7.3.2 Output Transfer Function

TheLMT01-Q1 outputs at minimum 1 pulse and a theoretical maximum 4095 pulses. Each pulse has a weight of 0.0625°C. One pulse corresponds to a temperature less than –50°C while a pulse count of 4096 corresponds to a temperature greater than 200°C. Note that the LMT01-Q1 is only ensured to operate up to 150°C. Exceeding this temperature by more than 5°C may damage the device. The accuracy of the device degrades as well when 150°C is exceeded.

Two different methods of converting the pulse count to a temperature value are discussed in this section. The first method is the least accurate and uses a first order equation, and the second method is the most accurate and uses linear interpolation of the values found in the look-up table (LUT) as described in Electrical Characteristics - TO-92/LPG Pulse Count to Temperature LUT.

The output transfer function appears to be linear and can be approximated by Equation 1:

Equation 1.

where

• PC is the Pulse Count
• Temp is the temperature reading

Table 1 shows some sample calculations using Equation 1.

The curve shown in Figure 17 shows the output transfer function using equation Equation 1 (blue line) and the look-up table (LUT) found in Electrical Characteristics - TO-92/LPG Pulse Count to Temperature LUT (red line). The LMT01-Q1 output transfer function as described by the LUT appears to be linear, but upon close inspection, it can be seen as truly not linear. To actually see the difference, the accuracy obtained by the two methods must be compared.

Figure 17. LMT01-Q1 Output Transfer Function

For more exact temperature readings the output pulse count can be converted to temperature using linear interpolation of the values found in Electrical Characteristics - TO-92/LPG Pulse Count to Temperature LUT.

The curves in Figure 18 and Figure 19, show the accuracy of typical units when using the Equation 1 and linear interpolation using Electrical Characteristics - TO-92/LPG Pulse Count to Temperature LUT, respectively. When compared, the improved performance when using the LUT linear interpolation method can clearly be seen. For a limited temperature range of 25°C to 80°C, the error shown in Figure 18 is flat, so the linear equation will provide good results. For a wide temperature range, TI recommends that linear interpolation and the LUT be used.

Figure 18. LMT01-Q1 Typical Accuracy When Using First Order Equation Equation 1 – 92 Typical Units Plotted at (VP – VN) = 2.15 V

Figure 19. LMT01-Q1 Accuracy Using Linear Interpolation of LUT Found in Electrical Characteristics - WSON/DQX Pulse Count to Temperature LUT – 92 Typical Units Plotted at (VP – VN) = 2.15 V