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[moved] Question about periodic signals

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PalTaj

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Hello
can you anyone help me in solving these ?

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shahbaz.ele

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Re: Question about periodic signals

If you know MATLAB.
one method is to plot in MATLAB.
and see whether its periodic or not, and measure time period.
without solving mathematics.
 

PalTaj

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Re: Question about periodic signals

If you know MATLAB.
one method is to plot in MATLAB.
and see whether its periodic or not, and measure time period.
without solving mathematics.

but i need the mathematic solving
 

c_mitra

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Re: Question about periodic signals

The questions are very simple and I wonder why you cannot answer them yourself. I guess you have been asked to answer these question as part of a class work, right?

These formula and equations must have been taught in the class. If you have any specific difficulty in understanding, please feel free to ask ad libitum.

If someone else solves (gives answer on your behalf) these, then you will learn close to nil and that is not a real help.

Please try yourself first and if you have any difficulty, please do ask till you are clear.

begin at the beginning: What is a periodic function?
 

PalTaj

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Re: Question about periodic signals

can you provide me with a good source to study it ?
like i really want to understand the concept
 

shahbaz.ele

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Re: Question about periodic signals

any signal processing/ signal system book,
may be the one you are studying one.
 

CataM

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Re: Question about periodic signals

You did not study it on the course? Or the teacher did not provide book for it?

A function is periodic if f(z)=f(z+T) with z being a complex variable.

To help you out, for the exponentials use Euler's formula.

For the c) function, I will help you with this.

Consider f(x)=sin(x)/x = sinc(x) (in is not exactly what you have but works since you multiply by a constant)

Let assume it is periodic => f(x)=f(x+T). T is the period which can be took for whatever interval you want, I will take for the inverval [0,T] meaning f(0)=f(0+T) for x=0.

Ok, so lets start..

f(0)=f(T) <=> 1=sin(T)/T <=> sin(T)=T => that equation has one and only one solution for T=0, meaning the function is periodic with period T=0 meaning it is not periodic.
 

ustinoff

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Re: Question about periodic signals

any signal processing/ signal system book,
may be the one you are studying one.

Richard Lyons "Understanding digital signal processing" or any math book for high school.

Or: MIT OpenCourse Ware, Prof. Gilbert Strang's course "Highlights of calculus"
 
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