Why we always use Z transform to analyze/represent switched-capacitor related circuit?

[Boki]

Hi All,

Why we always use Z transform to analyze/represent switched-capacitor
related circuit?

For easy calculation?

Best regards,
Boki.

 

[Christian S.]

Hi All,

Why we always use Z transform to analyze/represent switched-capacitor
related circuit?

For easy calculation?

Yes, because a delay can be represented by z^{-1}, and discrete time
signals can easily be written as a sum of shifted (delayed) and scaled
unit pulses.

Chris

 

[John Larkin]

Hi All,

Why we always use Z transform to analyze/represent switched-capacitor
related circuit?

For easy calculation?

Best regards,
Boki.

Not always. You can use classic linear analysis (integrators, summers,
gain elements) and get pretty close in a lot of cases. You can, for
instance, look up a trusty old analog state-variable filter design and
flip it directly into an MF10.

John

 

[Ian Bell]

Hi All,

Why we always use Z transform to analyze/represent switched-capacitor
related circuit?

For easy calculation?

Best regards,
Boki.

Duh, because Z transforms apply specifically to descrete time systems????

Ian

 

[Phil Hobbs]

Boki wrote:




Duh, because Z transforms apply specifically to descrete time systems????

Ian

C'mon, Boki got it right, cut him some slack. Z is just a shorthand for
exp(j2*pi*f*tau), where tau is the sampling interval-- with that change
of variable, the Z transform is just a Fourier or two-sided Laplace
transform, which is where it came from in the first place. (Before you
jump on me for the sign of j, remember that we physicists use the
opposite Fourier transform sign convention to you EEs. That's also a
good fig leaf for not bothering to check which it is.)

Cheers,

Phil Hobbs

 

[Bob Agnew]

transform, which is where it came from in the first place. (Before you

jump on me for the sign of j, remember that we physicists use the opposite
Fourier transform sign convention to you EEs. That's also a good fig leaf
for not bothering to check which it is.)

Yeah, but then you folks use "i" instead of "j" just to further obfuscate
matters ;=}}

 

[Rene Tschaggelar]

Yeah, but then you folks use "i" instead of "j" just to further obfuscate
matters ;=}}

Oh, no. Mathematics has had the "i" as squareroot(-1) for
ages. The electric community would just get spinning heads
when the "i" was used for current AND the squareroot(-1)
in the same formula.


Rene

 

[Ian Bell]

C'mon, Boki got it right, cut him some slack. Z is just a shorthand for
exp(j2*pi*f*tau), where tau is the sampling interval-- with that change
of variable, the Z transform is just a Fourier or two-sided Laplace
transform, which is where it came from in the first place.

Agreed. However, us EEs are taught that the *reason* for using the short
hand in the first place is in order to analyse/design descrete time
systems.

Ian

 

[Boki]

Thanks : )

Best regards,
Boki.

 

[Boki]

Write something that is really helpful for asker and other readers is
meaning and useful for our world

 

[Jim Thompson]

Write something that is really helpful for asker and other readers is
meaning and useful for our world

[snip]

And for your "education" without studying, thinking or opening a book
?

...Jim Thompson

 

[Boki]

I like to discuss with you, can I ? :-D

Write something that is really helpful for asker and other readers is
meaning and useful for our world

[snip]

And for your "education" without studying, thinking or opening a book
?

...Jim Thompson

 

[Jim Thompson]

I like to discuss with you, can I ? :-D

Write something that is really helpful for asker and other readers is
meaning and useful for our world

[snip]

And for your "education" without studying, thinking or opening a book
?

...Jim Thompson

Have you had a course on Z-transforms or sampled control systems?

...Jim Thompson

 

[Luo XiaoZen]

Hi All,

Why we always use Z transform to analyze/represent switched-capacitor
related circuit?

For easy calculation?
Yes.


Best regards,
Boki.

 

[Boki]

Are you going to be my new teacher/professor? : )

Boki.

 

[Jim Thompson]

Are you going to be my new teacher/professor? : )

Boki.

Boki, You're getting tiresome... shape up or plonk out.

...Jim Thompson

 

[Ian Bell]

Are you going to be my new teacher/professor? : )

Boki.

It would help if you learned a little netiquette first.

Ian

 

[Boki]

OK. shape up.

 

[Jim Thompson]

OK. shape up.

Bye ;-)

...Jim Thompson