A signal starts at point X. As it travels to point Y, it loses 8 dB....
A signal starts at point X. As it travels to point Y, it loses 8 dB. At point Y, the signal is boosted by 20 dB. As the signal travels to point Z, it loses 9 dB. a) What is the dB gain/loss of the signal at point Z? (Show your detail calculation) b) If the the signal started at point X with a strength of 100 watts, what would be the power level of the signal at point Z?
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A signal starts at point X. As it travels to point Y, it loses 8
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Problem 8 Communication Link: Gain & Loss (14 points) You are given the receiver block as...
Problem 8 Communication Link: Gain & Loss (14 points) You are given the receiver block as schematically shown below. It consists of a receiving antenna which delivers a signal to a bandpass filter. The antenna feed has a loss of -1.15 dB and the filter's loss is -2.4 dB. The filter's output drives an amplifier with gain of +40.7 dB and this RF signal is input to a mixer which performs a frequency 1translation to an IF signal (but the...
1. Suppose log10(x) = 25. Calculate log2 (x) by calculating x and then calculating log2 (x)....
1. Suppose log10(x) = 25. Calculate log2 (x) by calculating x and then calculating log2 (x). Be sure to show the instructions you gave to R, as well as the value of x and the final result. 2. Find log2 (x), as in (1) without calculating x, by multiplying by something. 3. Suppose log2 (x) = 25. Calculate log10(x) for y = 25 by calculating x and then calculating log10(x). Be sure to show the instructions you gave to R,...
Determine the vector-function for an ellipse whose center is (2, −3), has an x-radius of 2, a y-radius of 4, starts at the point (2, −7), and travels in the counter-clockwise direction. What is the re...
Determine the vector-function for an ellipse whose center is (2, −3), has an x-radius of 2, a y-radius of 4, starts at the point (2, −7), and travels in the counter-clockwise direction. What is the rectangular equation for this ellipse? Sketch the ellipse
4. (8 pts.) The level curves of z = = f (x, y) are given along...
4. (8 pts.) The level curves of z = = f (x, y) are given along with the constraint curve g(x, y)= 8 9(x, y) = 8 40 50 60 70 0 30 20 10 a. Maximize and minimize f on the constraint. b. Label the point where the maximum occurs as A and the point where the minimum occurs as B. c. Sketch in the approximate vectors Vf and Vg at the points A and B.
Designing a High speed Wireless Data Link Line of Sight Link Budget Analysis Several major factors that can impact...
Designing a High speed Wireless Data Link Line of Sight Link Budget Analysis Several major factors that can impact the performance of a radio system are Available/permitted output power e Bandwidth, . Receiver sensitivity Antenna gains In this case study, the students will be required to calculate the link budget for a LOS Wireless link. Read through the following to understand some of the aspects and elements that need to be considered when calculating a Link Budget. If the estimated/calculated...
(8 points) The temperature at a point (x, y, z) is given by T(x, y, z)...
(8 points) The temperature at a point (x, y, z) is given by T(x, y, z) = 1300e-x-2y-2? where T is measured in °C and x, y, and z in meters. 1. Find the rate of change of the temperature at the point P(2, -1, 2) in the direction toward the point Q(3,-3,3). Answer: Dp S(2.-1, 2) = 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:
8) a) About how much will f(x, y, z) = xy3z2 change if the point (x,y,z)...
8) a) About how much will f(x, y, z) = xy3z2 change if the point (x,y,z) moves from (3,-7,-6) a distance of ds = 0.5 units in the direction of 2ỉ+ 2j - K ? b) Find the maximum change in f(x,y,z) in moving 0.5 units away in any direction and indicated in what direction this occurs.
8) a) About how much will f(x,y,z) = xy?z? change if the point (x,y,z) moves from...
8) a) About how much will f(x,y,z) = xy?z? change if the point (x,y,z) moves from (3.-7.-6) a distance of ds = 0.5 units in the direction of 21 +27 - K? b) Find the maximum change in f(x,y,z) in moving 0.5 units away in any direction, and indicated in what direction this occurs.
