Joint Delay Doppler Probability Density Functions for Air-to-Air Channels

Algorithm 1

Computation of 𝑝(𝑡;𝜏,𝑓_𝑑).

(1) for  𝜏^[𝑛]∈[𝜏^min,𝜏^max]  do

(2)    Compute the parameters 𝑎_ell, 𝑏_ell and 𝜖_𝜏 of the ellipse corresponding to the delay 𝜏^[𝑛]

(3)    Use (19) or (21) to compute 𝑝(𝜙∣𝜏^[𝑛]) for the corresponding scenario

(4)    for  𝑓_𝑑^[𝑚] ∈𝑓_𝑑^min,𝑓_𝑑^max  do

(5)     Compute  𝑝𝑡;𝑓_𝑑^[𝑚]∣𝜏^[𝑛]  by numerically solving (21) for each  𝑓_𝑑^[𝑚].

(6)    end for

(7) end for