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

Nov 16, 2005 18 Replies

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

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

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

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

Ian

Hi All,



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



For easy calculation?



Best regards, Boki.


Yeah, but then you folks use "i" >> Boki wrote:

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

Ing.Buero R.Tschaggelar - http://www.ibrtses.com & commercial newsgroups - http://www.talkto.net

[snip]

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

...Jim Thompson

-- | James E.Thompson, P.E. | mens | | Analog Innovations, Inc. | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | Phoenix, Arizona Voice:(480)460-2350 | | | E-mail Address at Website Fax:(480)460-2142 | Brass Rat | |

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| 1962 | I love to cook with wine. Sometimes I even put it in the food.

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

Thanks : )

Best regards, Boki.

"Christian S." ???????: snipped-for-privacy@4ax.com...

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

"Ian Bell" ???????:dldbgt$llp$ snipped-for-privacy@slavica.ukpost.com...

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

...Jim Thompson

| James E.Thompson, P.E. | mens | | Analog Innovations, Inc. | et | | Analog/Mixed-Signal ASIC\'s and Discrete Systems | manus | | Phoenix, Arizona Voice:(480)460-2350 | | | E-mail Address at Website Fax:(480)460-2142 | Brass Rat | | http://www.analog-innovations.com | 1962 | I love to cook with wine. Sometimes I even put it in the food.

Yes.

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

Boki.

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

"Jim Thompson" ???????: snipped-for-privacy@4ax.com...

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

...Jim Thompson

-- | James E.Thompson, P.E. | mens | | Analog Innovations, Inc. | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | Phoenix, Arizona Voice:(480)460-2350 | | | E-mail Address at Website Fax:(480)460-2142 | Brass Rat | |

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| 1962 | I love to cook with wine. Sometimes I even put it in the food.

It would help if you learned a little netiquette first.

Ian

Bye ;-)

...Jim Thompson

-- | James E.Thompson, P.E. | mens | | Analog Innovations, Inc. | et | | Analog/Mixed-Signal ASIC's and Discrete Systems | manus | | Phoenix, Arizona Voice:(480)460-2350 | | | E-mail Address at Website Fax:(480)460-2142 | Brass Rat | |

formatting link
| 1962 | I love to cook with wine. Sometimes I even put it in the food.

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