Discrete Fourier Transform Calculator
Compute X[k] = Σ x[n] · e^(−j2πkn/N) for any sequence up to 64 points. Shows DFT table, magnitude/phase spectra, and the DFT matrix for N ≤ 8.
Formula: X[k] = Σ x[n] · e^(−j2πkn/N), k = 0…N−1
N = 8 points (max 64)
| k | Re(X[k]) | Im(X[k]) | |X[k]| | ∠X[k] (°) |
|---|---|---|---|---|
| 0 | 1.0000 | 0.0000 | 1.0000 | 0.00 |
| 1 | 1.0000 | 0.0000 | 1.0000 | 0.00 |
| 2 | 1.0000 | 0.0000 | 1.0000 | 0.00 |
| 3 | 1.0000 | 0.0000 | 1.0000 | 0.00 |
| 4 | 1.0000 | 0.0000 | 1.0000 | 0.00 |
| 5 | 1.0000 | 0.0000 | 1.0000 | 0.00 |
| 6 | 1.0000 | 0.0000 | 1.0000 | 0.00 |
| 7 | 1.0000 | 0.0000 | 1.0000 | 0.00 |
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