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A zero mean gaussian random vector X=(X1, X2)T has a covariance matrix given by K=[ 3 -1 -1 3 ] Find a transformation matrix A so that the vector Y=AX is a gaussian random vector with uncorrelated (and therefore independent) components of unity variance.
n electrical heater is connected to a constant 250-V sourceand absorbs 1000W. Subsequently, the heater is connected to a constant 220-Vsource. What power does it absorb from the 220-V source. What is the resistance of the heate.
What should the signal definitions be for the equations, such that the minimal about of hardware (gates) are used assuming we have an abundance of NAND gates Show the signals definitions and resulting circuitry.
The radio station 98.5FM has a bad power amplifier such that the received signal at any car radio is actually: x(t) = y(t) + y2(t) where y(t) is the FM signal at the assigned carrier frequency. Assuming your radio has unlimited spectral range
if a car's key is in the car's ignition slot (indicated by an input k being 1), and a passenger is seated (indicated by an input p being 1), and the passanger's seat belt is not buckled (indicated by an input s being 0).
A video system can accept video from one of two video sources, but can only display one source at a given time. Each source outputs a stream of digitized video on its own 8-bit output. A switch with a single bit output chooses
A certain three-port network is lossless and reciprocal, and has S13 = S23 and S11 = S22. Show that if port 2 is terminated with a matched load, then port 1 can be matched by placing an appropriate reactance at port 3.
Consider a hollow spherical conductor with total charge +5e. The outer and inner radii are a and b, respectively. (a) Calculate the charge on the sphere's inner and outer surfaces if a charge of -3e is placed at the center of the sphere.
A circular loop TV antenna with 0.01 m2 area is in the presence of a uniform -amplitude 300 MHz signal. When oriented for maximum response, the loop develops an emf with a peak value of 20 mV. What is the peak magnitude of B of the incident wave?
A 37.5-kVA, 6900-230V, 60Hz, single phase transformer is operating in the step down mode at rated load, rated voltage, and 0.68 power factor lagging. The equivalent resistance and reactance referred to the low side are 0.0224Ω and 0.0876Ω
A cloud company has 20 computers total. Out of the 20 computers, 9 run web servers and 12 host databases. Furthermore, 8 machines offer file sharing. Note that a particular machine can offer multiple services.
3)What factors started the decline in the nuclear power industry, and what events essentially ended new construction of nuclear power plant 4)What are three advantages of using AC power over using DC power
What should be the capacitance of a capacitor, in series with a 250-ohm resistor, that will limit the current to 1.2 A when the circuit is connected to a 600 V 60-cycle source
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