## ESP32-S3 fft benchmark:

| Test Name         | Size | SNR (dB) | RMSE   | Time (μs) |
|-----------------------|----------|--------------|------------|---------------|
| 1. test dl fft    | 128      | 104.9        | 0.000316   | 62            |
|                       | 256      | 107.6        | 0.000316   | 138           |
|                       | 512      | 110.5        | 0.000316   | 302           |
|                       | 1024     | 113.6        | 0.000316   | 658           |
|                       | 2048     | 116.9        | 0.000316   | 1427          |
| 2. test dl ifft   | 128      | 85.7         | 0.000316   | 82            |
|                       | 256      | 85.4         | 0.000316   | 176           |
|                       | 512      | 85.4         | 0.000316   | 380           |
|                       | 1024     | 85.4         | 0.000316   | 813           |
|                       | 2048     | 85.2         | 0.000316   | 1734          |
| 3. test dl rfft   | 128      | 101.4        | 0.000316   | 34            |
|                       | 256      | 105.3        | 0.000316   | 75            |
|                       | 512      | 108.0        | 0.000316   | 157           |
|                       | 1024     | 110.5        | 0.000316   | 352           |
|                       | 2048     | 113.9        | 0.000316   | 716           |
| 4. test dl irfft  | 128      | 85.5         | 0.000316   | 46            |
|                       | 256      | 85.9         | 0.000316   | 99            |
|                       | 512      | 84.5         | 0.000316   | 196           |
|                       | 1024     | 85.3         | 0.000316   | 434           |
|                       | 2048     | 85.4         | 0.000316   | 864           |
| 5. test dl fft s16 | 128      | 58.8         | 0.003591   | 8             |
|                       | 256      | 54.4         | 0.007583   | 16            |
|                       | 512      | 51.2         | 0.015255   | 33            |
|                       | 1024     | 48.5         | 0.030612   | 70            |
|                       | 2048     | 46.6         | 0.051513   | 3353          |
| 6. test dl ifft s16 | 128      | 50.4         | 0.001103   | 8             |
|                       | 256      | 42.5         | 0.002179   | 16            |
|                       | 512      | 43.1         | 0.002135   | 33            |
|                       | 1024     | 43.4         | 0.002261   | 70            |
|                       | 2048     | 37.9         | 0.003895   | 344           |
| 7. test dl fft hp s16 | 128      | 67.5         | 0.001742   | 30            |
|                       | 256      | 65.8         | 0.003011   | 60            |
|                       | 512      | 63.6         | 0.005801   | 122           |
|                       | 1024     | 63.7         | 0.009429   | 252           |
|                       | 2048     | 67.1         | 0.007992   | 3302          |
| 8. test dl ifft hp s16 | 128      | 69.0         | 0.000391   | 17            |
|                       | 256      | 65.0         | 0.000466   | 34            |
|                       | 512      | 64.5         | 0.000505   | 73            |
|                       | 1024     | 64.9         | 0.000526   | 153           |
|                       | 2048     | 64.4         | 0.000422   | 522           |
| 9. test dl rfft s16 | 128      | 62.5         | 0.001746   | 6             |
|                       | 256      | 61.0         | 0.003415   | 11            |
|                       | 512      | 57.9         | 0.006776   | 21            |
|                       | 1024     | 54.5         | 0.013945   | 41            |
|                       | 2048     | 51.9         | 0.027488   | 84            |
| 10. test dl irfft s16 | 128      | 60.4         | 0.000535   | 6             |
|                       | 256      | 54.5         | 0.000897   | 10            |
|                       | 512      | 51.5         | 0.000990   | 20            |
|                       | 1024     | 46.7         | 0.001790   | 41            |
|                       | 2048     | 41.7         | 0.003164   | 83            |
| 11. test dl rfft hp s16 | 128      | 68.7         | 0.000965   | 16            |
|                       | 256      | 67.4         | 0.001988   | 31            |
|                       | 512      | 67.9         | 0.002471   | 47            |
|                       | 1024     | 64.8         | 0.004735   | 106           |
|                       | 2048     | 66.2         | 0.007309   | 220           |
| 12. test dl irfft hp s16 | 128      | 67.4         | 0.000372   | 14            |
|                       | 256      | 67.4         | 0.000407   | 30            |
|                       | 512      | 66.2         | 0.000399   | 40            |
|                       | 1024     | 66.2         | 0.000439   | 109           |
|                       | 2048     | 64.4         | 0.000499   | 225           |

Generation Time: 2026-05-07