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Measurement for the amount of simulated noise

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Hi all,
I have an analytical function, say h. I want to test my algorithm against noise by adding hbar = h + n, where n follows a normal distribution with zero mean i.e. n ~ N(0, \sigma).
Now, how do I make a meaningful measurement of noise from \sigma? Like I want to have a percentage/DB for a value of SNR, but I don't know how to calculate that...
Many thanks,

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