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Double sampling (Read 2928 times)
Sanjay Rajasekhar
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Double sampling
Dec 14th, 2011, 10:32am
 
Hi guys,

I'm finding this a little confusing. Suppose, I have a double-sampled integrator (part of a sigma-delta ADC, being clocked at 10MHz, so sampling frequency is 20MHz). At the output of the integrator, I have a track and hold being clocked at 10Mhz, so sampling of the integrator output is at 10MHz. When I get input referred noise PSD from PNOISE sim, should I integrate it upto 5MHz (because output is sampled at 10MHz) or 10MHz (because input is sampled at 20MHz) to get the input referred noise power?

Thanks,
Sanjay
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Re: Double sampling
Reply #1 - Dec 14th, 2011, 11:31am
 
Regardless of the input, the output updates at a 10MHz rate, and so the output spectrum will be periodic with a period of 10MHz. As such, you should integrate from 0 to 5MHz (because the signal is real, the spectrum from -5MHz to 0 will be the complex conjugate of the spectrum from 0 to 5MHz, so you only need to integrate one side).

-Ken
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Sanjay Rajasekhar
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Re: Double sampling
Reply #2 - Dec 14th, 2011, 9:36pm
 
Thanks Ken.

If I understand correctly, when output is being sampled at 10MHz, it is obvious that the power is within [0,5MHz] bandwidth, and when input referred noise is simulated using pnoise itself, the whole of the input noise power should still be within the same band. I got confused because of the input double sampling.

So here is a follow up question for the same circuit. Suppose I put a noise source of power kT/C at the input for my double sampled integrator. The bandwidth of this noise source is about 1GHz, so there is heavy aliasing when double sampled. The rest of the circuit is noiseless and infinite bandwidth (ideal components), so no inadvertent loss of noise power. When I ask pnoise to give me input referred noise, I compare the noise density it gives me with sqrt((kT/C)/(5MHz)). I expect these to be equal. However I always get input PSD of sqrt(0.5*(kT/C)/(5MHz)) from pnoise. This was why I thought maybe the input power is spread upto 10MHz. I'm looking for an explanation as to why this is happening. Any ideas?

Thanks and regards,
Sanjay
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