Abstract:

The sum-of-sinusoids (SoS) method has been widely used for creating complex Gaussian processes.
Restriction of each echo’s Doppler frequency is proved, which confirms the generated processes are mutually uncorrelated
and have a part of U shaped Doppler power spectrum (DPS). An improved SoS method based on optimal
angle of arrival (AoA) is then proposed. The optimal AoA consists of a deterministic part and a random part.
This confirms that the uniform distribution of phase and the Doppler frequency meet the restrictions. With the
new method and the equivalent discrete-time model, a modified aeronautical channel model for small-scale fading
is presented. Analysis and simulation results show that the DPS and time delay power spectrum of the simulation
model as agree with the reference model.

Key words: aeronautical channel model, small-scale fading, sum-of-sinusoids