Fourier-Bessel error performance analysis and evaluation of M-ary QAM schemes in an impulsive noise environment

Kosmopoulos, S.A.; Mathiopoulos, P. Takis; Gouta, M.D.

doi:10.1109/26.79281

Cited by 29 publications

(16 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As an additive non-Gaussian noise model in the examle, an additive combination of an AWGN of variance ai and an impulsive noise of Gaussian distribution of variance a: which is observed with the probablity y(< 1) per symbol interval is used [4]. By taking the convolution of the two probability density functions, the probability density function of the additive non-Gaussian noise is rewritten as…”

Section: Numerical Example a Noise Modelmentioning

confidence: 99%

Importance sampling for TCM scheme on additive non-Gaussian noise channel

Sakai

Ogiwara²

Proceedings of 1995 IEEE International Symposium on Information Theory

View full text Add to dashboard Cite

Section: Numerical Example a Noise Modelmentioning

confidence: 99%

Importance sampling for TCM scheme on additive non-Gaussian noise channel

Sakai

Ogiwara²

Proceedings of 1995 IEEE International Symposium on Information Theory

View full text Add to dashboard Cite

“…15, the analysis is based on the exponential distribution, and in Ref. 17, it is based on the Rayleigh distribution. In this paper, the Rayleigh distribution is assumed for the probability density function of a.…”

Section: T] the Combined Distortion Noise Process R(t) Is Representementioning

confidence: 99%

Study of statistical model and power measurement results for distortions due to clipping in SCM optical transmission system

Maeda

Tsukamoto

Komaki

2002

Electron. Comm. Jpn. Pt. I

View full text Add to dashboard Cite

In the SCM optical transmissions used in optical CATV, it has been pointed out that the distortion generated by clipping behaves in the same way as impulse noise. In this paper, it is assumed that the distortion due to clipping is generated following the Poisson distribution, with the same characteristics as the band‐limited noise, and it is demonstrated theoretically that the amplitude distribution follows Middleton's class A model. On the other hand, there have been many discussions of the theoretical value of the distortion power due to clipping. This study notes that the measurement of the noise power by the spectrum analyzer essentially contains a measurement error. Using the statistical model for the distortion amplitude derived in this paper, the measurement error is calculated for the case in which the amplitude distribution of the distortion due to clipping follows that of the impulse noise. The calculation result is compared to the measurement results and the amount of correction is theoretically derived for the very large error present in the distortion value indicated by the spectrum analyzer. In the SCM optical transmission used in optical CATV, the measured distortion is smaller than the actual value at the ordinary employed optical modulation index. The difference may sometimes reach 20 dB. When the measured value is corrected for the error by the method presented in this paper, the theoretical value of the distortion by clipping, as obtained from Saleh's expression, is almost entirely adequate. © 2002 Wiley Periodicals, Inc. Electron Comm Jpn Pt 1, 85(8): 13–22, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecja.1114

show abstract

“…(11) These statistics have been successfully used by several authors [2,9,10]. They allow us to obtain an exact solution to our problem.…”

Section: B Noise Modelmentioning

confidence: 99%

“…In practice, the phase error can never be cancelled. In many research works that analyze the performance of QAM, this phase error is rarely taken into account [2,3]. Furthermore, in the modern operating environment of digital communication systems, non-Gaussian noise is observed as a dominating factor [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…This model has been used by several authors, among them Kosmopoulos et al [2]; however, in their work, they just use a first order approximation and apply the Fourier-Bessel technique to perform numerical computations. In practice, the number of impulses occurring in the detection interval is not small enough to justify the first order approximation [4].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Influence of phase error on M-QAM demodulation in a non-Gaussian environment

Huynh

Fortier²

VTC '98. 48th IEEE Vehicular Technology Conference. Pathway to Global Wireless Revolution (Cat. No.98CH36151)

View full text Add to dashboard Cite

This paper considers the influence of a deterministic phase error for coherent M-QAM demodulators in a non-Gaussian environment; the latter is modeled as a combination of a white Gaussian process and a filtered Poisson process whose enveloped amplitude obeys the Rayleigh distribution. General results show that when approaching the critical limit, the symbol error rate quickly reaches a plateau having a relatively large width. I. INTRODUCTIONDigital communications systems are becoming more and more popular in every day use to the point of being considered just another consumer good. Among digital modulation schemes, M-QAM is the most employed because of its bandwidth efficiency [1]. To receive QAM signals, we have to use coherent detection which requires a perfect phase synchronization. In practice, the phase error can never be cancelled. In many research works that analyze the performance of QAM, this phase error is rarely taken into account [2,3]. Furthermore, in the modern operating environment of digital communication systems, non-Gaussian noise is observed as a dominating factor [4,5]. It is then quite natural to look at the influence of these two factors on the behavior of QAM demodulators.In this paper, the non-Gaussian perturbation is considered as the sum of a white Gaussian noise with spectral density N 0 / 2 and an impulsive noise modeled as a filtered Poisson process with Rayleigh distribution for the envelope amplitude. This model has been used by several authors, among them Kosmopoulos et al. [2]; however, in their work, they just use a first order approximation and apply the Fourier-Bessel technique to perform numerical computations. In practice, the number of impulses occurring in the detection interval is not small enough to justify the first order approximation [4]. It then becomes important to find a way for a general analysis.The phase error statistics in the presence of non-Gaussian noise are still not well studied. Some preliminary results have been reported for a first order phase locked loop [6]. In such a situation, it is preferable to analyze the receiver behavior for fixed phase errors and to study the symbol error rate for a practical range of these phase error values, up to the critical phase error for each constellation size.In a recent work [7], using the characteristic function method, we had obtained an exact analytical expression of the joint probability density function f XY (x,y) of the in-phase and quadrature outputs of a correlator-receiver, which is optimum for additive white Gaussian noise, using the maximum likelihood criteria. The detection thresholds remain unchanged while the phase error θ makes the received signal move. These changes can be computed analytically in such a way that the symbol error rate computations can be formulated in terms of f XY (x,y). We can easily compute the symbol error rate for any situation and the numerical values can be obtained as precisely as desired.The paper is structured as follows. In Section 2, we briefly present the receive...

show abstract

Fourier-Bessel error performance analysis and evaluation of M-ary QAM schemes in an impulsive noise environment

Cited by 29 publications

References 12 publications

Importance sampling for TCM scheme on additive non-Gaussian noise channel

Importance sampling for TCM scheme on additive non-Gaussian noise channel

Study of statistical model and power measurement results for distortions due to clipping in SCM optical transmission system

Influence of phase error on M-QAM demodulation in a non-Gaussian environment

Contact Info

Product

Resources

About