Author Topic: frequency responce of switched capacitor based amplifier (ltc6943)?  (Read 1136 times)

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Offline CopperConeTopic starter

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I have some trouble getting my head around the LTC6943 and switched capacitor devices. In the datasheet, there is a circuit where you can make an amplifier that has gain programmable by frequency. On page 12,

http://cds.linear.com/docs/en/datasheet/6943f.pdf

What is the 3db point of this amplifier?
 

Offline danadak

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Re: frequency responce of switched capacitor based amplifier (ltc6943)?
« Reply #1 on: January 22, 2018, 12:40:01 am »
This might help in a broad sense -


http://www.seas.ucla.edu/brweb/teaching/AIC_Ch12.pdf


Regards, Dana.
Love Cypress PSOC, ATTiny, Bit Slice, OpAmps, Oscilloscopes, and Analog Gurus like Pease, Miller, Widlar, Dobkin, obsessed with being an engineer
 

Offline Wimberleytech

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Re: frequency responce of switched capacitor based amplifier (ltc6943)?
« Reply #2 on: January 22, 2018, 03:34:18 am »
First see if you can understand the simplest switched capacitor resistor emulation as shown in this figure.

During Phase 1, the charge stored on the capacitor is V(1)*C= Q(1)
During Phase 2, the charge stored on the capacitor is V(2)*C= Q(2)

The change in charge, DeltaQ is Q(2) - Q(1) = C[V(2) - V(1)] or C*DeltaV

That change in charge occurs over the cycle of Phase 1 and Phase 2.

The period of Phase 1 and Phase 2 cycle is T.  The frequency of this repetition is F=1/T.

The charge that transfers between V1 and V2 is DeltaQ and it occurs over the period, T, at a frequency of 1/T.

Current is charge per unit time.

The average current. i(avg) is DeltaQ/T = DeltaQ*F = C*DeltaV*F

So we have i(avg) = C*DeltaV*F

Rearranging we have

DeltaV/i(avg) = 1/C*F = R(equivalent)

So R = 1/FC  and thus depends on frequency and capacitance.

This is a valid approximation when your signal of interest is well below the sampling frequency, F.

What this shows is that you can implement an equivalent resistance with a switched capacitor!!  Very amazing.  James Maxwell figured this out in the 1800s!!!

Why is it so amazing?  Geez...why not just use a resistor???

If you use this structure along with a fixed capacitor in a filter structure (for example), the performance is determined by CAPACITOR RATIOS and not on absolute capacitance values.  Thus you can implement very precise filters in monolithic form because capacitors can be matched very precisely!!

[I have glossed over a huge body of material with a simple explanation in hopes of getting you over the hurdle of understanding switched capacitors]




« Last Edit: January 22, 2018, 03:37:11 am by Wimberleytech »
 

Offline CopperConeTopic starter

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Re: frequency responce of switched capacitor based amplifier (ltc6943)?
« Reply #3 on: January 22, 2018, 05:51:02 pm »
What is well bellow the sampling frequency? 2x like nyquist?

Will give the article a read.
 

Offline Wimberleytech

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Re: frequency responce of switched capacitor based amplifier (ltc6943)?
« Reply #4 on: January 22, 2018, 05:56:21 pm »
What is well bellow the sampling frequency? 2x like nyquist?

Will give the article a read.

At least 10X.  To minimize requirements on smoothing filter, 30X.
« Last Edit: January 22, 2018, 06:22:03 pm by Wimberleytech »
 


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