Exponential function in Excel - Fourier Transformation

Hello,

can you help me please with fourier transformation of Exponential function, please?

I have this: img31.png. I have constant K=1 and A= for example 1.

Can you please help me with function? I want to have a graph of this function.
I try to use my interest, but i get i think that is a SINUSOIDE.

Can you help me please? Thank you very much

JOHN

Suppose the values of [x] in column A from A2, the value of [a] in cell E2.
The matrix formula is then
=2/PI()*SINH($E$2*PI())*(1/(2*$E$2)+SUM(((-1)^ROW($A$1:$A$1000)/($E$2^2+ROW($A$1:$A$1000)^2))*($E$2* COS(ROW($A$1:$A$1000)*A2)-ROW($A$1:$A$1000)*SIN(ROW($A$1:$A$1000)*A2))))

PHP Code: 

=2/PI()*SINH($E$2*PI())*(1/(2*$E$2)+SUM(((-1)^ROW($A$1:$A$1000)/($E$2^2+ROW($A$1:$A$1000)^2))*($E$2* COS(ROW($A$1:$A$1000)*A2)-ROW($A$1:$A$1000)*SIN(ROW($A$1:$A$1000)*A2)))) 


Do not forget to confirm the formula with Ctrl + Shift + Enter

[k] is not a constant. It ranges from 1 to infinity.
In the formula [k] belongs to the interval [1..1000] and is ROW($A$1:$A$1000).
For greater accuracy must use higher values. Ex: ROW($A$1:$A$65000).
See de file

Best regards.