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Comments on the residual bilinearization method
Author(s) -
Wang Yongdong,
Borgen Odd S.,
Kowalski Bruce R.
Publication year - 1993
Publication title -
journal of chemometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.47
H-Index - 92
eISSN - 1099-128X
pISSN - 0886-9383
DOI - 10.1002/cem.1180070508
Subject(s) - bilinear interpolation , residual , rank (graph theory) , analyte , calibration , bilinear transform , mathematics , computer science , algorithm , statistics , chromatography , chemistry , combinatorics , bandwidth (computing) , digital filter , computer network
Through theoretical analysis and computer simulation, this short communication comments on the residual bilinearization (RBL) method and compares it with non‐bilinear rank annihilation (NBRA) for the treatment of second‐order calibration with non‐bilinear data. It is found that these two methods are mathematically equivalent but have different noise propagation properties. The second‐order advantage, namely quantitation in the presence of unknown interferences, can be carried over to non‐bilinear data only if there exists a net analyte rank (NAR) for the analyte of interest.