Re: Proving the relationships between FSCTFT and CTFTDTFT
On Mar 4, 12:39*pm, Andor <andor.bari...@gmail.com> wrote:
> On 3 Mrz., 22:31, "dr3amr2" <dnguy...@du.edu> wrote:
>
> > Hi everyone, this is my first time posting and I hope that its in the right
> > place and not violating any rules. *I have already tried searching about
> > this topic on this website but I was unsuccessful in finding what I was
> > seeking for. *
>
> > This is for my independent study and my goals are to prove two
> > relationships.
> > 1. *Prove that the Fourier Series (FS) gives the same results as the
> > Continuous-Time Fourier Transform (CTFT). *
>
> You won't find such a proof.
>
> > Using the FS's coefficients
> > along with the X(jw) of the CTFT.
>
> > From my research, I know that we have to use the Dirc Comb and convolve it
> > with the FS, but from there I'm just lost
>
> > 2. *Prove that the Discrete-Time Fourier Transform is the same as CTFT.. *
>
> Another proof you wont find.
>
>
>
> > The relation between DTFT and CTFT in sampling is X(e^jwTs) =
> > X(e^jw)|w=wTs = (1/Ts)(sumation)Xc(j(w-((2*pi*k)/Ts))). *I just don't know
> > what theorem to use to prove this relationship. *
>
> > So can someone help me out or guide me to the right direction? *
>
> What exactly do you want to do?
>
> Regards,
> Andor
"What exactly do you want to do?", Andor?
I think he calls it "homework".
Dirk
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