Abstract
This paper presents an approach for the analysis of gated Gaussian impulsive noise and its effects in M-ary Quadrature Amplitude Modulation (M-QAM) schemes. In the approach, both amplitude variation and noisy pulse duration can be characterized as an amplitude modulation of the impulsive component by a discrete (binary or m-ary) random process. New exact expressions are obtained for the probability density function, autocorrelation function and power spectral density of the noise as well as for the bit error probability of M-QAM considering the maximum {\em a posteriori} probability optimum receiver. An important aspect of the proposed approach is the fact that the discrete random process incorporates the main parameters of the impulsive noise, such as amplitude, duration, instants in which the noise is added and time intervals between instants in which the noise is added.
Highlights
G ATED Gaussian noise or impulsive interference terminology has been used since 2001, when the Digital Television Group, leaded by BBC R&D with the participation of Sony, Philips, Rohde & Schwarz, Zarlink and STMicroelectronics, was created
The purpose of the group was to establish a set of waveforms for tests, and methods to be used to adequately represent the effect of impulsive interference in digital terrestrial television (DTT)
A resume of the results of the studies of the group was presented in [1], concerning the contribution of the authors to the group of studies of BBC, from October 2001 to October 2002. Their contribution consisted in the acquisition and statistical analysis of the real impulsive interference for the proposal of a model of noise and conducting measurements in laboratory for validation and simplification of the proposed model
Summary
G ATED Gaussian noise or impulsive interference terminology has been used since 2001, when the Digital Television Group, leaded by BBC R&D with the participation of Sony, Philips, Rohde & Schwarz, Zarlink and STMicroelectronics, was created. The evaluation of the influence of the impulsive interference on the performance of optimum receivers for M-QAM modulation schemes is discussed This evaluation can be performed after the determination of the probability density function of the composed noise η(t) = ηg(t) + C(t)ηi(t), in which ηg(t) represents a white Gaussian process, with zero mean and variance σg. A procedure similar to the one provided by the BBC Digital Television Group (DTG) was used to assess the performance of the Innovative Modulation System Project (MI-SBTVD), developed for the Brazilian Digital Television System, in the presence of impulsive noise These categories of impulsive noise are mathematically different from those generated by impulsive electromagnetic discharges from industrial high voltage equipment, as analyzed in [10] and [27], in which the influence is verified on wireless sensor networks communication.
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