The invention discloses a
wireless communication
power control method based on a fractional calculus theory, which comprises the following steps of: firstly, constructing a continuous time
stochastic differential equation channel model driven by a symmetric-stable Levy process, and respectively depicting heavy
tail jump behaviors in long-term
path loss and short-term multipath
fading; then, on the basis of the channel model, a generalized Riesz fractional order derivative operator is introduced, a class of fractional order HJB (FHJB) control equations with non-local operators are deduced under the
dynamic programming principle, and the fractional order HJB (FHJB) control equations are used for describing an optimal
power control strategy under the infinite variance interference condition; and finally, in a multi-base-
station multi-user same-frequency interference scene, constructing a fractional order FHJB
power control solution framework, obtaining an optimal transmitting power distribution strategy by using a value function iteration method, and verifying the robustness and
communication quality assurance capability of the optimal transmitting power distribution strategy under a jump
fading channel through numerical
simulation. According to the invention,
adaptive control of the transmitting power in a non-stationary and heavy-tailed
fading environment can be realized.