New answers tagged fourier-series
2
votes
Accepted
Relationship between fourier transform and fourier series
Transform looks right, but the logic afterwards needs some correction.
$$
X(\omega) =
-i \pi A \left(e^{i \alpha } \delta \left(\omega -2 \pi f_0\right)-e^{-i \alpha } \delta \left(2 \pi f_0+\...
- 46
3
votes
Accepted
Magnitude and phase spectrum of a periodic signal
For magnitude and phase you need the complex Fourier coefficients:
$$c_n=\frac{1}{T}\int_{0}^Tx(t)e^{-j2\pi nt/T}dt\tag{1}$$
I think your Fourier series is correct, so you can directly determine them ...
- 88.9k
0
votes
What is the reason of existence of Fourier transform? (Why we use Fourier transform?)
The Taylor series attempts to model a limited piece of a function or a data series using a weighted sum of polynomials. This only works for relatively small values of x or t.
The Fourier ...
- 21
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