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?
is it possible to leave every good at the same level
Joseph
I don't think so. because check it, if the demand for chicken increases, people will no longer consume fish like they used to causing a fall in the demand for fish
Anuolu
is not really possible to let the value of a goods to be same at the same time.....
Salome
Suppose the inflation rate is 6%, does it mean that all the goods you purchase will cost
6% more than previous year? Provide with reasoning.
Not necessarily. To measure the inflation rate economists normally use an averaged price index of a basket of certain goods. So if you purchase goods included in the basket, you will notice that you pay 6% more, otherwise not necessarily.
Good day
How do I calculate this question: C= 100+5yd G= 2000 T= 2000 I(planned)=200.
Suppose the actual output is 3000. What is the level of planned expenditures at this level of output?
I am Camara from Guinea west Africa... happy to meet you guys here
Sekou
ma management ho
Amisha
ahile becheclor ho
Amisha
hjr ktm bta ho
ani k kaam grnu hunxa tw
Amisha
belatari
Amisha
1st year ho
Amisha
nd u
Amisha
ahh
Amisha
kaha biratnagar
Amisha
ys
Amisha
kina k vo
Amisha
money as unit of account means what?
Kalombe
A unit of account is something that can be used to value goods and services and make calculations
Jim
all of you please speak in English I can't understand you're language
Muhammad
I want to know how can we define macroeconomics in one line
Muhammad
it must be .9 or 0.9
no Mpc is greater than 1
Y=100+.9Y+50
Y-.9Y=150
0.1Y/0.1=150/0.1
Y=1500
Kalombe
Mercy is it clear?😋
Kalombe
hi can someone help me on this question
If a negative shocks shifts the IS curve to the left, what type of policy do you suggest so as to stabilize the level of output?
discuss your answer using appropriate graph.