Shows Thomson’s F-test and corresponding reshaped multitaper estimate for the centered Willamette River data using K = 5 Slepian multitapers with NW = 4/∆t. Redo this figure using K = 5 sinusoidal...

Shows Thomson’s F-test and corresponding reshaped multitaper estimate for the centered Willamette River data using K = 5 Slepian multitapers with NW = 4/∆t. Redo this figure using K = 5 sinusoidal multitapers and then using K = 6 tapers. Comment on how well the three F-tests agree with one other.

(a) Verify

(b) Compute and plot the phase function and the squared gain function for the filter {cugu}, where {gu} and {cu} are given by, respectively, How well do these functions match up the ones corresponding to the transfer function of Equation (579a)?