Claims Analysis
Total Claims: 8
Claim 1
Independent Claim
263 words
A data processing system used in combination with a chromatography apparatus and adapted to modify one of at least two chromatograms x and y so that these chromatograms x and y can be compared with each other on the same time axis, comprising: memory means for storing data representative of said at least two chromatograms x and y; computer means coupled to the memory means; setting means coupled to the computer means for selecting one of said at least two chromatograms, i.e. y, as a reference chromatogram y and for designating at least two principal peaks y p (p=1, . . . n; n≧2); said setting means being used to also select another of said at least two chromatograms, i.e. x, as a chromatogram x to be compared with the reference chromatogram y and to designate principal peaks x p (p=1, . . . n; n≧2) of the same number as that of the designated principal peaks y p of the reference chromatogram y; the computer means operating to derive, from the retention times x i and y i (i=1, . . . n; n≧2) of said designated principal peaks x p and y p of the two chromatograms x and y, one function for converting the time axis of the retention times x i to substantially the same time axis as that of the retention times y i with a minimum estimated error; and said computer means operating to further calculate, on the basis of said derived function, the modified retention times x' j of all the peaks of the chromatograms x.
Claim 2
Dependent Claim
263 words
A data processing system used in combination with a chromatography apparatus and adapted to modify one of at least two chromatograms x and y so that these chromatograms x and y can be compared with each other on the same time axis, comprising: memory means for storing data representative of said at least two chromatograms x and y; computer means coupled to the memory means; setting means coupled to the computer means for selecting one of said at least two chromatograms, i.e. y, as a reference chromatogram y and for designating at least two principal peaks y p (p=1, . . . n; n≧2); said setting means being used to also select another of said at least two chromatograms, i.e. x, as a chromatogram x to be compared with the reference chromatogram y and to designate principal peaks x p (p=1, . . . n; n≧2) of the same number as that of the designated principal peaks y p of the reference chromatogram y; the computer means operating to derive, from the retention times x i and y i (i=1, . . . n; n≧2) of said designated principal peaks x p and y p of the two chromatograms x and y, one function for converting the time axis of the retention times x i to substantially the same time axis as that of the retention times y i with a minimum estimated error; and said computer means operating to further calculate, on the basis of said derived function, the modified retention times x' j of all the peaks of the chromatograms x.
Claim 3
Dependent Claim
65 words
A data processing system as set forth in claim 1 wherein said computer means is programmed to calculate y.sub.i =ax.sub.i +b+ξ.sub.i . . . (i=1, . . . n) where ##EQU9## then to determine coefficients a and b with ##EQU10## being minimum, and further to obtain said modified retention time x' j on the basis of a linear regression function: x' j =ax j +b.
Claim 4
Dependent Claim
133 words
A data processing system as set forth in claim 2 wherein: said setting means is adapted to cause said computer means to read out, from said memory means, retention time x i and y i (i=1, . . . , n; n≧3) of at least three principal peaks of the chromatograms x and y, respectively; and said computer means is programmed to derive said linear regression function in each interval defined by each pair of adjacent retention times x k and x k+1 (k=1 to n-1); said computer means being operative to also convert respective retention time x j of peaks in the respective intervals x k -x k+1 of said chromatogram x to modified retention times x' j by the linear regression function for the corresponding interval x k -x k+1 .
Claim 5
Dependent Claim
96 words
A data processing system as set forth in claim 1 wherein: said setting means is adapted to cause said computer means to read out, from said memory means, retention time x i and y i (i=1, . . . , n; n≧3) of at least three principal peaks of the chromatograms x and y, respectively; and said computer means is programmed to derive one function capable of converting the time axis of the retention times x i to substantially the same time axis as that of the retention times y i with a minimum estimated error.
Claim 6
Dependent Claim
39 words
A data processing system as set forth in claim 4 wherein said computer means is programmed to use, as said function, a Spline Function using, as a knot, at least one of said principal peaks of said chromatogram x.
Claim 7
Dependent Claim
31 words
A data processing system as set forth in claim 5 wherein said computer means is programmed to use all the retention times x i of said principal peaks as the knots.
Claim 8
Dependent Claim
67 words
A data processing system as set forth in claim 6 wherein said computer means is programmed to use, as said Spline Function, a natural cubic Spline Function expressed for each interval [x j-1 , x j ] as follows: ##EQU11## wherein h j =x j -x j-1 , and M j may be calculated according to the following simultaneous equations: ##EQU12## where M o =M n =0.