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The five pulses

The five pulses used in this experiment are shown in Figure 6 .

Figure 6. Five pulses with additive sinusoids.
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Unlike in the previous two cases shown in Figure 1 and Figure 4 , each of these pulses has a different shape from the others. In other words, in theprevious two cases, each pulse simply looked like a longer or shorter version of the other pulses. That is not the case in this example.

(Note however that the third pulse in Figure 6 looks just like the third pulse in Figure 4 . They were created using the same parameters. However, none of the other pulses in Figure 6 look like the corresponding pulses in Figure 4 , and none of the pulses in Figure 6 look like the pulses in Figure 1 .)

Spectral analysis results

Figure 7 shows the result of performing spectral analysis on the five time series containing the pulses shown in Figure 6 .

Figure 7. Spectral analyses of five pulses.
missing image

Peaks for first two pulses are now resolvable

When we examine the code, you will see that the frequency separation for the first two pulses has been increased to the reciprocal of the pulse length ineach case. This results in the two peaks in the spectrum for each of the first two pulses being resolvable in Figure 7 .

Third pulse hasn't changed

The spectrum for the third pulse shown in Figure 7 is almost identical to the spectrum for the third pulse shown in Figure 5 . The only difference is that I had to decrease the vertical scaling on all of the plots in Figure 5 to keep the peak in the top plot within the bounds of the plot.

Spectral peaks for last two pulses are closer

When we examine the code, you will also see that the frequency separation for the last two pulses has been decreased to the reciprocal of the pulse length ineach case. This results in the two peaks in the spectrum for each of the last two pulses being closer than before in Figure 7 .

The peaks in the bottom two plots in Figure 7 appear to be resolvable, but we can't be absolutely certain because they are so close together, particularly forthe last plot.

(If you expand the Frame to full screen when you run this program, you will see that the two peaks are resolvable, but I can't do that and staywithin this narrow publication format.)

Expand the horizontal plotting scale

Figure 8 adjusts the plotting parameters to cause the left-most one-fourth of the data in Figure 7 to be plotted in the full width of the Frame in Figure 8 .

Figure 8. Expanded spectral analyses of five pulses.
missing image

The peaks are barely resolvable

Figure 8 shows that the two peaks are barely resolvable for all five of the pulses shown in Figure 6 .

(There is no space between the peaks at the baseline in Figure 8 , but the plots do go almost down to the baseline half way between the two peaks.)

The program named Dsp033

The plots in Figure 7 and Figure 8 were produced by running the program named Dsp033 and plotting the results with the program named Graph03 .

A complete listing of the program named Dsp033 is shown in Listing 14 near the end of the module.

This program is the same as Dsp032 except that the separation between the frequencies of the two sinusoids is the reciprocal of the length of the pulse ineach case.

Questions & Answers

general equation for photosynthesis
Ojasope Reply
6CO2 + 6H2O + solar energy= C6H1206+ 6O2
Anastasiya
meaning of amino Acids
AJAYI Reply
a diagram of an adult mosquito
mubarak Reply
what are white blood cells
Mlungisi Reply
white blood cell is part of the immune system. that help fight the infection.
MG
what about tissue celss
Mlungisi
Cells with a similar function, form a tissue. For example the nervous tissue is composed by cells:neurons and glia cells. Muscle tissue, is composed by different cells.
Anastasiya
I need further explanation coz celewi anything guys,,,
Calvin Reply
hey guys
Isala
on what?
Anastasiya
hie
Lish
is air homogenous or hetrogenous
damiane Reply
homogenous
Kevin
why saying homogenous?
Isala
explain if oxygen is necessary for photosynthesis
Allice Reply
explain if oxygen is necessary for photosynthesis
Allice Reply
Yes, the plant does need oxygen. The plant uses oxygen, water, light, and produced food. The plant use process called photosynthesis.
MG
By using the energy of sunlight, plants convert carbon dioxide and water into carbohydrates and oxygen by photosynthesis. This happens during the day and sunlight is needed.
NOBLE
no. it s a product of the process
Anastasiya
yet still is it needed?
NOBLE
no. The reaction is: 6CO2+6H20+ solar energy =C6H12O6(glucose)+602. The plant requires Carbon dioxyde, light, and water Only, and produces glucose and oxygen( which is a waste).
Anastasiya
what was the question
NOBLE Reply
joining
Godfrey
the specific one
NOBLE
the study of non and living organism is called.
Godfrey
Is call biology
Alohan
yeah
NOBLE
yes
Usher
what Is ecology
Musonda Reply
what is a cell
Emmanuel Reply
A cell is a basic structure and functional unit of life
Ndongya
what is biolgy
Hawwi Reply
is the study of living and non living organisms
Ahmed
may u draw the female organ
MARTIN Reply
i dont understand
Asal
:/
Asal
me too
DAVID
anabolism and catabolism
Sani Reply
Anabolism refers to the process in methabolism in which complex molecules are formed "built" and requires energy to happen. Catabolism is the opposite process: complex molecules are deconstructed releasing energy, such as during glicolysis.
Anastasiya
Explain briefly independent assortment gene .
Otu Reply
hi
Amargo
hi I'm Anatalia
Joy
what do you mean by pituitary gland
Digambar
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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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