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Fading distribution

About: Fading distribution is a research topic. Over the lifetime, 5732 publications have been published within this topic receiving 114193 citations.


Papers
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Journal ArticleDOI
TL;DR: Using the Trapezoidal rule of numerical integration, simpler and tighter approximations for the Gaussian Gaussian ${Q}$ function are proposed that can be efficiently applied to compute the integrals in symbol error probability (SEP) expressions of various digital modulation schemes over additive white Gaussian noise as well as fading channels.
Abstract: In this letter, using the Trapezoidal rule of numerical integration, we propose simpler and tighter approximations for the Gaussian ${Q}$ function. These can be efficiently applied to compute the integrals in symbol error probability (SEP) expressions of various digital modulation schemes over additive white Gaussian noise as well as fading channels. Using the proposed approximations, we present a closed-form solution to these integrals for Nakagami- ${m}$ fading channel, which are valid for the entire range of fading parameter ( ${m}$ ). To further validate the closed-form solution of these integrals, the SEP of 16-HQAM signal is also analyzed and compared with existing approximations.

52 citations

Journal ArticleDOI
TL;DR: Simulation results show that new maximum likelihood estimators that use samples of both the fading envelope and the fading phase have good performances when operating in a Ricean fading channel, and in some cases outperform envelope-sample-based estimators.
Abstract: Estimation of the K factor in a Ricean fading channel is studied. Unlike most previous estimators which employ exclusively samples of the fading envelope, new maximum likelihood estimators that use samples of both the fading envelope and the fading phase, or samples of the fading phase only, are derived and examined. Simulation results show that these estimators have good performances when operating in a Ricean fading channel, and in some cases outperform envelope-sample-based estimators.

52 citations

Journal ArticleDOI
TL;DR: This work provides a framework for system design under various fading conditions, and quantifies the bandwidth and energy requirements of RACS in fading, showing that for most practical values of the signal to noise ratio, energy utilization is higher in a fading channel than it is in a non-fading channel, while the minimum required bandwidth is lower.
Abstract: Random Access Compressed Sensing (RACS) is an efficient method for data gathering from a network of distributed sensors with limited resources. RACS relies on integrating random sensing with the communication architecture, and achieves overall efficiency in terms of the energy per bit of information successfully delivered. To address realistic deployment conditions, we consider data gathering over a fading and noisy communication channel. We provide a framework for system design under various fading conditions, and quantify the bandwidth and energy requirements of RACS in fading. We show that for most practical values of the signal to noise ratio, energy utilization is higher in a fading channel than it is in a non-fading channel, while the minimum required bandwidth is lower. Finally, we demonstrate the savings in the overall energy and the bandwidth requirements of RACS compared to a conventional TDMA scheme. We show that considerable gains in energy -on the order of 10 dB- are achievable, as well as a reduction in the required bandwidth, e.g., 2.5-fold decrease in the bandwidth for a network of 4000 nodes.

52 citations

Proceedings ArticleDOI
17 Jun 2012
TL;DR: The probability distribution function (PDF) and cumulative density function of the sum of L independent but not necessarily identically distributed gamma variates, applicable to maximal ratio combining receiver outputs or in other words applicable to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels, is presented in closed form.
Abstract: The probability distribution function (PDF) and cumulative density function of the sum of L independent but not necessarily identically distributed gamma variates, applicable to maximal ratio combining receiver outputs or in other words applicable to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels, is presented in closed form in terms of Meijer G-function and Fox H-function for integer valued fading parameters and non-integer valued fading parameters, respectively Further analysis, particularly on bit error rate via PDF-based approach, too is represented in closed form in terms of Meijer G-function and Fox H-function for integer-order fading parameters, and extended Fox H-function (Ĥ) for non-integer-order fading parameters The proposed results complement previous results that are either evolved in closed-form, or expressed in terms of infinite sums or higher order derivatives of the fading parameter m

52 citations

Journal ArticleDOI
TL;DR: A channel model useful for analyzing the effects of multipath fading in digital radio systems is presented; the methods of data reduction and statistical analysis used to derive the model are presented; some assessments of validity are described; and its limitations, virtues and possible uses are discussed.
Abstract: We present a channel model useful for analyzing the effects of multipath fading in digital radio systems. The frequency response of a fading channel is represented by the function A 0 — ωB 1 + jωA 1 , where ω (=2πf) is measured from the center of the channel, and A 0 , A 1 ,and B 1 are variable coefficients that change slowly with time. The model consists of this function, the joint probability density function (pdf) for the three coefficients, and the average number of seconds per heavy-fading month for which this response applies. The model is derived from a large base of multipath fading data, obtained on a 26.4-mile path in Georgia in June 1977. It consists of nearly 25,000 recorded measurements of received power vs frequency in a 26.3-MHz bandwidth at 6 GHz. In this paper, we present the methods of data reduction and statistical analysis used to derive the model; describe some assessments of Us validity; and discuss its limitations, virtues and possible uses. By all available measures, the model is highly accurate. It suffers from a potentially important phase ambiguity that can be resolved only via new, coherent measurements. The existing model should prove very useful in the design and planning of such measurements.

51 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202322
202270
202123
202022
201920
201837