Nonuniform sampling

In practice, this simple formula will hardly ever work, especially if the free energy changes appreciably with . Consider, for example, two states of the systems, , and j such that A,1 f <) - AA( j) = 5/, BT. Then, on average, the former state is sampled only seven times for every 1,000 configurations sampled from the latter state. Such nonuniform sampling is undesirable, as it leads to a considerable loss of statistical accuracy. For the free energy profile shown in Fig. 3.1, transitions between... 

The first of these two methods has the important advantage that measurements of the actual physical properties of the fluids are made and used to interpret the heat transfer data. It sometimes has the important practical disadvantage that such measurements on dilute suspensions are difficult to make in view of the settling tendency of the solid phase to leave nonuniform samples. This difficulty has perhaps been completely overcome in a device described by Orr and DallaValle (05). Their viscometer is shown in Fig. 13 and described in Section VI. 

For nonuniform samples containing different HTSC phases a set of maxima is observed. 

F. Mori and J. J. Di Stephano III, Optimal nonuniform sampling interval and test-input design for identification of physiological systems from very limited data. IEEE Trans Automatic Control AC-24(6) 893-900 (1979). 

The loss of these aromatic hydrocarbons may not be representative of the weathering of all the discharged oil because of varying slick thickness and nonuniform sample collection. However, the curves show the maximum time for the oil to become depleted of these constituents, because the oil samples were collected from the thickest parts of the slicks. 

Bretthorst GL (2001) Nonuniform sampling bandwidth and aliasing. In Rychert J, Erickson G, Smith CR (eds) Maximum entropy and Bayesian methods in science and engineering. 

Bretthorst GL (2008) Nonuniform sampling bandwidth and aliasing. Concepts Magn Reson... 

Maciejewski MW, Qui HZ, Rujan I, Mobli M, Hoch JC (2009) Nonuniform sampling and spectral aliasing. J Magn Reson 199 88-93... 

D. Rovnyak, M. Sarcone, Z. Jiang, Sensitivity enhancement for maximally resolved two-dimensional NMR by nonuniform sampling, Magn. Reson. Chem. 49 (2011) 483. 

---