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Viewing tip

I recommend that you open another copy of this module in a separate browser window and use the following links to easily find and view the Figuresand Listings while you are reading about them.


  • Figure 1. Five pulses in the time domain.
  • Figure 2. Spectral analyses of five pulses.
  • Figure 3. Expanded spectral analyses of five pulses.
  • Figure 4. Five pulses with two sinusoids each.
  • Figure 5. Spectral analyses of five pulses.
  • Figure 6. Five pulses with additive sinusoids.
  • Figure 7. Spectral analyses of five pulses.
  • Figure 8. Expanded spectral analyses of five pulses.



Before I get into the technical details, here is a preview of the programs and their purposes that I will present and explain in this module:

  • Dsp031 - Illustrates frequency resolution versus pulse length for pulses consisting of a truncated single sinusoid.
  • Dsp031a - Displays the pulses analyzed by Dsp031.
  • Dsp032 - Illustrates frequency resolution versus pulse length for pulses consisting of the sum of two truncated sinusoids with closely spacedfrequencies.
  • Dsp032a - Displays the pulses analyzed by Dsp032.
  • Dsp033 - Illustrates frequency resolution versus pulse length for pulses consisting of the sum of two truncated sinusoids whose frequencies arebarely resolvable.
  • Dsp033a - Displays the pulses analyzed by Dsp033.

In addition, I will use the following programs that I explained in the module titled Spectrum Analysis using Java, Sampling Frequency, Folding Frequency, and the FFTAlgorithm .

  • ForwardRealToComplex01 - Class that implements the DFT algorithm for spectral analysis.
  • Graph03 - Used to display various types of data. (The concepts were explained in an earlier module.)
  • Graph06 - Also used to display various types of data in a somewhat different format. (The concepts were also explained in an earlier module.)

Discussion and sample code

Five pulses in the time domain

Let's begin by looking at the time series data that will be used as input to the first spectral analysis experiment. Figure 1 shows five pulses in the time domain. Figure 2 and Figure 3 show the result of performing a spectral analysis on each of these pulses.

(The display in Figure 1 was produced by the program named Dsp031a, which I will explain later.)

Figure 1. Five pulses in the time domain.
missing image

The lengths of the pulses

If you examine Figure 1 carefully, you will see that each pulse is twice as long as the pulse above it. (There is a tick mark on the horizontal axes every twenty-five samples.) The bottom pulse is 400 samples long while the top pulse is 25 samples long.

Questions & Answers

what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
scanning tunneling microscope
how nano science is used for hydrophobicity
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
what is differents between GO and RGO?
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
The nanotechnology is as new science, to scale nanometric
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
what school?
biomolecules are e building blocks of every organics and inorganic materials.
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
sciencedirect big data base
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
characteristics of micro business
for teaching engĺish at school how nano technology help us
How can I make nanorobot?
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
how can I make nanorobot?
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
what is the actual application of fullerenes nowadays?
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
how did you get the value of 2000N.What calculations are needed to arrive at it
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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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