniques such as Quadrature Amplitude Modulation (QAM) and various simulation models. It emphasizes the significance of adaptive equalizers, error correction codes, and the use of MATLAB routines to simulate practical communication systems, providing insights into signal processing methods and error performance.
IEEE Communications Letters, 2000
IEEE Transactions on Communications, 2000
We study a parametric quadrature amplitude modulation (QAM) family, called θ-QAM, which includes other known constellations, such as square QAM (SQAM) and triangular QAM (TQAM), as special cases. The versatile structure of the θ-QAM signal constellation, which occurs from the varying angle between the signal points, results in achieving the minimum symbol error rate (SER) or bit error rate (BER), under an average power constraint. The theoretical study aims at providing insight into the trade-off between error performance and complexity of this parametric modulation scheme. Exact analytical expressions are obtained for the SER in additive white Gaussian Noise (AWGN) and Nakagami-m fading channels, while highly accurate BER approximations are presented. Finally, we find the optimum angles, in a minimal SER or BER sense, for a specific signal-to-noise ratio (SNR) and modulation order, M . This serves as an indicator for the appropriate constellation with respect to channel conditions and SER or BER requirements. The presented theoretical analysis is validated via extensive computer simulations.
Performance Evaluation and Simulation of M-Ary Quadrature Amplitude Modulation Schemes with VisSim/Comm Software, 2019
M-ary modulation schemes are considered one of widely used digital modulation in practice because of its high efficiency in power and bandwidth. Therefore, this necessity the need to study and evaluate the performance of M-ary schemes using simulation techniques. In this paper, the performance of M-ary modulations schemes M-ary quadrature amplitude modulation (QAM) is considered. Because of its efficiency in power and bandwidth, M-ary QAM (M-QAM) is one of the widely used modulation techniques in practice. Therefore, a need for studying and evaluating the performance of QAM modulation schemes is an important task for designers. In this paper, M-QAM modulation schemes for even number of bits per symbol (16, 62, and 256-QAM) and an odd number of bits per symbol (32-and 128-QAM), over Additive White Gaussian Noise channel, are studied. A VisSim/Comm simulation [1] model for M-QAM is designed. Theoretical and simulation results for bit error ratio (BER) performance of QAM modulation schemes are obtained using VisSim/Comm software. The results are evaluated and compared.
Ieice Transactions, 2010
In this paper, we consider the error performance of the regular triangular quadrature amplitude modulation (TQAM). In particular, using an accurate exponential bound of the complementary error function, we derive a simple approximation for the average symbol error rate (SER) of TQAM over Additive White Gaussian Noise (AWGN) and fading channels. The accuracy of our approach is verified by some
Recent theoretical studies of communication systems show much interest on high-level modulation, such as M-ary quadrature amplitude modulation (M-QAM), and most related works are based on the simulations. In this paper, a simulation model to study various M-ary QAM modulation techniques is proposed. The simulation model is implemented in Matlab/Simulink environment and BERTool in conjunction with the model is also used. Simulation for 64-QAM and 256-QAM modulation techniques is done. The effect of the phase noise on the constellation diagram for both M-QAMs is examined. The impact of changing the power of the input signal, phase noise and frequency offset on Bit Error Rate (BER) performance of 64-QAM and 256-QAM is also studied. The simulation results in terms of the constellation diagram and the BER curve under various conditions are presented and analyzed.
2009 IEEE International Conference on Wireless and Mobile Computing, Networking and Communications, 2009
We study the performance of a parametric quadrature amplitude modulation (QAM) family, called -QAM, which includes other known constellations, such as square QAM (SQAM) and triangular QAM (TQAM), as special cases. The versatile structure of the -QAM signal constellation, which occurs from the varying angle between the signal points, results in achieving the minimum symbol error rate (SER) or bit error rate (BER), under an average power constraint. Exact analytical expressions are obtained for the SER performance of -QAM in additive white Gaussian Noise (AWGN) and Nakagami-m fading channels, while highly accurate approximations for the BER are presented. The theoretical study aims at providing insight into the tradeoff between error performance and complexity of this parametric modulation scheme. The presented theoretical analysis is validated via extensive computer simulations.
Wireless Communications and Mobile Computing, 2018
In this paper, new exact expressions for evaluating the bit error probability (BEP) of the-ary quadrature amplitude modulation scheme (-QAM) for a channel model characterized by double gated additive white Gaussian noise (G 2 AWGN) and Nakagami fading are presented. The derivation of the BEP is performed considering a method in which the multiplicative fading is transformed in an additive noise obtained by dividing the received signal by the estimated fading envelope. In addition, the probability density function (PDF) and cumulative density function (CDF) of the random variable that represents the aforementioned noise are obtained for the G 2 AWGN. The BEP curves as a function of the signal to permanent noise ratio for several values of the signal to impulsive noise ratio, modulation order, and fading parameters are also presented.
2007
In this paper we derive a general and closed- form expression for the bit error probability of square M-ary quadrature amplitude modulation (M-QAM) for a Rayleigh fading channel.
