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Electrical Engineering Questions and Answers November 01, 2019

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Describe methods of improving the displacement resolution and the velocity resolution in an encoder. An incremental encoder disk has 5000 windows. The word size of the output data is 12 bits. What is the angular (displacement) resolution of the device? Assume that quadrature signals are available but that no interpolation is used.

A threeaxis control system for inspecting individual semiconductor wafers is shown in figure below. This system uses a DC motor to drive X axis to the desired position. The goal is to achieve smooth, accurate movement in X axis. Zaxis motor xaxis motor wafer yaxis motor To calibrate the DC motor, the change in angular velocity of the shaft

Linear functions of images. In this problem we consider several linear functions of a monochrome image with Nx N pixels. To keep the matrices small enough to work out by hand, we will consider the case with N 3 (which would hardly qualify as an image). We represent a 3 x 3 image as a 9vector using the ordering of pixels shown below. 147 258 369
Linear functions of images. In this problem we con

1)- A nominally 100-0 RTD (OC) following Table below is inserted into a bridge like Figure below. R2 is adjusted to account for the initial lead resistances and give a zero-voltage output at Oc. The supply voltage is 2 V. What will be the voltage output at 390C if (a) the lead-wire resistance is neglected? (b) the lead-wire resistance is 2 O?

TABLE 9.3 Platinum RTD RVersus T (U.S. Calibration) T (C) R(N) T (C) R(N) T (C) R(N) 139.16 143.01 213.92 217.54 300 59.57 63.68 100 110 100 90 310 146.85 221.14 320 330 80 67.78 120 70 71.85 130 150.68 224.74 60 75.91 140 154.49 340 228.32 79.96 83.99 150 350 231.89 158.29 162.08 50 40 160 360 235.44 30 88.01 170 165.86 370 238.99 20 92.02 180

Two random variables X and Y have a joint PDF fX,Y(X, y) that is equal to a constant K in the shaded region shown in Figure, and is equal to zero elsewhere. (a) (i) Find K (ii) Make a labeled sketch of the marginal PDF fY(y) (i) Make a labeled sketch of the conditional PDF frx(y ) (b) Find the MMSE estimate of Y given that X x has been observed,

Suppose that we want to estimate a random variable Y N(0, 1) based on observation of part of the following random variables X1 Y W1, X2 0.5Y W2, X3 5Y W3 (1) where W1 N(0, 1), W2 N(0, 1), and W3 N(0, 1) Y, W1, W2, and W3 are independent. (a) Obtain the MMSE estimator of Y given observation of X1 and X2. Obtain the MSE of this estimator.