Signal to Noise Ratio calculation

Chromatography Forum: LC Archives: Signal to Noise Ratio calculation
Top of pagePrevious messageNext messageBottom of pageLink to this message  By anila on Tuesday, October 7, 2003 - 05:20 am:

EP says 2*H/h, I could not interpret correctly.
In order to get S/n ratio, do I have to multiply Height by two times and then divide by noise?


Top of pagePrevious messageNext messageBottom of pageLink to this message  By durk on Tuesday, October 7, 2003 - 07:06 am:

Hi Anila,

I don't know the formula stands for but to me the S/N ratio could be calculated very simple. You divide the signal (=height in cm) of a peak by the noise (=height in cm). The noise height is the height from the highest to the lowest absorbance over a range of some minutes.

Durk


Top of pagePrevious messageNext messageBottom of pageLink to this message  By bookoon on Tuesday, October 7, 2003 - 09:35 am:

what software are you using.
most of them has an inbuilt calculator.


Top of pagePrevious messageNext messageBottom of pageLink to this message  By anila on Tuesday, October 7, 2003 - 07:55 pm:

In European Pharmacopoeia under heading of "Chromatographic separation techniques" 2.2.46, given a formula for signal to noise ratio under "Precision of quantification" as 2*H/h.

I'm using Waters millinieum and Agilent Chemstation.

Hope understood my problem.


Top of pagePrevious messageNext messageBottom of pageLink to this message  By labcat on Wednesday, October 8, 2003 - 12:37 am:

Anila, I think you understood correctly the formula.
I perform the same calculation (that is multiply peak height by 2 times and then divide by noise). Using Chemstation, you have to choose the "Point-To-Point" method to get the noise value.


Top of pagePrevious messageNext messageBottom of pageLink to this message  By anila on Wednesday, October 8, 2003 - 01:26 am:

With this calculation, for obtaining S/N ratio of 2 or 3, the height of the peak is almost equal to noise. How can we integrate then.


Top of pagePrevious messageNext messageBottom of pageLink to this message  By labcat on Wednesday, October 8, 2003 - 07:25 am:

Integrate is always possible, more difficult is to be reproducible... and it is not compulsory to reach SNR=2/3!
But normally I only have to give results until the LOQ, so I consider it more important than LOD. For LOQ a SNR=10 gives (with DAD-UV) reasonable CV values. Moreover, it is also possible to use other criteria to set LOD.


Top of pagePrevious messageNext messageBottom of pageLink to this message  By anila on Wednesday, October 8, 2003 - 08:10 pm:

Is the formula for signal to noise ratio means

Signal/noise or 2*signal/noise.?

If criteria = 2,
Then 2*Signal/noise =2
==> Signal/noise = 1
==> Signal = Noise
So, the response due to our peak = noise.
So, Even if we add some sample , there will not be any reponse.

Is my iterpretation is correct?


Top of pagePrevious messageNext messageBottom of pageLink to this message  By anila on Sunday, October 12, 2003 - 07:57 pm:

can anybody clarify me!


Top of pagePrevious messageNext messageBottom of pageLink to this message  By HW Mueller on Monday, October 13, 2003 - 12:07 am:

anila: Just forget about this factor of 2. Report your S/N by dividing your peak hight by the baseline width. If this S/N is below a certain number consider your peak to be uncertain. (Usually a figure of 2 to 4 is used for the limiting criteria, that means that some people are confident that they see an analyte peak when they get something 2x higher than their baseline width, other people are not sure until the have something 3x or 4x higher)


Top of pagePrevious messageNext messageBottom of pageLink to this message  By anila on Monday, October 13, 2003 - 01:03 am:

Thanks Mueller.

But, why the Ph.Eur saying to multiply by 2, under the section for Precision of quantification.

Any how my doubt is cleared now regarding the formula for S/N.

Thanks to all.


Top of pagePrevious messageNext messageBottom of pageLink to this message  By A. Buske on Monday, October 13, 2003 - 02:58 am:

The EP factor of 2 was introduced because noise is deviates from the baseline up- and downwards and peaks are almost always positive.
If your noise is 4 (µV or whatever) 2 will bee above mean and 2 below. A peak height of 4 will be above (mean baseline). In that case you have a S/N = 2H/h = 2*4 /4 = 2. The peak is certainly higher than the noise.
LOD is required be ICH validation guideline. I personally do not understand the reason, as the important criterion is the LOD (often set to S/N = 10).

"If criteria = 2,
Then 2*Signal/noise =2
==> Signal/noise = 1
==> Signal = Noise "
Wrong! Signal is above baseline, noise is 0.5 above baseline, 0.5 below baseline, so ppeak height from baselin is 2*noise from baseline.

Alex


Top of pagePrevious messageNext messageBottom of pageLink to this message  By anila on Monday, October 13, 2003 - 08:02 pm:

Thanks Alex,

Then what does the term " Precision of quantificaiton" meant for..., under which the said formula given.


Top of pagePrevious messageNext messageBottom of pageLink to this message  By A. Buske on Wednesday, October 15, 2003 - 03:53 am:

Without looking into the EP: The "Precision of quantification" depends on S/N.
Prepare solutions at five levels from - lets say - dection limit to 50*detection limit. Inject each solution six times. Plot the RSD of peak areas against the concentration and you will see what I think its meant. And then tell us the results.

Alex


Top of pagePrevious messageNext messageBottom of pageLink to this message  By anila on Wednesday, October 15, 2003 - 10:50 pm:

Thank you very much. I also looked at some text books and found the similar explanation as what you are telling.


Top of pagePrevious messageNext messageBottom of pageLink to this message  By Girish M Masand on Sunday, June 13, 2004 - 08:04 pm:

If I don't see peak eitheir to left or right of my main peak in that case how to calculate limit of detection or (S/N ratio) . In other words my sample is 99.9 % pure.


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