I have a real data of 144 points, when I perform a 144-point DFT on this data, I get $X$ with real and complex values. I want to calculate harmonics using these $X$'s.
- The $X$ and $X$, added together and divided by 144, would give me the DC component?
- And can I just use the next 71 $X$'s and their conjugates (Euler's identity), to calculate the harmonics? I believe it's $(X[i] + X^*[i])/144 $?
Sorry about that, but I have this problem to solve, I'll try and explain it and what I'm supposed to do with it. Thanks for being patient.
I have a data set of 144 points. I want to express this in terms of a DC component and it's harmonics. So, I was asked to perform a DFT operation on this and get the harmonics that would represent this data in frequency domain. I performed a 144 point DFT on this data and got 144 $X[k]$'s with real and imaginary parts. As, per my understanding these 144 $X[k]$'s ($X$ being the DC) represent the time domain signal in frequency domain, but I'm still being asked for the DC(apparently ($X+X)/2$) and the 71 harmonics, which I'm not sure how to go about.
I apologize if this still doesn't makes sense, but it's what I'm supposed to do, probably you can give me some reference where I can get such concept or anything related.