# How to add noise with given autocorrelation to signal in Matlab?

My question is a mix of signal processing and Matlab coding.

I have an FIR filter with added noise $$w_n$$ $$x_n=\sum_{m=0}^{N_h-1}h_mg_{n-m}+w_n.$$

Now the noise $$w_n$$ has the autocorrelation $$E[w_nw_m]=\sigma^2e^{-|m-n|}.$$

How can I generate this noise in Matlab?