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a) Show (prove) that the signal 3^j2t is an eigenfunction of any LTI system, and nd the formula for the eigenvalue. That is, use the convolution integral and simplify to show that if you input 3^j2t into an LTI system with impulse response h (t ), then the output is 3^j2t multiplied by some scalar that does not depend on time (this scalar is the eigenvalue corresponding to this eigenfunction).
b) What is the formula for the eigenvalue from part (a)?
c) If h (t ) = d(t - 7) + d(t + 7), calculate the eigenvalue for the system, putting your answer in the form a cos(b ).
A 3 phase 50hz star connected motor has rotor resistance and stand still reactance of 0.025ohm and 0.35 ohm respectively. The full load slip is 5% calculate the resistance per phase of a star connected rheostat
Important information about RC Series Circuit, An RC series circuit has a voltage source of 10Vac, a resistor of 10ohms, and a capacitor with an impedance of -j10ohms
Two resistors are given: R1 = 470 ohms and R2 = 1.20 k ohms. (a) The two resistors are connected in series with a 48 V source. Calculate the series equivalent resistance. Sketch the schematic diagram of the circuit with the two resistors.
Locate and specify an appropriate sensor if it is to operate at 120 vac as an input to a PLC. Create the ladder diagram program to accomplish the specified control.
An input signal of 10V at 0o and a frequency of 1592 Hz is applied to a parallel RC circuit with resistor R = 100 ohm and capacitor C = 1 F. what is The source current.
The time to failure of fluorescent lights in a large office building is exponentially distributed with a failure rate of 0.03125 hours. How many spare tubes must the building custodian maintain to have at least a 0.95 probability of replacing all..
the doping level of N-type semiconductor is ND = 5x10^19 cm^-3. Determine the room-temperature position of the Fermi level (with respect to the borrom of the conduction band) if the semiconductor is Si (Nc = 2.86x10^19).
The contects of a six-bit register are initially 100101. The register is shifted four times to the right, with the serial input being 1101. What are the contents of the register after each shift
draw a digital design consisting of 2 input AND gates and three inverters, where an inverter is connected to each of the AND gates input and its output. For each of the four possible combinations inputs applied to the two primary inputs.
Modify the state diagram branching conditions in the diagrams below as needed to ensure the sum and exclusion rules are obeyed in each case.
Received power of half-wave dipole antennas, Assume that two antennas are half-wave dipoles and each has a directive gain of 3dB. If the transmitted power is 1W and the two antennas are separated by a distance of 10 km, what is the received power?
The input to a certain filter is given by Vin(t)=2cos(10000pi*t-15deg) and the steady state output is given by Vout(t)=5cos(10000pi*t+25deg). Determine the (complex) value of the transfer function of the filter for f=5000 Hz.
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