A Guide on Spectral Methods Applied to Discrete Data in One Dimension

Figure 17

Randomly sampled data with noise and gaps. The bold gray line in (a) is the discontinuous signal. The circles represent the sampling points, which are overlaid with some strong noise and jitter. The dashed line represents the reconstruction. In (b) the corresponding Lomb-Scargle periodogram is given. The black line is the amplitude spectrum and the dashed line indicates . The black points show the amplitude maxima, which the filter.lomb() function chose for reconstruction.

(a) Noisy input data and reconstruction

(b) Periodogram