PSK Communication with Passband Additive Symmetric α-Stable Noise

The conventional additive white Gaussian noise (AWGN) model adequately simulates many noisy environments that hamper the performance of practical digital communication systems. However if the channel noise is impulsive, the approximation this model provides reduces significantly. The AWGN channel may then be replaced by the more general additive white symmetric α-stable noise (AWSαSN) model. When converted to its complex baseband form, the resulting noise for the non-Gaussian AWSαSN case is radically different from its Gaussian counterpart. In this paper we investigate the properties of baseband noise for the general AWSαSN case using conventional passband-to-baseband conversion schemes. The converted noise is generally not isotropic and furthermore the real and imaginary components may be dependent. By varying certain physical parameters we may attain different non-isotropic distributions. Using the variable geometry offered by these distributions, efficient placement of signal points on the constellation map for the quadrature phase-shift keying (QPSK) scheme is proposed. It is shown that efficient placement of signal points significantly improve the uncoded error performance of the system. We plot the bit error rate (BER) and symbol error rate (SER) curves against a signal-to-noise ratio (SNR) measure for a few selected rotated versions of the QPSK scheme.

[1]  Gonzalo R. Arce,et al.  Weighted myriad filters: a robust filtering framework derived from alpha-stable distributions , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[2]  Gonzalo R. Arce,et al.  Nonlinear Signal Processing - A Statistical Approach , 2004 .

[3]  M. Chitre,et al.  Optimal and Near-Optimal Signal Detection in Snapping Shrimp Dominated Ambient Noise , 2006, IEEE Journal of Oceanic Engineering.

[4]  Gonzalo R. Arce,et al.  Robust techniques for wireless communications in non-gaussian environments , 1997 .

[5]  John G. Proakis,et al.  Digital Communications , 1983 .

[6]  M. Chitre,et al.  Underwater acoustic channel characterisation for medium-range shallow water communications , 2004, Oceans '04 MTS/IEEE Techno-Ocean '04 (IEEE Cat. No.04CH37600).

[7]  Peter J. W. Rayner,et al.  Near optimal detection of signals in impulsive noise modeled with a symmetric /spl alpha/-stable distribution , 1998, IEEE Communications Letters.

[8]  J. Huston McCulloch.  Numerical approximation of the symmetric stable distribution and density , 1998 .

[9]  Teong Chee Chuah,et al.  On Reed–Solomon Coding for Data Communications Over Power-Line Channels , 2009, IEEE Transactions on Power Delivery.

[10]  Gonzalo R. Arce,et al.  Statistically-Efficient Filtering in Impulsive Environments: Weighted Myriad Filters , 2002, EURASIP J. Adv. Signal Process..

[11]  John R. Potter,et al.  Viterbi Decoding of Convolutional Codes in Symmetric α -Stable Noise , 2007, IEEE Transactions on Communications.

[12]  Ananthram Swami,et al.  Non-Gaussian mixture models for detection and estimation in heavy-tailed noise , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[13]  Gonzalo R. Arce,et al.  Optimality of the myriad filter in practical impulsive-noise environments , 2001, IEEE Trans. Signal Process..

[14]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[15]  M. Taqqu,et al.  Stable Non-Gaussian Random Processes : Stochastic Models with Infinite Variance , 1995 .

[16]  Heng Siong Lim,et al.  Decoding of Turbo Codes in Symmetric Alpha-Stable Noise , 2011 .

[17]  Bayan S. Sharif,et al.  Nonlinear decorrelator for multiuser detection in non-Gaussian impulsive environments , 2000 .

[18]  P. Rayner,et al.  A near-optimal receiver for detection in /spl alpha/-stable distributed noise , 1998, Ninth IEEE Signal Processing Workshop on Statistical Signal and Array Processing (Cat. No.98TH8381).

[19]  Seokho Yoon,et al.  Code acquisition for DS/SS communications in non-Gaussian impulsive channels , 2004, IEEE Transactions on Communications.

[20]  J. L. Nolan,et al.  Numerical calculation of stable densities and distribution functions: Heavy tails and highly volatil , 1997 .

[21]  G.R. Arce,et al.  Zero-Order Statistics: A Mathematical Framework for the Processing and Characterization of Very Impulsive Signals , 2006, IEEE Transactions on Signal Processing.

[22]  J. L. Nolan.  Stable Distributions. Models for Heavy Tailed Data , 2001 .

[23]  C. L. Nikias,et al.  Signal processing with alpha-stable distributions and applications , 1995 .