Closed-form generalized power correlation coefficient of the Hoyt fading signal

• Published in: IEEE communications letters Vol. 10; no. 2; pp. 94 - 96
• Main Authors: Mendes, J.R., Yacoub, M.D., Fraidenraich, G.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-02-2006; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Approximation; Coherence; Computer simulation; Correlation coefficients; Exact sciences and technology; Exact solutions; Fading; Gaussian processes; Mathematical analysis; Mathematical model; Mathematical models; Nakagami distribution; Quadratures; Rayleigh channels; Signal processing; Statistical distributions; Statistics; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Wireless communication; Fading channels; Correlation coefficient; Hoyt distribution; fading channel; power statistics; Statistical model; Wireless telecommunication
• ISSN: 1089-7798; 1558-2558
• DOI: 10.1109/LCOMM.2006.02009

Exact, closed-form and general expressions of the marginal and joint moments as well as-of the correlation coefficient of the instantaneous powers of two Hoyt (Nakagami-q) signals are derived. All provided statistics are expressed as finite sums of simple functions of the model parameters. The model allows for environments where the variances of the quadrature components of a signal are different from their counterparts of the other signal. Some numerical results illustrate the generalized power correlation coefficient provided in this work, simulations support the theoretical results, and an approximation to the envelope correlation coefficient of the Hoyt Model is proposed