Quiz: Statistics Behind Error Analysis TIPL TI Precision Labs – ADCs

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Presentation transcript:

Quiz: Statistics Behind Error Analysis TIPL 4201 TI Precision Labs – ADCs Created by Art Kay

Quiz: Statistics Behind Error Analysis The two uncorrelated Gaussian distributions below are being added. Draw the graph for the sum of the two distributions.

Quiz: Statistics Behind Error Analysis 2. What is the statistical significance of the typical offset specification? The typical offset specification is the mean offset. The typical is the mean plus one standard deviation. However, typically the mean is near zero so typical can be approximated as one standard deviation. The typical is tested and any device that exceeds the typical value is discarded. 99.7% of devices will be inside the typical limit. When combining error sources A and B, they should be added __________. Directly (Total Error = A + B). Using Simpson’s rule Using the Adaptive Runge-Kutta Method As the square root sum of the squares (𝑇𝑜𝑡𝑎𝑙 𝐸𝑟𝑟𝑜𝑟= 𝐴 2 + 𝐵 2 )

Solutions

Quiz: Statistics Behind Error Analysis The two uncorrelated Gaussian distributions below are being added. Draw the graph for the sum of the two distributions.

Quiz: Statistics Behind Error Analysis 2. What is the statistical significance of the typical offset specification? The typical offset specification is the mean offset. The typical is the mean plus one standard deviation. However, typically the mean is near zero so typical can be approximated as one standard deviation. The typical is tested and any device that exceeds the typical value is discarded. 99.7% of devices will be inside the typical limit. When combining error sources A and B, they should be added __________. Directly (Total Error = A + B). Using Simpson’s rule Using the Adaptive Runge-Kutta Method As the square root sum of the squares (𝑻𝒐𝒕𝒂𝒍 𝑬𝒓𝒓𝒐𝒓= 𝑨 𝟐 + 𝑩 𝟐 )