Analytical approach for multipath delay spread power distribution

There is a certain relationship between the delay spread and the received signal strength of multipath waves. This paper describes the geometrical interpretation for spread delay in urban areas. An analytical approach for relative received power as a function of excess delay is discussed. Examples of measured data for power delay profiles are used in comparison with the analytical results. These examples show that the square of the ratio between the shortest time delay and the time delay is sufficient to approximate the power delay profile. This second order equation can also be used to calculate the time dispersive parameters of the channel such as the mean excess delay and RMS delay spread.