I have the following system:
where the unknowns are and .
Can you solve such a system analytically? I can reduce it to k*sinc(...) = sinc(...) but what do I do from there?
I tried solving for A in the two equations and then equating the result. This gives you something like:
I also tried expressing the two equations in exponential form but couldn't figure out how to solve it. I am not sure if it is possible to solve the system analytically.
P.S.
This is not a homework problem and it is related to calculating the frequency and amplitude of a sine wave using two recursive DFTs.