Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.
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?
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.
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.