11. Point P(4,2,3) is on one of the level surfaces of g(x, y, z) = e*+4xy”....
11. Point P(4,2,3) is on one of the level surfaces of g(x, y, z) = e*+4xy”. Write an equation of the plane tangent to this surface at point P. a)5(x-4) - 7(y-2) + 6(2-3) = 0 b)-8(x-4)+12(y-2) - 5(2-3) = 0 c)9(x-4) + 4(y-2) - 5(2-3) - 0 d)16(x-4) + 64(y-2)+(2-3) -0 e) none of these
Question 8 Let f(x, y) = ln(x + 2y). What is the maximum rate of change...
Question 8 Let f(x, y) = ln(x + 2y). What is the maximum rate of change of fat P(1,0)? Formulas: The maximum rate of change of f at P(20, yo) is | Vf(x0,yo) = V(fx (30, yo))2 + (fy(20, yo))? The gradient of fis f(x,y) = (fa(z,y), fy (z,y)) and substitute * = 0, y = yo into V f(a,y) to get f(go,yo) of f at the point P(0.yo)
Problem 8 Communication Link: Gain & Loss (14 points) You are given the receiver block as schematically shown below. It consists of a receiving antenna which delivers a signal to a bandpass filter. The antenna feed has a loss of -1.15 dB and the filter's loss is -2.4 dB. The filter's output drives an amplifier with gain of +40.7 dB and this RF signal is input to a mixer which performs a frequency 1translation to an IF signal (but the...
4. (8 pts.) The level curves of z = = f (x, y) are given along with the constraint curve g(x, y)= 8 9(x, y) = 8 40 50 60 70 0 30 20 10 a. Maximize and minimize f on the constraint. b. Label the point where the maximum occurs as A and the point where the minimum occurs as B. c. Sketch in the approximate vectors Vf and Vg at the points A and B.
Designing a High speed Wireless Data Link Line of Sight Link Budget Analysis Several major factors that can impact the performance of a radio system are Available/permitted output power e Bandwidth, . Receiver sensitivity Antenna gains In this case study, the students will be required to calculate the link budget for a LOS Wireless link. Read through the following to understand some of the aspects and elements that need to be considered when calculating a Link Budget. If the estimated/calculated...
(8 points) The temperature at a point (x, y, z) is given by T(x, y, z) = 1300e-x-2y-2? where T is measured in °C and x, y, and z in meters. 1. Find the rate of change of the temperature at the point P(2, -1, 2) in the direction toward the point Q(3,-3,3). Answer: Dp S(2.-1, 2) = 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:
8) a) About how much will f(x, y, z) = xy3z2 change if the point (x,y,z) moves from (3,-7,-6) a distance of ds = 0.5 units in the direction of 2ỉ+ 2j - K ? b) Find the maximum change in f(x,y,z) in moving 0.5 units away in any direction and indicated in what direction this occurs.
8) a) About how much will f(x,y,z) = xy?z? change if the point (x,y,z) moves from (3.-7.-6) a distance of ds = 0.5 units in the direction of 21 +27 - K? b) Find the maximum change in f(x,y,z) in moving 0.5 units away in any direction, and indicated in what direction this occurs.
11. Point P(4,2,3) is on one of the level surfaces of g(x, y, z) = e*+4xy”. Write an equation of the plane tangent to this surface at point P. a)5(x-4) - 7(y-2) + 6(2-3) = 0 b)-8(x-4)+12(y-2) - 5(2-3) = 0 c)9(x-4) + 4(y-2) - 5(2-3) - 0 d)16(x-4) + 64(y-2)+(2-3) -0 e) none of these
Question 8 Let f(x, y) = ln(x + 2y). What is the maximum rate of change of fat P(1,0)? Formulas: The maximum rate of change of f at P(20, yo) is | Vf(x0,yo) = V(fx (30, yo))2 + (fy(20, yo))? The gradient of fis f(x,y) = (fa(z,y), fy (z,y)) and substitute * = 0, y = yo into V f(a,y) to get f(go,yo) of f at the point P(0.yo)
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