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Truncated sinusoids

Each pulse consists of a cosine wave that has been truncated at a different length. The frequency of the cosine wave is the same for every pulse. As youwill see when we examine the code, the frequency of the cosine wave is 0.0625 times the sampling frequency. If you do the arithmetic, you will conclude thatthis results in 16 samples per cycle of the cosine wave.

In all five cases, the length of the time series upon which spectral analysis will be performed is 400 samples. For those four cases where the length of thepulse is less than 400 samples, the remaining samples in the time series have a value of zero.

Will compute at 400 frequencies

When the spectral analysis is performed later, the number of individual frequencies at which the amplitude of the spectral energy will be computed willbe equal to the total data length. Therefore, the amplitude of the spectral energy will be computed at the same 400 frequencies for each of the five timeseries. That makes it convenient for us to stack the spectral plots up vertically and compare them (as in Figure 2 ) . This makes it easy for us to compare the distribution of energy across the frequency spectrum for pulsesof different lengths.

Graph03 and graph06

The plots in Figure 1 were produced using the program named Graph03 . Other plots in this module will be produced using the program named Graph06 . I explained those programs in earlier modules, and I provided the source code for both programs in the previous module titled Spectrum Analysis using Java, Sampling Frequency, Folding Frequency, and the FFT Algorithm . Therefore, I won't repeat those explanations or provide the source code for those programs in this module.

The program named Dsp031a

A complete listing of the program named Dsp031a is provided in Listing 9 near the end of the module.

This program displays sinusoidal pulses identical to those processed by the program named Dsp031 , which will be discussed later.

Time series containing sinusoidal pulses

The program named Dsp031a creates and displays five separate time series, each 400 samples in length. Each time series contains a pulse andthe pulses are different lengths.

Each pulse consists of a truncated sinusoid. The frequency of the sinusoid for each of the pulses is the same.

Frequency values are specified as type double as a fraction of the sampling frequency. The frequency of each sinusoid is 0.0625 times thesampling frequency.

The pulse lengths

The lengths of the five pulses are:

  • 25 samples
  • 50 samples
  • 100 samples
  • 200 samples
  • 400 samples

Beginning of the class named Dsp031a

This program is very similar to programs that I explained in previous modules in this series, so my explanation will be very brief. As usual, I will explainthe program in fragments.

The beginning of the class, along with the declaration and initialization of several variables is shown in Listing 1 . The names of the variables along with the embedded comments should make the code self explanatory.

Listing 1. Beginning of the class named Dsp031a.
class Dsp031a implements GraphIntfc01{ final double pi = Math.PI;int len = 400;//data length int numberPulses = 5;//Frequency of the sinusoids double freq = 0.0625;//Amplitude of the sinusoids double amp = 160;//Following arrays will contain sinusoidal data double[]data1 = new double[len];double[] data2 = new double[len]; double[]data3 = new double[len];double[] data4 = new double[len]; double[]data5 = new double[len];

Questions & Answers

where we get a research paper on Nano chemistry....?
Maira Reply
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
yes that's correct
I think
Nasa has use it in the 60's, copper as water purification in the moon travel.
nanocopper obvius
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
analytical skills graphene is prepared to kill any type viruses .
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
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.
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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