# denoising floor function

Suppose that

$$y(t) = \lfloor x(t) + \epsilon(t) \rfloor$$,

where $$\epsilon(t)$$ is zero mean, independent noise.

Is there any techniques on recovering $$x(t)$$ from $$y(t)$$?

• I assume $\epsilon$ is of limited variance (i.e. power), and $x(t)$ is at least weak-sense stationary/has an autocorrelation function about which you know something, maybe? May 26 '20 at 9:36