Of course, being the remanent disturbance in the vector magnetic measurements mainly due to a nonlinear and chaotic response of the VFM to an external driving process, the task to derive a proper correction algorithm will prove to be very complicated.
As such example presented above is somewhat intuitive for the particular case of a Gaussian driving process, what can be said about larger classes of driving processes is of interest.
The installation procedure commonly involves a pile driving process which can last up to several hours depending upon pile dimensions, soil conditions and input energy of the hydraulic hammer.
However, in order to guarantee independence of vectors u k,u k−1,… we have to impose a second condition on the driving process: Driving process assumptions (A1b): Assume the driving process u k being generated by a linearly filtered process x k as described above.
The significance of evolution as an important driving process of range expansions is currently recognized by both empirical (e.g. Thomas et al. 2001; Phillips et al. 2006, 2008; Léotard et al. 2009) and theoretical work (e.g. Garcia-Ramos and Rodriguez 2002; Travis and Dytham 2002).
The interpenetration is a conformational entropy driving process, and takes a half time for the lentitude period, which regards just 15% of total free energy difference.
Note that the filter is now being formulated in terms of a complex-valued driving process f k =F x k even though x k ∈IR M×1.
In this paper, the classic stochastic approaches from Horowitz and Senne [9] and Feuer and Weinstein [10] are pursued and extended in numerous directions, relying on a general MA driving process similar to that proposed in [19, 20].
For a real-valued statistically white driving process, an exact bound without Gershgorin's theorem can be computed, leading to 0
