Analytical envelope correlation and spectrum of maximal-ratio combined fading signals

TitleAnalytical envelope correlation and spectrum of maximal-ratio combined fading signals
Publication TypeJournal Article
Year of Publication2005
AuthorsIskander, C. - D., and P. T. Mathiopoulos
JournalVehicular Technology, IEEE Transactions on
Pagination399 - 404
Date Publishedjan.
Keywordsanalytical envelope correlation, diversity reception, Gaussian distribution, land-mobile fading emulator, maximal-ratio combined fading signal, mobile radio, multidimensional Gaussian distribution, Rayleigh channels, Rayleigh fading channel, Rician channels, Rician fading channel

Using results from the theory of multidimensional Gaussian distributions, we provide closed-form or infinite series expressions for the envelope autocorrelation function of the output of a maximal-ratio combiner, for Rayleigh, Nakagami, and Rician fading. These expressions generalize known analytical results obtained for the case of no diversity. The power spectrum of the combined envelope is also obtained for Rayleigh and Nakagami fading. The validity of the analytical approach is verified using computer simulation results obtained with a land-mobile fading emulator. It is observed that, for the land-mobile radio channel, the use of diversity slightly increases the time correlation between the receiver inputs, but in a nonuniform manner across the range of time lags.


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