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single sided spectrum

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syeda amna

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hi
i want to know what is the significance of single sided spectrum? why we prefer double sided spectrum although there is no concept of negative frequency.
what is the advantages/disadvantages of both?
thanks
 

There is no advantage or disadvantage of being single sided or double sided.It is just mathematical convention to see the shifted version of the spectrum before we shift it.
 

I know it is just a mathematical convention. but why we usually prefer double sided spectrum over single sided spectrum?
 

We generally prefer it because for real values of function x we know that the fourier transform of it is symmetric around the orgin. And as i said previous post using double sided spectrum we can visually predict the probable shifting.
 
syeda amna said:
I know it is just a mathematical convention. but why we usually prefer double sided spectrum over single sided spectrum?
Click to expand...

As mentioned already, the double-sided spectrum is closely related to the concept of negative frequencies.
Now: The introduction of negative frequencies is the result of using the FOURIER series in its complex form which is preferred over the real FOURUER series, that has a less compact and simple form.
In this context, remember the EULER formula that uses the exponential function to describe a sinusoidal signal.
 
Firstly thanks for your replies.
Sorry I am very confused about this.
LvW said:
As mentioned already, the double-sided spectrum is closely related to the concept of negative frequencies.
Now: The introduction of negative frequencies is the result of using the FOURIER series in its complex form which is preferred over the real FOURUER series, that has a less compact and simple form.
In this context, remember the EULER formula that uses the exponential function to describe a sinusoidal signal.
Click to expand...

so we use double sided spectrum because it is simple? Or the evaluation of complex Fourier Series is easier than the evaluation of trigonometric Fourier Series.

alpuslu said:
We generally prefer it because for real values of function x we know that the fourier transform of it is symmetric around the orgin. And as i said previous post using double sided spectrum we can visually predict the probable shifting.
Click to expand...
Is it not possible to visullize shifting by using double sided spectrum??
 

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