A general formalism is developed that describes the generation of short‐ and long‐range echoes in an ensemble of independent nonlinear oscillators such as exemplified by piezoelectric powder particles. The basic physical model is one of self‐parametric interaction in which a parameter of the oscillating system is modulated by the oscillation in the system itself. The resulting formalism, which is similar to the one used in holography, correctly describes the observed echo phenomena. Moreover, it implies the possibility of more general signal storage, analogous to holography. To test the theory, a model has been built consisting of 20 nonlinearLCcircuits. Experimental results confirm the existence of both short‐ and long‐range echoes; some of the more detailed implications of the formalism that concern pulse shape are also borne out by the experiment.