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  • Because it uses an FFT algorithm, Dsp030 is much less flexible than Dsp028 , particularly with respect to data length and selection of the frequencies of interest.
  • Because it uses an FFT algorithm, Dsp030 is much faster than Dsp028 , particularly when used to perform spectral analysis on long data lengths.

A complete listing of Dsp030 is provided in Listing 22 .

Description of the program named dsp030

This program uses an FFT algorithm to compute and display the magnitude of the spectral content for up to five sinusoids having different frequencies andamplitudes. (See the program named Dsp028 for a program that does not use an FFT algorithm.)

The input parameters

The program gets input parameters from a file named Dsp030.txt . If that file doesn't exist in the current directory, the program uses a set ofdefault parameters.

Each parameter value must be stored as characters on a separate line in the file named Dsp030.txt . The required input parameters are shown in Figure 16 . (Contrast this with the required input parameters for Dsp028 shown in Figure 12 .)

Figure 16. Required input parameters for Dsp030.
Data length as type int (must be a power of 2) Number of spectra as type int. Max value is 5.List of sinusoid frequency values as type double. List of sinusoid amplitude values as type double.

Note that in contrast with Figure 12 , the required input parameters for Dsp030 do not include the sample number representing zero time, the lower frequency bound for computation of the spectra, and the upperfrequency bound for computation of the spectra.

(The computational frequency range cannot be specified for the FFT algorithm. It always computes the spectra from zero to one unit less thanthe sampling frequency.)

Restrictions on the data length

Note also that the data length must always be a power of two. Otherwise, the FFT algorithm will fail to run properly.

(This restriction is an important contributor to the speed achieved by the FFT algorithm.)

The sinusoidal frequency values

As with Dsp028 , the number of values in each of the lists must match the value for the number of spectra.

All frequency values are specified as a double representing a fractional part of the sampling frequency.

Figure 17 shows the parameters used to produce the spectral analysis plots shown later in Figure 18 .

(Note that the data length is a power of two as required by the FFT.)

Figure 17. Example input parameters.
256 50.1 0.20.3 0.50.005 9090 9090 90

The plotting program

The plotting program that is used to plot the output data from this program requires that the program implement GraphIntfc01 . For example, the plotting program named Graph03 can be used to plot the data produced by this program. This requires that you enter the following at thecommand line prompt after everything is compiled:

java Graph03 Dsp030

The plotting program named Graph06 can also be used to plot the data produced by this program, requiring that you enter the following at thecommand line prompt:

java Graph06 Dsp030

The transform method

A static method named transform belonging to the class named ForwardRealToComplexFFT01 is used to perform the actual spectral analysis. The method named transform implements an FFT algorithm. As mentioned above, the FFT algorithm requires that the data lengthbe a power of two. This method will be discussed very briefly later.

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.
Kate Reply
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?
Kate Reply
what is the change in momentum of a body?
Eunice Reply
what is a capacitor?
Raymond Reply
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
Maria Reply
please solve
Sharon
8m/s²
Aishat
What is Thermodynamics
Muordit
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
Saheed Reply
50 m/s due south east
Someone
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
Ramon Reply
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
Someone
definitely of physics
Haryormhidey Reply
how many start and codon
Esrael Reply
what is field
Felix Reply
physics, biology and chemistry this is my Field
ALIYU
field is a region of space under the influence of some physical properties
Collete
what is ogarnic chemistry
WISDOM Reply
determine the slope giving that 3y+ 2x-14=0
WISDOM
Another formula for Acceleration
Belty Reply
a=v/t. a=f/m a
IHUMA
innocent
Adah
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?
Nassze Reply
how do lnternal energy measures
Esrael
Two bodies attract each other electrically. Do they both have to be charged? Answer the same question if the bodies repel one another.
JALLAH Reply
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?
Robert
like charges repel while unlike charges atttact
Raymond
What is specific heat capacity
Destiny Reply
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
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Source:  OpenStax, Digital signal processing - dsp. OpenStax CNX. Jan 06, 2016 Download for free at https://legacy.cnx.org/content/col11642/1.38
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