Distribution of phase angle between two Rayleigh vectors perturbed by Gaussian noise

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Distribution of phase angle between two Rayleigh vectors perturbed by Gaussian noise

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© The Institution of Electrical Engineers
Published

Two general, closed form expressions for the distribution of the phase angle between two vectors in fast Rayleigh fading and Gaussian noise are derived. These general expressions include the effect of fading as well as noise correlation and, in special cases, reduce to several previously published formulas. The convenience when applying these new formulas to evaluate the error performance of DPSK and FSK. systems is highlighted.

Inspec keywords: mobile radio systems; radiowave propagation; radiofrequency interference; frequency shift keying; phase shift keying; fading

Other keywords: DPSK; mobile radio; FSK systems; RFI; digital transmission; Gaussian noise; error performance; AWGN; noise correlation; fast Rayleigh fading; Rayleigh vectors; phase angle distribution

Subjects: Electromagnetic compatibility and interference; Radiowave propagation; Modulation and coding methods; Mobile radio systems

References

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