Question: Harmonic Calulation Assignment A Sample Data System samples a signal at 12 samples per cycle. Samples from this system are given below in the column:
| Harmonic Calulation Assignment | |||||||
| A Sample Data System samples a signal at 12 samples per cycle. | |||||||
| Samples from this system are given below in the column: \"Sampled Values\". | |||||||
| Using the Discrete Fourier Transform (DFT), calculate the Harmonic Components from m=0 to 5 | |||||||
| Scale each harmonic to RMS | |||||||
| Compute the RMS value of the data using two different techniques, namely, the RMS Sample Formula | |||||||
| And computation from the Harmonic Components formula | |||||||
| Compute the Total Harmonic Distortion of the waveform | |||||||
| Plot the Sampled Values on an X-Y graph | |||||||
| Sample Data Set | |||||||
| Sample # | Time (Seconds) | Sample Angle in Radians | Sampled Values | ||||
| 0 | 0 | 0 | 0 | ||||
| 1 | 0.001388888889 | 0.5235987756 | 1.366025 | ||||
| 2 | 0.002777777778 | 1.047197551 | 1.732051 | ||||
| 3 | 0.004166666667 | 1.570796327 | 1 | ||||
| 4 | 0.005555555556 | 2.094395102 | 0 | ||||
| 5 | 0.006944444444 | 2.617993878 | -0.366025 | ||||
| 6 | 0.008333333333 | 3.141592654 | 0 | ||||
| 7 | 0.009722222222 | 3.665191429 | 0.366025 | ||||
| 8 | 0.01111111111 | 4.188790205 | 0 | ||||
| 9 | 0.0125 | 4.71238898 | -1 | ||||
| 10 | 0.01388888889 | 5.235987756 | -1.73205 | ||||
| 11 | 0.01527777778 | 5.759586532 | -1.36603 |
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