(a) Reformulate Figure 536 so that it shows direct spectral estimates based upon the Hanning and Slepian tapers with NW = 6 and NW = 8 rather than the default and Slepian tapers with NW = 2 and NW =...

(a) Reformulate Figure 536 so that it shows direct spectral estimates based upon the Hanning and Slepian tapers with NW = 6 and NW = 8 rather than the default and Slepian tapers with NW = 2 and NW = 4. Comment on how these three new estimates compare with the ones.

(b) Generate a realization of length N = 256 from the following process, which, like the process of Equation (535b), is a special case of Equation (512b)

Where
  is a white noise process with variance
  Using both linear and decibel scales, compute and plot direct spectral estimates for the time series based upon the Hanning data taper and Slepian data tapers with NW = 1, 2 and 4. How well do these estimates indicate the presence of the two sinusoidal components in the process, and how well do they portray the background continuum?