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?

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- Nov 12th 2012, 07:53 AMfobos3System of Equations with Sinc
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? - Nov 12th 2012, 09:06 PMchiroRe: System of Equations with Sinc
Hey fobos3.

Can you show us what you have tried? - Nov 13th 2012, 02:33 PMfobos3Re: System of Equations with Sinc
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.