This paper proposes a compensated-norm-ratio Φ
N+ algorithm to improve the separation of a submerged pulse wave in a heavy tapping artifact that is measured by two wave lengths (denoted by
IR,
R ) of SpO
2. This algorithm employs a 2×2 inverse matrix to separate the pulse wave. Parameters Φ
S and Φ
N are unknown for the inverse matrix. Φ
S and Φ
N are respectively the
R/
IR norm ratio of the pulse wave and the artifact wave for the observed signals. It is able to determineΦ Φ
S from the stable pulse wave segment. By contrast,careful estimation is necessary for Φ
N. This is because,
N is shifted from Φ
Ntrue due to the pulse wave superimposed on the artifact segment. This shift induces poor pulse wave separation. A compensation algorithm is necessary to make Φ
N closer to Φ
Ntrue. The proposed compensated-norm-ratio Φ
N+ results in better separation of the pulse wave than that obtained using Φ
N. This algorithm is also effective for case with other body movement artifact. This algorithm can not only be not be applied to two-wave pulse photometry but can be also extended to multi-wave pulse photometry.
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