Journal ArticleDOI
New bounds for the Marcum Q-function
TLDR
New bounds are proposed for the Marcum Q-function, which is defined by an integral expression where the 0th-order modified Bessel function appears, and prove to be very tight and outperform bounds previously proposed in the literature.Abstract:
New bounds are proposed for the Marcum Q-function, which is defined by an integral expression where the 0th-order modified Bessel function appears. The proposed bounds are derived by suitable approximations of the 0th-order modified Bessel function in the integration region of the Marcum Q-function. They prove to be very tight and outperform bounds previously proposed in the literature. In particular, the proposed bounds are noticeably good for large values of the parameters of the Marcum Q-function, where previously introduced bounds fail and where exact computation of the function becomes critical due to numerical problems.read more
Citations
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Journal ArticleDOI
Prony and Polynomial Approximations for Evaluation of the Average Probability of Error Over Slow-Fading Channels
Pavel Loskot,Norman C. Beaulieu +1 more
TL;DR: A novel and simple semianalytical method for evaluating the average probability of transmission error for digital communication systems that operate over slow-fading channels and requires knowledge of the moment-generating function of the instantaneous signal-to-noise ratio at the detector input to achieve good accuracy.
Journal ArticleDOI
On the Monotonicity, Log-Concavity, and Tight Bounds of the Generalized Marcum and Nuttall $Q$ -Functions
TL;DR: In this paper, a simple probabilistic method is given to prove the monotonicity of the generalized Marcum and Nuttall Q-functions and its deformations with respect to each of the three parameters.
Journal ArticleDOI
On the Monotonicity of the Generalized Marcum and Nuttall ${Q}$ -Functions
TL;DR: The offered theoretical results can be efficiently applied in the study of digital communications over fading channels, in the information-theoretic analysis of multiple-input multiple-output systems and in the description of stochastic processes in probability theory, among others.
Posted Content
The generalized Marcum Q-function: an orthogonal polynomial approach
TL;DR: The absolute convergence of the proposed power series expansion is showed, together with a convergence speed analysis by means of truncation error, as well as a brief review of related studies and some numerical results are provided.
Journal ArticleDOI
Space Shift Keying (SSK) Modulation with Partial Channel State Information: Optimal Detector and Performance Analysis over Fading Channels
M. Di Renzo,Harald Haas +1 more
TL;DR: A very accurate analytical framework for the analysis and optimization of this novel detector over generically correlated and non-identically distributed Nakagami-{m} fading channels is proposed, and its performance compared to the optimal receiver design with F-CSI is proposed.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Digital communications
TL;DR: This month's guest columnist, Steve Bible, N7HPR, is completing a master’s degree in computer science at the Naval Postgraduate School in Monterey, California, and his research area closely follows his interest in amateur radio.
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A unified approach to the performance analysis of digital communication over generalized fading channels
TL;DR: It is shown that in the largest majority of cases, these error-rate expressions can be put in the form of a single integral with finite limits and an integrand composed of elementary functions, thus readily enabling numerical evaluation.
Journal ArticleDOI
A unified approach to the probability of error for noncoherent and differentially coherent modulations over generalized fading channels
TL;DR: A unified approach to determine the exact bit error rate (BER) of noncoherent and differentially coherent modulations with single and multichannel reception over additive white Gaussian noise and generalized fading channels is presented.