





Introduction to Noise


Principle Review
The basic principles of NIR have been explained in detail in previous tweets. For a better understanding of this article, here we briefly review the principles of NIR here.
Functional near-infrared spectroscopy is a non-invasive method of measuring brain activity. Since oxygenated hemoglobin (HbO) and deoxyhemoglobin (HbR) have different absorption spectral frequencies, changes in the concentration of HbO and HbR can be determined from near-infrared (NIR) light (wavelengths typically 650 - 950 nm) measurements (Ferrari & Quaresima, 2012; Scholkmann et al. 2014). When the range of the light source and detector is around 3 cm. NIR light can penetrate 1-1.5 cm into the cerebral cortex, which researchers can use to study neurological processes in the brain (Fukui et al., 2003).







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brain composition
The brain consists of various tissues with different optical properties, and NIR technology is in principle designed to respond to changes in cerebral blood oxygenation by detecting changes in incoming and outgoing light, so it is necessary to study the effect of optical inhomogeneity of the head on the propagation of light through the brain (Jue & Masuda, 2013).
A cross-section of the adult head is shown in the figure. The human brain is a layered structure that is composed of the scalp, skull, dura mater, arachnoid membrane, subarachnoid space filled with cerebrospinal fluid, dura mater, gray matter and white matter. The thickness of the scalp and skull in the brain is uneven, and the surface of the brain is folded with sulci. All of these complex structures have an effect on photon migration in the brain (Jue & Masuda, 2013).







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Noise in the near infrared
In NIR data acquisition, NIR data can be written as the following equation. This mathematical model emphasizes two important facts:First the neural data is a mixture of different components introduced by the brain, the equipment, the acquisition parameters, and different noises; (and second changes in the brain may be caused by age, genes, ethnicity, disease, and other factors (e.g., stimuli, lifestyle, or environmental factors). And in short time acquisition, even with the same equipment, the interference of machine noise is greater than the physiological signals that are intended to be detected. Therefore, a deeper understanding of noise is not only beneficial for us to recognize it, but also helps us to better understand the nature of neural signals (Scholkmann et al., 2022; Zhu et al., 2023).







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near-redExternal data modeling formulas







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