Sigma delta MOD1 quantizer expression

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yefj

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Hello, I amh having trouble to deside the quantizer i am not sure about the expression for Vref and Vo,int regarding the time inside.

I dont know if these two expressions are true:
Why Vo,n=Vo,int+en
e_n is the noise of the quantizer
Vo,int is the signal before the quantizer
if its before the quantizer then they should be N-1 time , Vo,n=Vo,int_n-1+e_n-1
Why its on the same time??I cant see the logic in this.




 

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SD implements a unit delay between the quantizer input and the modulator. If the quantized output is delayed or not doesn't affect the feedback loop.
 

Ok So if i understand you correctly from the diagram shown bellow
Vo_n=V_int(n-1)+err(n-1 )
Vref remains the problem how should i define it ?
is there some similar developed implementation i could read?
Thank.

 

Hello,I am trying to figure out the development shown bellow of the SIGMA DELTA ADC transfer function. However the definition of Vref, and Vint are the same except the time if n-1 instead of n. very non imtuitive explanation. I cant find anywhere in the internet a similar switch capacitance implementation. Is there some anternative source of switch capacitor i can follow its development?
Thanks.


 

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