Journal ArticleDOI
A new formula for MDPSK symbol error probability
TLDR
An extremely compact new formula is presented that is extraordinarily similar to its counterpart for M-ary phase shift keying (MPSK) that simplifies the error probability expressions in other situations such as nonorthogonal signaling, maximum-likelihood differential detection of DPSK with block-by-block detection, and Gray coding of MDPSK.Abstract:
This article presents an extremely compact new formula for the symbol error probability in M-ary differential phase shift keying (MDPSK) that is extraordinarily similar to its counterpart for M-ary phase shift keying (MPSK). This result follows from a new form for a generic error probability associated with the phase angle between two vectors perturbed by Gaussian noise. The new form also leads to a new expression for the Marcum Q-function. As special cases, the generic error probability is noted to also contain MPSK, CPFSK, and digital FM. Finally, it is pointed out that the generic error probability simplifies the error probability expressions in other situations such as nonorthogonal signaling, maximum-likelihood differential detection of DPSK with block-by-block detection, and Gray coding of MDPSK.read more
Citations
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Journal ArticleDOI
New exponential bounds and approximations for the computation of error probability in fading channels
TL;DR: New exponential bounds for the Gaussian Q function and its inverse are presented and a quite accurate and simple approximate expression given by the sum of two exponential functions is reported for the general problem of evaluating the average error probability in fading channels.
Journal ArticleDOI
Equal-gain diversity receiver performance in wireless channels
TL;DR: A powerful frequency-domain approach is developed in which the average error-rate integral is transformed into the frequency domain, using Parseval's theorem, and integral expressions for the average symbol-error rate of an arbitrary two-dimensional signaling scheme are derived.
Journal ArticleDOI
Error rates for Nakagami-m fading multichannel reception of binary and M-ary signals
TL;DR: New closed-form formulas for the error probabilities of single and multichannel communications in Rayleigh and Nakagami-m (1960) fading are derived, providing a unified method for the derivation of exact closed- form average symbol-error probability expressions for binary and M-ary signals with L independent channel diversity reception.
Journal ArticleDOI
Analysis and optimization of switched diversity systems
TL;DR: The presented results offer a simple, generic, and useful analytical tool for the accurate performance evaluation and optimization of switched diversity systems.
References
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Book
Communication systems and techniques
TL;DR: An introductory, graduate-level look at modern communications in general and radio communications in particular, with valuable insights into the fundamental concepts underlying today's communications systems, especially wireless communications.
Journal ArticleDOI
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.
Proceedings ArticleDOI
A new, simple and exact result for calculating the probability of error for two-dimensional signal constellations
TL;DR: In this paper, a simple integral expression for calculating the exact probability of a symbol error for an arbitrary array of signal points is presented by applying it to M-ary phase shift keying (MPSK).
Journal ArticleDOI
Distribution of the Phase Angle Between Two Vectors Perturbed by Gaussian Noise
R. Pawula,S. Rice,J. Roberts +2 more
TL;DR: The probability distribution of the phase angle between two vectors perturbed by correlated Gaussian noises is studied in detail and its asymptotic behavior for large signal-to-noise for "small," "near \pi/2 ," and "large" angles is found.
Book
Elements of signal detection and estimation
TL;DR: This volume provides an introduction to signal-detection theory, a subject fundamental to the design of detectors of weak signals in the presence of random noise, and to the designs of optimal and near-optimal receivers of communication, radar, sonar and optical signals.