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### fourier phase/amp

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```Hello,
Probably a simple question for fourier-experts, but I am not familiar with it and have troubles with finding/understanding the different formulas..

How to calculate the amplitudes (a0/ak)/phase shift of the different cosine waves to reconstruct a signal based on the principal FFT components (1:k) with the following formula?

Y = a0 + ak*cos(2*pi*k*t+phase)

Thanks a lot,
Ruben
```
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```"Ruben" <ruben.vandekerchove@ugent.be> wrote in message <iciq5v\$kpo\$1@fred.mathworks.com>...
> Hello,
> Probably a simple question for fourier-experts, but I am not familiar with it and have troubles with finding/understanding the different formulas..
>
> How to calculate the amplitudes (a0/ak)/phase shift of the different cosine waves to reconstruct a signal based on the principal FFT components (1:k) with the following formula?
>
> Y = a0 + ak*cos(2*pi*k*t+phase)
>
> Thanks a lot,
> Ruben

Hi Ruben, the complex-valued DFT coefficients contain the amplitude and phase information needed for signal reconstruction.

Wayne
```
 0