To avoid modeling the physical characteristics of wheel encoders such the square wave outputs, it is desirable to generate encoder readings based on probabilities. For this case, the wheel speed estimated by the encoder will be the true speed value with noise added according to some probability distribution function to represent the uncertainty associated with the sensors. Propose a suitable probability distribution function for generating encoder estimates from the actual velocity values. Clearly state all assumptions.

Question

Mathematics

Taliyah Kane

29 September, 16:37

To avoid modeling the physical characteristics of wheel encoders such the square wave outputs, it is desirable to generate encoder readings based on probabilities. For this case, the wheel speed estimated by the encoder will be the true speed value with noise added according to some probability distribution function to represent the uncertainty associated with the sensors. Propose a suitable probability distribution function for generating encoder estimates from the actual velocity values. Clearly state all assumptions.

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Isiah Kim · Answer 1

The probability distribution is Normal continuous

Step-by-step explanation:

The basic idea is that velocity values have different noise level and an important thing regarding continuous probability distributions is that the probability of the random variable is equal to a specific outcome is 0

In other words, is practically impossible that one value of velocity could be the same as others.