Table 1 Parameter descriptions and corresponding values.
Symbol | Description | Value |
---|---|---|
Fs | Sampling frequency | 1000 Hz |
t | Time vector (duration) | 0 to 2 s |
f | Fundamental frequency of the original signal | 50 Hz |
Harmonic coefficients | [1, 2, 3, 5, 7, 11, 13] | |
Noise | Additive white Gaussian noise amplitude | 0.3 |
Clean Signal | Sum of fundamental and harmonic signals | Fundamental (50 Hz), up to 13th Harmonic |
fc | Cut-off frequency for low-pass filter | 700 Hz (to include up to the 13th harmonic) |
Filter Order | Order of the Butterworth low-pass filter | 4th |
Band Width | Frequency band width used to detect harmonics | 5 Hz |
Energy Before | Energy in harmonic bands before processing | Computed for each harmonic frequency (1st to 13th) |
Energy After | Energy in harmonic bands after processing | Computed for each harmonic frequency (1st to 13th) |
Threshold | Energy detection threshold for missing harmonics | 0.1 * max(energy Before) |
Harmonic Frequencies | Harmonic frequencies for analysis | [50 Hz, 100 Hz, 150 Hz, 250 Hz, 350 Hz, 550 Hz, 650 Hz] |