IEEE Journal on Selected Areas in Communications, 1992
In this paper, to improve both bandwidth efficiency and error performance, partial response signaling and trellis coded modulation are considered together for QAM. A new receiver for a data transmission system employing combined partial response/trellis coded modulation (QPR-TCM) is investigated. Thus, combined 6QPR-TCM and 42QPR-TCM systems are introduced. Simulation studies in the IS1 environment are done. In a colored noise environment, the error probability of 6QPR-TCM is analytically lower bounded and compared to the classical 4QAM-TCM. An optimal (QPR-TCM) scheme is proposed which improves both jitter and error performance in a colored noise environment.
FUOYE Journal of Engineering and Technology
The existence of phase noise in virtually every digital communications system poses a serious challenge to system designers especially as system complexity increases. Communication system complexity could be attributed to the modulation techniques adopted and the circuitry employed in achieving such modulations. This work investigates the impact of phase noise on the Symbol Error Rate (SER) of the different Quadrature Amplitude Modulation (QAM) schemes. MATLAB simulation technique is adopted for the work and the results of the simulations show that as the phase noise is increased negatively, all the QAM schemes investigated show a reduction in SER and at a point, records a zero error. The value at which the schemes record this zero symbol error rate increases as the complexity of the scheme increases. So, higher order QAM schemes accommodate more symbol errors than the lower orders. The results also show that hard decision decoding has the worst performance index, irrespective of t...
This paper demonstrates that for transmitting data over a strictly band-limited transmission channel of bandwidth B quadrature amplitude modulation at symbol rate r s = 2B is optimal with regard to information throughput. In accordance with the sampling theorem any band limited signal can be uniquely represented with 2B samples per second and reconstructed using reconstruction circuit which is in fact a generic QAM modulator. Band limited signals produced with any other modulation technique can thus also be obtained using a QAM modulator. This implies that QAM performs at least as good as any other modulation and is thus optimal.
2016
Trellis-coded quadrature amplitude modulation with 2N-dimensional constellations mobile radio channels
2018
This paper analyzes the effects of channel estimation errors on the error performance of the recently proposed quadrature channel modulation (QCM) over flat Rayleigh fading channels. A closed-form expression for the pairwise error probability (PEP) of the QCM scheme is derived in the presence of channel estimation errors, and used to calculate upper bound of the average bit error probability (ABEP) for M -QAM signalling. Computer simulation results are provided to corroborate the accuracy of the derived analysis with increasing signal-to-noise ratio (SNR). It has been shown by the computer simulation that the QCM scheme is considerably robust to channel estimation errors.
International Journal of Computer Applications, 2014
The error performance of the 2-tier star shaped Quadrature Amplitude Modulation scheme over K and K G fading channels are analyzed and evaluated. Novel closed form expressions for Symbol Error Rate (SER) have been derived for M-ary 2-tier circular Star QAM transmitted over the K and K G fading channels. The expressions derived are in the form of sum of single definite integrals of hypergeometric functions which are calculated using numerical methods. The expressions are validated by extensive Monte Carlo simulation. A simple relationship between SER and bit error rate (BER) is proposed and experimentally verified. Using the expressions for SER, the optimum values of ring ratio are calculated for various values of M. It has also been established that the error performance of 2-tier Star QAM is considerably superior to that of the M-ary Square QAM for high and moderate fading.
EURASIP Journal on Wireless Communications and Networking, 2010
The exact symbol error probability (SEP) performance of-ary cross quadrature amplitude modulation (QAM) in additive white Gaussian noise (AWGN) channel and fading channels, including Rayleigh, Nakagami-m, Rice, and Nakagami-q (Hoyt) channels, is analyzed. The obtained closed-form SEP expressions contain a finite (in proportion to) sum of single integrals with finite limits and an integrand composed of elementary (exponential, trigonometric, and/or power) functions, thus readily enabling numerical evaluation. Particularly, Gaussian-function is a special case of these integrals and is included in the SEP expressions. Simple and very precise approximations, which contain only Gaussian-function for AWGN channel and contain three terms of the single integrals mentioned above for fading channels, respectively, are also given. The analytical expressions show excellent agreement with the simulation results, and numerical evaluation with the proposed expressions reveals that cross QAM can obtain at least 1.1 dB gain compared to rectangular QAM when SEP < 0.3 in all the considered channels.
2007
Quadrature Amplitude Modulation (QAM) is a bandwidth-efficient transmission technique. The exact average Bit Error Ratio (BER) of the maximum-minimum-distance rectangular QAM (R-QAM) constellation is studied in the context of asynchronous Co-Channel Interference (CCI) and Nakagami-m fading. A new formula is derived for the Characteristic Function (CF) of the CCI, which requires no knowledge of the CCI distribution. The numerical results obtained from our exact BER expression are verified by our simulation results and are also compared to those of the Gaussian Approximation (GA).
IEEE Communications Letters, 2000
Recently, Beaulieu, following an ingenious concept, presented a closed-form expression for a useful integral, which was used for the evaluation of the symbol error probability (SEP) of general order rectangular quadrature amplitude modulation (QAM) in slow Rayleigh fading. In this letter, these results are extended to Nakagami-m fading channels, deriving a novel closed-form formula for the average over Nakagami-m fading of the product of two Gaussian Q-functions, which can be efficiently used to study the impact of fading severity on the error performance of general rectangular QAM constellations.
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