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We consider a point-like observer that moves in a medium illuminated by noisesources with Lorentz-invariant spectrum. We show that the autocorrelationfunction of the signal recorded by the observer allows it to perceive itsenvironment. More precisely, we consider an observer with constant acceleration(along a Rindler trajectory) and we exploit the recent work on the emergence ofthe Green's function from the cross correlation of signals transmitted by noisesources. First we recover the result that the signal recorded by the observerhas a constant Wigner transform, i.e. a constant local spectrum, when themedium is homogeneous (this is the classical analogue of the Unruh effect). Wecomplete that result by showing that the Rindler trajectory is the onlystraight-line trajectory that satisfies this property. We also show that, inthe presence of an obstacle in the form of an infinite perfect mirror, theWigner transform is perturbed when the observer comes into the neighborhood ofthe obstacle. The perturbation makes it possible for the observer to determineits position relative to the obstacle once the entire trajectory has beentraversed.

How a moving passive observer can perceive its environment ? The Unruh effect revisited