Simulating a homogeneous Poisson process with finite number of points on $\mathbb{R}^2$

Question

I have to simulate a homogeneous Poisson Point Process on $\mathbb{R}^2$ with fixed number of points. Any hints as to how to do it would be helpful. I know that for a bounded region W we first generate a random variable M with a Poisson distribution with mean βA(W), where A(W) is the area of W. Given M = n, we then generate n independent uniform random points in W. But how do we do it when W is whole of the $\mathbb{R}^2$ plane