SLVAEX3 October   2020 TPS8802 , TPS8804

 

  1.   Trademarks
  2. 1Introduction
  3. 2SNR Optimization
    1. 2.1 SNR Overview
    2. 2.2 Smoke Concentration Measurement
    3. 2.3 Amplifier and LED Settings
      1. 2.3.1 Photo Amplifier Gain
      2. 2.3.2 Photo Amplifier and AMUX Speed
      3. 2.3.3 LED Current and Pulse Width
    4. 2.4 ADC Sampling and Digital Filtering
      1. 2.4.1 ADC Sampling
      2. 2.4.2 Digital Filtering
  4. 3System Modeling
    1. 3.1 Impulse Response
      1. 3.1.1 Photodiode Input Amplifier Model
      2. 3.1.2 Photodiode Gain Amplifier and AMUX Buffer Model
      3. 3.1.3 Combined Signal Chain
    2. 3.2 Noise Modeling
      1. 3.2.1 Noise Sources
      2. 3.2.2 Output Voltage Noise Model
      3. 3.2.3 ADC Quantization Noise
    3. 3.3 SNR Calculation
      1. 3.3.1 Single ADC Sample
      2. 3.3.2 Two ADC Samples
      3. 3.3.3 Multiple Base ADC Samples
      4. 3.3.4 Multiple Top ADC Samples
      5. 3.3.5 Multiple ADC Sample Simulation
  5. 4SNR Measurements
    1. 4.1 Measurement Procedure
    2. 4.2 Measurement Processing
    3. 4.3 Measurement Results
      1. 4.3.1 Varying Amplifier Speeds
      2. 4.3.2 Varying Digital Filter and ADC Timing
      3. 4.3.3 Varying LED Pulse Length
      4. 4.3.4 Varying ADC Sample Rate
      5. 4.3.5 Real and Ideal System Conditions
      6. 4.3.6 Number of Base Samples
      7. 4.3.7 ADC Resolution
  6. 5Summary
  7. 6References

2.1 SNR Overview

SNR is commonly defined as the ratio of signal power to noise power. In a smoke detector, the signal of interest is the smoke concentration, calculated from measurements of the photodiode current. Amplifying the photodiode current adds noise which makes the smoke concentration measurement fluctuate even if the actual smoke concentration is constant. Therefore, having high SNR is essential to quickly and accurately decide if the smoke concentration is at a dangerous level.

In this report, SNR is presented as the smoke measurement amplitude divided by the smoke measurement standard deviation. This metric provides the designer with the statistics of the smoke measurement. Because the smoke measurement amplitude is proportional to the smoke concentration, SNR increases with the smoke concentration. Therefore, the SNR in this report is specified at 1 nA photodiode current. The conversion from smoke concentration to photodiode current depends on the LED, photodiode, and chamber geometry. In general, the photodiode current is proportional to the LED current. To calculate the SNR at a different current, multiply the SNR by the new current and divide by 1 nA.