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Wireless Communications Principles and Practice, Second Edition by Theodore S. Rappaport

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Appendix C. Rate Variance Relationships for Shape Factor Theory

This Appendix derives the three rate variance relationships presented in Chapter 5.

Rate Variance for Complex Voltage

The power spectral density (PSD) of a baseband complex received voltage signal is related to the angular distribution of multipath power [Gan72]:

Equation C.1. 

where θ is the azimuthal direction of travel and p(·) is the angular distribution of impinging multipath power. The value kmax is the maximum wavenumber, which is equal to 2π/λ. Note that the PSD is a function of wavenumber, k, instead of frequency, ω, since multipath angles-of-arrival directly relate to spatial ...

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