1) Discrete Wavelet Transforms (DWT)

Click on the ‘DWT’ tab,

The first table of results gives the results of the DWT analysis for the sample time series shown in the graphs at the top of the tab, comparing to the true values of the period, amplitude, and peak location for that time series. The period is estimated as the mean value between peaks of the circadian component, the amplitude is estimated as the mean height of those peaks, and the peak location is the circular mean of the peak times.

The second table shows the collated results for the entire set of samples. The SD of the period indicates how variable the period estimates were about the mean period estimate. Similarly, the circular SD of the peak time indicates how variable the peak time estimates were. Because the peak time estimate depends on how accurate the period estimate is, the error can compound with the peak time estimate tending to have a larger error than the period estimate.

Scroll down and click on the link labeled ‘What is the discrete wavelet transform and how can it be used?’ A text window should pop up to give you some background information on the DWT.

After reading the information, answer these questions to check your understanding of DWT: