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A random signal X can be observed only in the presence of independent addictive noise N. The observed quantity is Y = X + N.The joint probability density function of X and Y is
f(x,y) = K exp[-(x2 + y2 + 4xy)] all x and y
a. Find a general expression for the best estimate of X as functionof the observation Y =y.
b. If the observed value of Y is y = 3, find the best estimate of X.
An archaeologist finds the 14C in a sample of 3.0 g of material to be decaying at 107 counts per second. A modern 1.0 g sample of the same material decays at 151 counts per second. The half-life of 14C is 5730 years
Two friends A and B meet every morning at the Grand Central Station around 7 am. Suppose the actual times they arrive are independent and uniformly distributed between 6:55 am and 7:05am.
A stun gun or TASER is designed to put out a few seconds worth of electric pulses that impress a voltage of about 1200 V across the human body. This results in an average current of approximately 3 mA into a human body.
Determine the conductor size for each motor tap, the motor controller size, overload rating, motor and controller disconnect rating, time-delay fuse rating, and motor branch circuit conductor size.
The voltages at the generators buses are maintained at a magnitude of 1.0pu. The generator one (G1) is connected to bus 1. The generator two (G2) is connected to bus 2. The bus angle at bus 2 is taken as reference and is 00.
Point charges, each of value √(4πε0)C, are located at the vertices of an n-sided regular polygon circumscribed by a circle of radius a. Find the electric force on each charge for (a) n=3, (b) n=4, (c) & n=6.
An 80 kHz sinusoidal voltage has zero phase angle and a maximum amplitude of 25 mV. When this voltage is applied across the terminals of a capacitor, the steady-state current has a maximun ampliture of 628.32 uA
Assume you have a power supply using a bridge rectier. The output of the supply should be 13.8 V with a maximum output current of 50 A. If we assume thevoltage regulator in series with the positive output leg requires a minimum of 1.2 V
Design a code to open a vault (after entering the correct 4-number sequence "1234"), it displays the word OPEN when the correct sequence is entered.
Suppose we have a secret message that is 105 BINARY digits long. What is the smallest power of 2 needed to generate a binary codeword long enough for this message What is the maximum number of binary digits that can be generated with this choice o..
If a circuit has a 3.9 k ohms resistor and a 5 uF capacitor, find the current flow in the circuit at 0.005 seconds, if the maximum current flow in the circuit is 1.5 mA.
Write down the expression for the frequency-dependent open-loop gain of an operational amplifier. Sketch the magnitude of the open-loop gain of an operational amplifier as a function of frequency. Explain what is meant by a `single-lag' response o..
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