>On Apr 23, 2:15=A0pm, "biel_d" <bie...@web.de> wrote:
>> Hi all,
>>
>> I'm currently start working with DPLL. One design parameter in the
>> development of narrow bandwidth DPLL is the noise bandwidth. I read
that
>> the noise bandwidth could be calculated as the integral over the
closed
>> loop response and I did this but I get a huge value for a narrow
bandwidt=
>h
>> PLL? Could you please help me or give me a hint where I can find a
>> documentation how I can estimate the noise bandwidth of a DPLL using
>> matlab?
>>
>> Thank you,
>> Biel =A0 =A0
>
>The noise BW for a second order PLL is given in Gardner and also Best.
>It is (Wn/2)*(Z+1/(4Z)) where Wn is natural freq (rad/sec) and Z is
>damping factor (unitless). You can see from this eqn that minimum
>noise BW is half natural freq when Z=3D0.5. The noise BW blows up fast
>as Z goes < 0.5 and increases slowly as Z goes > 0.5, so the standard
>Z=3D0.707 is fine.
>
>John
>
>John
>
Hi John,
thank you for your help. I know the table in Gardners book phase lock
techniques. But I want to know is, how can I numerical calculate the noise
bandwidth for an arbitrary PLL?
Thank you for your help again,
Biel
Reply by John●April 24, 20092009-04-24
On Apr 24, 7:45�am, "biel_d" <bie...@web.de> wrote:
> >On Apr 23, 2:15=A0pm, "biel_d" <bie...@web.de> wrote:
> >> Hi all,
>
> >> I'm currently start working with DPLL. One design parameter in the
> >> development of narrow bandwidth DPLL is the noise bandwidth. I read
> that
> >> the noise bandwidth could be calculated as the integral over the
> closed
> >> loop response and I did this but I get a huge value for a narrow
> bandwidt=
> >h
> >> PLL? Could you please help me or give me a hint where I can find a
> >> documentation how I can estimate the noise bandwidth of a DPLL using
> >> matlab?
>
> >> Thank you,
> >> Biel =A0 =A0
>
> >The noise BW for a second order PLL is given in Gardner and also Best.
> >It is (Wn/2)*(Z+1/(4Z)) where Wn is natural freq (rad/sec) and Z is
> >damping factor (unitless). You can see from this eqn that minimum
> >noise BW is half natural freq when Z=3D0.5. The noise BW blows up fast
> >as Z goes < 0.5 and increases slowly as Z goes > 0.5, so the standard
> >Z=3D0.707 is fine.
>
> >John
>
> >John
>
> Hi John,
>
> thank you for your help. I know the table in Gardners book phase lock
> techniques. But I want to know is, how can I numerical calculate the noise
> bandwidth for an arbitrary PLL?
>
> Thank you for your help again,
> Biel
In the book by Roland Best, the formula I gave is derived.
John
Reply by biel_d●April 24, 20092009-04-24
>On Apr 23, 2:15=A0pm, "biel_d" <bie...@web.de> wrote:
>> Hi all,
>>
>> I'm currently start working with DPLL. One design parameter in the
>> development of narrow bandwidth DPLL is the noise bandwidth. I read
that
>> the noise bandwidth could be calculated as the integral over the
closed
>> loop response and I did this but I get a huge value for a narrow
bandwidt=
>h
>> PLL? Could you please help me or give me a hint where I can find a
>> documentation how I can estimate the noise bandwidth of a DPLL using
>> matlab?
>>
>> Thank you,
>> Biel =A0 =A0
>
>The noise BW for a second order PLL is given in Gardner and also Best.
>It is (Wn/2)*(Z+1/(4Z)) where Wn is natural freq (rad/sec) and Z is
>damping factor (unitless). You can see from this eqn that minimum
>noise BW is half natural freq when Z=3D0.5. The noise BW blows up fast
>as Z goes < 0.5 and increases slowly as Z goes > 0.5, so the standard
>Z=3D0.707 is fine.
>
>John
>
>John
>
Hi John,
thank you for your help. I know the table in Gardners book phase lock
techniques. But I want to know is, how can I numerical calculate the noise
bandwidth for an arbitrary PLL?
Thank you for your help again,
Biel
Reply by John●April 23, 20092009-04-23
On Apr 23, 2:15�pm, "biel_d" <bie...@web.de> wrote:
> Hi all,
>
> I'm currently start working with DPLL. One design parameter in the
> development of narrow bandwidth DPLL is the noise bandwidth. I read that
> the noise bandwidth could be calculated as the integral over the closed
> loop response and I did this but I get a huge value for a narrow bandwidth
> PLL? Could you please help me or give me a hint where I can find a
> documentation how I can estimate the noise bandwidth of a DPLL using
> matlab?
>
> Thank you,
> Biel � �
The noise BW for a second order PLL is given in Gardner and also Best.
It is (Wn/2)*(Z+1/(4Z)) where Wn is natural freq (rad/sec) and Z is
damping factor (unitless). You can see from this eqn that minimum
noise BW is half natural freq when Z=0.5. The noise BW blows up fast
as Z goes < 0.5 and increases slowly as Z goes > 0.5, so the standard
Z=0.707 is fine.
John
John
Reply by biel_d●April 23, 20092009-04-23
Hi all,
I'm currently start working with DPLL. One design parameter in the
development of narrow bandwidth DPLL is the noise bandwidth. I read that
the noise bandwidth could be calculated as the integral over the closed
loop response and I did this but I get a huge value for a narrow bandwidth
PLL? Could you please help me or give me a hint where I can find a
documentation how I can estimate the noise bandwidth of a DPLL using
matlab?
Thank you,
Biel