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MEASUREMENT



        From Figure 1, it can be seen that HbO 2 absorbs more red light   The Beer-Lambert law explains that light decays exponentially
        (600 nm) and allows more infrared light (940 nm) to pass through.   when travelling though absorptive material. This can be used
        RHb absorbs more light at infrared wavelengths, which allows   to determine the level of oxygenated haemoglobin to total
        more red light to pass through than in HbO 2.          haemoglobin.
           The most basic pulse oximeter consists of two LED (one red
        660 nm LED and one infrared (IR) 940 nm LED) and a single   The intensity of light absorbed at the diastole and systole are
        photodiode (PD) in a reflective or transmissive configuration (see   related by:
        Figure 4). The pulse oximeter will pulse the red LED and measure
        the resulting signal on the PD. Repeat this for the IR LED and
        finally with both LEDs off to get a baseline for any ambient
        external light sources. This generates a photoplethysmography   where α measures the absorption rate of light in atrial blood and
        (PPG) signal for both wavelengths.                     d2 is the AC amplitude of the PPG signal (see Figure 3). I diastole is
           The signal contains DC and AC components. The DC    equal to the DC component labelled d1.
        component is due to constant reflective matter such as skin,
        muscle, bone and venous blood. When a body is at rest and
        motion is less of a factor, the AC component comprises mainly
        of reflected light from the pulsation of artery blood. The AC
        component depends on heart rate and artery thickness, with more
        reflected or transmitted light in systolic (pump) than the dystopic
        (relaxation). During the systolic phase, blood is pumped from
        the heart, which increases atrial blood pressure. The increase in
        blood pressure expands the arteries and leads to an increase in
        atrial blood volume. This increase in blood causes an increase in
        light absorption. Blood pressure drops during the diastolic phase
        and therefore so does the absorption of light. Figure 3 shows the
        diastolic trough and systolic peaks caused by the beating heart.











                                                               Figure 3: Light attenuation through tissue.


                                                               By computing AC and DC from a PPG signal, we are able to
                                                               determine the change in absorption of light in atrial blood –α.d2
                                                               caused by blood pumping from the heart, with no contribution
                                                               from other tissue.
                                                                  The ratio of the AC component to the DC component is known
                                                               as the perfusion index, which is the ratio of the pulsating blood
                                                               flow to the nonpulsatile static blood flow. The goal of a PPG-
                                                               based heart rate or SpO 2 measurement system is to increase the
                                                               AC to DC signal ratio.

                                                               PI = AC/DC

        Figure 1: Extinction factor of light through haemoglobin.
                                                               The perfusion index for infrared and red wavelengths can be
                                                               used to calculate the ratio of ratios (RoR), which is the ratio of
                                                               PIr ed to PL ir. As the absorption of the light at a given wavelength is
                                                               proportional to the




                                                               in theory, the RoR can be substituted into the following formula to
                                                               compute SpO 2:



        Figure 2: Basic pulse oximeter circuit.



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