Linear filters derivatives

Other modifications are possible to the same basic approach of seeking a filter that is optimum in the sense of least mean-square error. Backus and Gilbert (1970), for example, derive a linear filter by minimizing a sum of terms in which noise and resolution criteria are separately weighted. Frieden (1975) discusses variations of this technique. 

The data of Table I are derived from early time radiochemical data reported by Stevenson (5). The linearity of the radionuclide ratios was first pointed out in that report. The aerial filter samples were taken at successively later times, 1 and 2, below the reported cloud base, and 3, 4, and 5 in the cloud. The tabulated values of rA correspond to atom ratio of isotope A to an arbitrary refractory isotope normalized by dividing by the atom ratio in which the two species were formed. Refractory species include the isotopes of the rare earths Eu and Tb as well as 45Ca, 89Zr, Sc, and others produced by neutron reactions on stable isotopes. The tabulation has been limited to fission product species. However, the... 

Raji cells, a latently infected cell line derived from Burkitt s lymphoma, contain constant EBV genome copy numbers (60 copies/cell). One can construct a standard linear curve by using various amounts of Raji cell DNA attached to nitrocellulose filters and hybridizing to the EBV cRNA probe as described above. EBV genome copy numbers can then be calculated, based on the net hybridized counts from the same amount of itaji DNA and drug-treated P3HR-1(LS) DNA. 

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