I'm working on a radiation detection problem. I have simulated some measurement count data and want to add an amount of Poisson background noise to achieve a certain SNR. Radiation count measurement (due to the background radiation) is given by the Poisson random variable.
After searching the web, I'm not seeing any clear indication of how to go about it doing this. Is there a similar method as in the case of AWGN? (https://www.mathworks.com/help/comm/ref/awgn.html).