Application of Charles D. Prater and James Wei

415 F.2d 1393, 56 C.C.P.A. 1381
CourtCourt of Customs and Patent Appeals
DecidedAugust 14, 1969
DocketPatent Appeal 7987
StatusPublished
Cited by100 cases

This text of 415 F.2d 1393 (Application of Charles D. Prater and James Wei) is published on Counsel Stack Legal Research, covering Court of Customs and Patent Appeals primary law. Counsel Stack provides free access to over 12 million legal documents including statutes, case law, regulations, and constitutions.

Bluebook
Application of Charles D. Prater and James Wei, 415 F.2d 1393, 56 C.C.P.A. 1381 (ccpa 1969).

Opinions

BALDWIN, Judge.

This appeal was originally argued1 before this court2 on May 9, 1968, and decided3 on November 20, 1968. On petition of the Commissioner of Patents, a rehearing was granted by this court4 on January 16, 1969, under the provisions of Rule 7 of this court. Briefs [1395]*1395were filed,5 and the case was reargued6 before this court7 on March 3, 1969. This supersedes the decision and opinion of November 20, 1968, although various portions of the latter are repeated herein without specific reference thereto.

This appeal is from the Patent Office Board of Appeals decision affirming the examiner’s rejection of claims 1, 6-10, 12, and 17-21, all of the claims in appellants’ application,8 based solely upon considerations, of law and statutory construction.9 No prior art references have been cited.

THE INVENTION

The invention includes both a method 10 and apparatus11 for the processing, or analysis, of conventionally obtained spectrographic data to produce a quantitative spectrographic analysis of a qualitatively-known mixture, for example a mixture of gases, by which the unknown component concentrations may be determined with minimum error. The raw spectrographic data is conventionally obtained in the form of a spectrogram, typically a continuous trace having a plurality of peaks. By conventional techniques, there may be derived for each peak an independent first order linear algebraic equation relating the peak height to the unknown component concentrations. Typically however, there are more peaks from which equations may be derived than are required to solve for the unknown component concentrations ; that is, a set of equations, greater in number than the number of components, may be derived from the spectrogram.12 From that set, any subset of equations, equal in number to the number of components, may be selected13 [1396]*1396to solve for the concentrations.14 The selected subset of equations may then be conventionally solved to produce a quantitative analysis.

Appellants have made a discovery which lies at the heart of their invention. Appellants have discovered: (1) that the different subsets of equations result in varying degrees of undesired “error amplification” in transforming the spectrographic data involving peak heights to the desired concentrations;15 (2) that there exists a certain relationship indicative of such error amplification; and (3) that that relationship is related to, and may be expressed in terms of, the determinants of the subsets of equations, the determinant of largest magnitude indicating the subset of equations involving least error amplification. “As far as this record shows, this discovery was new and unobvious.”16 Prior to appellants’ work, there was no systematic method for, or means of, selecting the subset of equations generating least error amplification.

Thus, based on their discovery, appellants have invented a method, within the otherwise conventional spectral analysis method, for selecting the optimum peaks providing that particular subset of equations least susceptible to error amplification. The essence of the method is finding the subset of equations having the largest determinant amongst all the possible subsets that might be chosen. Applicants have also disclosed in detail a machine 17 for carrying out their [1397]*1397invention. While the disclosed method and apparatus are described by reference to a special-purpose analog device, such device is visualized by appellants as but one device having the inherent capabilities to perform the desired functions; and it is disclosed that a general-purpose digital computer might also be used.18

Claims 9 and 17 are typical of the method claims and read:

9. In mass spectrographic analysis where, from a given sample of material there is generated a spectrum function having peaks therein spaced along a mass scale with respect to which the relationship between concentration, contribution factor of each of the m constituents of the mixture and the magnitude of each of the n peaks in said spectrum is represented by a set of m linear algebraic equations and where n is an integer greater than m, the method of selecting for analysis a set of m peaks least susceptible to error in concentration determination which comprises
dividing each said contributing factor for each peak by a normalizing function,
successively generating a determinant function for each said set of peaks,
successively generating output indications of the magnitudes of said determinant functions, and
selecting therefrom the determinant function of greatest magnitude for identification of said peaks least susceptible to error. [Emphasis added.]
17. The method of determining with minimum error from the spectra of spectral analysis the concentration of the components of a mixture where the components are known and the concentration-determining peaks of the spectral analysis are present in number exceeding the number of said components, which comprises
generating physical representations of the magnitudes of the coefficients of simultaneous linear equations defining the concentrations of said components as functions of the heights of said peaks of said spectral analysis,
generating from said physical representations of the magnitudes of said coefficients the magnitude of the determinant of a plurality of sets of said simultaneous equations, the number of equations of each of said sets being equal in number to the number of said components,
comparing said physical representations of the magnitudes of said determinants of said sets of equations for identification of the set of said equations whose determinant has the largest magnitude, and
;generating physical representations of the concentration of each said component of said mixture from said physical representations of the magnitudes of said coefficients of said set of simultaneous equations having said determinant of largest magnitude and from said heights of said peaks included in said last-named set of equations. [Emphasis added.]

Claim 10, the only machine claim, reads:

10. In spectrographic analysis where, from a given mixture of m constituents, spectral functions having peaks therein are obtained and wherein the relationships between the concentrations of said constituents and the peaks in said function correspond to relationships in a set of linear sim-
[1398]*1398ultaneous equations, the system, for selecting from said functions the combination of m of the n peaks therein

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415 F.2d 1393, 56 C.C.P.A. 1381, Counsel Stack Legal Research, https://law.counselstack.com/opinion/application-of-charles-d-prater-and-james-wei-ccpa-1969.