In this problem, we want to understand the temperature
component of our environment using Fourier series andlinear system theory. The file
temperature.mat contains these data
(daylight hours in the first row, corresponding averagedaily highs in the second) for Houston, Texas.
Let the length of day serve as the sole input to asystem having an output equal to the average daily
temperature. Examining the plots of input andoutput, would you say that the system is linear or
not? How did you reach you conclusion?
Find the first five terms
(
,
... ,
)
of the complex Fourier series for each signal.Use the following formula that approximates the integral required to find the Fourier coefficients.
What is the harmonic distortion in the two signals?
Exclude
from this calculation.
Because the harmonic distortion is small, let's
concentrate only on the first harmonic. What is thephase shift between input and output signals?
Find the transfer function of the simplest possible
linear model that would describe the data.Characterize and interpret the structure of this
model. In particular, give a physical explanationfor the phase shift.
Predict what the output would be if the model had no
phase shift. Would days be hotter? If so, by howmuch?
Fourier transform pairs
Find the Fourier or inverse Fourier transform of the
following.
Duality in fourier transforms
"Duality" means that the Fourier transform and the inverse Fourier transform are very similar.
Consequently, the waveform
in the time domain and the spectrum
have a Fourier transform and an inverse Fourier transform, respectively, that are very similar.
Calculate the Fourier transform of the signal shown
below .
Calculate the inverse Fourier transform of the spectrum shown
below .
How are these answers related?
What is the general relationship between the Fourier transform of
and the inverse transform of
?
Spectra of pulse sequences
Pulse sequences occur often in digital communication and in other fields as well.
What are their spectral properties?
Calculate the Fourier transform of the single pulse shown
below .
Calculate the Fourier transform of the two-pulse sequence shown
below .
Calculate the Fourier transform for the
ten -pulse sequence shown in
below .
You should look for a general expression that holds for sequences of any length.
Using Matlab, plot the magnitudes of the three spectra.
Describe how the spectra change as the number of repeated pulses increases.
Spectra of digital communication signals
One way to represent bits with signals is shown in
[link] .
If the value of a bit is a “1”, it is represented by a positive pulse of duration
.
If it is a “0”, it is represented by a negative pulse of the same duration.To represent a sequence of bits, the appropriately chosen pulses are placed one after the other.
What is the spectrum of the waveform that represents the alternating bit sequence “...01010101...”?
This signal's bandwidth is defined to be the frequency range over which 90% of the power is contained.
What is this signal's bandwidth?
Suppose the bit sequence becomes “...00110011...”.
Now what is the bandwidth?
Questions & Answers
Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you.
Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Specific heat capacity is a measure of the amount of energy required to raise the temperature of a substance by one degree Celsius (or Kelvin). It is measured in Joules per kilogram per degree Celsius (J/kg°C).
AI-Robot
specific heat capacity is the amount of energy needed to raise the temperature of a substance by one degree Celsius or kelvin
ROKEEB
Got questions? Join the online conversation and get instant answers!