Calculate absolute absolute band power and band aggregation as well as relative band power and aggregation

```
power_eeg(
power_spectrum,
freq_min = 0.8,
freq_max = 4,
num_sec_w = 5,
aggreg_level = 6
)
```

power_spectrum | matrix containing the square of the Fourier coefficients for an EEG data set. Each column corresponds to a 5 second interval window. Each column corresponds to a frequency. Lowest frequency is 1/num_sec_w, typically 0.2Hz |
---|---|

freq_min | minimum frequency defining the frequency band of interest |

freq_max | maximum frequency defining the frequency band of interest |

num_sec_w | number of seconds in a time window used to obtain the Fourier coefficients. Typically, this number is 5 |

aggreg_level | number of 5 second intervals used to aggregate power. Typically, this number is 6 to ensure a 30 second interval window (standard in EEG analysis) |

List containing the elements: - absolute_band_power: Vector containing the absolute power in the frequency band defined by freq_min, freq_max. Each entry corresponds to a time window of length num_sec_w in seconds in the original EEG signal

- absolute_band_aggreg: Vector containing the absolute power in the frequency band defined by freq_min, freq_max. The difference from absolute_band_power is that this aggregates power in a number of aggreg_level adjacent intervals of length num_sec_w

- relative_band_power: Vector containing the relative power in the frequency band defined by freq_min, freq_max. The difference from absolute_band_power is that this is expressed as a fraction of the total power in all frequencies

- relative_band_aggreg: Vector containing the relative power in the frequency band defined by freq_min, freq_max. The difference from relative_band_power is that this aggregates power in a number of aggreg_level adjacent intervals of length num_sec_w