## ESP32-S3 fft benchmark:

| Test Name         | Size | SNR (dB) | RMSE   | Time (μs) |
|-----------------------|----------|--------------|------------|---------------|
| 1. test dl fft    | 128      | 105          | 0.000316   | 61            |
|                       | 256      | 108          | 0.000316   | 136           |
|                       | 512      | 111          | 0.000316   | 299           |
|                       | 1024     | 114          | 0.000316   | 653           |
|                       | 2048     | 117          | 0.000316   | 1413          |
| 2. test dl ifft   | 128      | 85.7         | 0.000316   | 80            |
|                       | 256      | 85.4         | 0.000316   | 175           |
|                       | 512      | 85.4         | 0.000316   | 375           |
|                       | 1024     | 85.4         | 0.000316   | 807           |
|                       | 2048     | 85.2         | 0.000316   | 1721          |
| 3. test dl rfft   | 128      | 101          | 0.000316   | 34            |
|                       | 256      | 105          | 0.000316   | 73            |
|                       | 512      | 108          | 0.000316   | 156           |
|                       | 1024     | 110          | 0.000316   | 347           |
|                       | 2048     | 114          | 0.000316   | 714           |
| 4. test dl irfft  | 128      | 85.5         | 0.000316   | 47            |
|                       | 256      | 85.9         | 0.000316   | 97            |
|                       | 512      | 84.5         | 0.000316   | 197           |
|                       | 1024     | 85.3         | 0.000316   | 432           |
|                       | 2048     | 85.4         | 0.000316   | 868           |
| 5. test dl fft s16 | 128      | 65.9         | 0.001719   | 131           |
|                       | 256      | 62.0         | 0.003524   | 289           |
|                       | 512      | 59.2         | 0.006614   | 633           |
|                       | 1024     | 56.8         | 0.013190   | 1374          |
|                       | 2048     | 53.7         | 0.026223   | 2966          |
| 6. test dl ifft s16 | 128      | 59.8         | 0.000527   | 133           |
|                       | 256      | 52.2         | 0.000902   | 293           |
|                       | 512      | 51.4         | 0.000917   | 640           |
|                       | 1024     | 51.1         | 0.000960   | 1387          |
|                       | 2048     | 45.7         | 0.001737   | 2992          |
| 7. test dl fft hp s16 | 128      | 76.1         | 0.000621   | 189           |
|                       | 256      | 73.6         | 0.000975   | 424           |
|                       | 512      | 72.6         | 0.001546   | 914           |
|                       | 1024     | 73.0         | 0.002084   | 2023          |
|                       | 2048     | 69.9         | 0.004387   | 4322          |
| 8. test dl ifft hp s16 | 128      | 72.6         | 0.000327   | 190           |
|                       | 256      | 71.5         | 0.000328   | 427           |
|                       | 512      | 68.9         | 0.000334   | 920           |
|                       | 1024     | 68.9         | 0.000335   | 2036          |
|                       | 2048     | 67.8         | 0.000345   | 4349          |
| 9. test dl rfft s16 | 128      | 63.8         | 0.001403   | 70            |
|                       | 256      | 60.7         | 0.002885   | 152           |
|                       | 512      | 58.2         | 0.005433   | 331           |
|                       | 1024     | 54.5         | 0.011284   | 717           |
|                       | 2048     | 51.9         | 0.022304   | 1542          |
| 10. test dl irfft s16 | 128      | 57.8         | 0.000596   | 70            |
|                       | 256      | 52.2         | 0.000937   | 153           |
|                       | 512      | 50.2         | 0.000984   | 334           |
|                       | 1024     | 45.6         | 0.001740   | 720           |
|                       | 2048     | 40.2         | 0.003298   | 1547          |
| 11. test dl rfft hp s16 | 128      | 75.7         | 0.000464   | 98            |
|                       | 256      | 74.2         | 0.000730   | 210           |
|                       | 512      | 72.7         | 0.001103   | 466           |
|                       | 1024     | 73.0         | 0.001432   | 998           |
|                       | 2048     | 70.3         | 0.002952   | 2190          |
| 12. test dl irfft hp s16 | 128      | 72.8         | 0.000324   | 98            |
|                       | 256      | 71.1         | 0.000330   | 210           |
|                       | 512      | 67.8         | 0.000338   | 468           |
|                       | 1024     | 69.5         | 0.000335   | 1001          |
|                       | 2048     | 67.4         | 0.000346   | 2196          |