I just started on DSP and I have a question that I would like to ask.
I have a zero-mean uncorrelated wide sense stationary discrete-time random process {$x[n]$, $n$ is a set of integers}. $x[n]$ is input to a causal linear time-invariant system below, denoted by its transfer function $H(z)$.
$$x[n]{\longrightarrow}\boxed{H(z)}{\longrightarrow }y[n]$$
Since the output is a random process, suppose that its autocorrelation function, $R_y[k]$, is measured without approximation error.
From the information given, is there a method to identify the system transfer function, $H(z)$ or, equivalently, its impulse response, $h[n]$?