Please am stuck with the integration I kindly need assistance in solving this equation, I will really appreciate if anyone could help with the solution or a guide on what i should do
it arise during the course of real-world research from a MIMO communication point of view where the best set of Nt out of Nr antennas are selected for transmission and received by Nd antennas. N=combination of(Nr,Nt) while y=(Nt*Nd) hence N and y will be constants depending on wat values of antenna that are available hence am trying to have an analytical expression in terms of N and y
My initial suggestion is that you are going to need to either:
a) simplify your expression
b) simplify your model
c) use linear approximations for the exponentials and logarithm in the integral
d) use numerical methods.
My gut instinct would be to go for d) and write a computer program to do the heavy lifting -- but it would be a project that I expect would take me a number of weeks, months even.
updates on some work already done. Basically the equation if of the form
where
and
we have been able to integrate
within the limits of [0,t] as
I don't know if this could help in anyway in solving my problem above