4. Consider a system with a sensor that measures position y(t). We want to use this sensor to estimate the velocity v(t)

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4 Consider A System With A Sensor That Measures Position Y T We Want To Use This Sensor To Estimate The Velocity V T 1 (29.54 KiB) Viewed 26 times

4. Consider a system with a sensor that measures position y(t). We want to use this sensor to estimate the velocity v(t) = y(t). (a) What is the transfer function from the measured position y(t) to the computed velocity vi(t) = y(t)? (b) Instead, we can estimate velocity using the numerical derivative y(t) - y(t - At) 02(t) where At = 0.1. What is the transfer function from the measured position y(t) to the computed velocity v(t)? (e) Use MATLAB to plot the Bode plot of these transfer functions. Which approach is less susceptible to noise? How could you improve noise rejection?