Summary
Pseudo random binary and ternary sequences (PRBS and PRTS) have already been used to identify impulse responses of linear systems—in particular, we have shown [1,2], how decorrelation techniques allow the chromatogram of a given sample to be obtained by injecting the product following a PRBS or PRTS law. In this paper an additional difficulty is overcome by injecting in parallel two different samples onto one column, then obtaining simultaneously but separately the two chromatograms by use of numerical decorrelation. We present the theoretical justification and the result of numerical simulation in the case of a pseudo random ternary sequence injection law. A successful experiment on an actual chromatograph using a pseudo random binary sequence injection law is presented.
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Abbreviations
- N:
-
dimension of the sequencesU, V, W,\(\bar U,{\text{ }}\bar V,{\text{ }}\bar W\)
- U, V, W,\(\bar U,{\text{ }}\bar V,{\text{ }}\bar W\) :
-
vectors (N×1)
- h 1,h 2 :
-
weighted sequences (chromatograms)
- y(t),Y :
-
continuous and discretised output chromatograph signal
- T1(N×N), T2(2N×2N):
-
square matrix full of 1
- β:
-
rotating matrix operator
- αi, ti :
-
concentration and retention time of ith chemical species
References
C. Laurgeau, B. Espiau, J. Chim. Phys.9, 1143–1149 (1974).
C. Laurgeau, F. Barras, Chromatographia 8, 373 (1975).
Développement de méthodes automatisées en chromatographique gazeuse applications industrielles—thèse de Docteur Ingénieur,F. Barras, 19 avril 1977, ENSM—Nantes.
D. A. Bell, Electronics Letters2, 428 (1966).
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Laurgeau, C., Barras, F. Simultaneous analysis of two or more samples on the same chromatographic column. Chromatographia 12, 160–164 (1979). https://doi.org/10.1007/BF02314871
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DOI: https://doi.org/10.1007/BF02314871