title: Sonar pulse wave form optimization in cluttered environments.
abstract: A theory of active sonar (or radar) pulse wave form design, for optimal target detection in cluttered environments, is presented. The received target signal is maximized via a cost function L that incorporates both the signal-to-noise ratio and a generalization of the Heisenberg uncertainty principle, which is used to balance bandwidth (or range resolution) against signal gain. The optimal pulse wave form is the ground state solution to a one-dimensional Schrödinger-type equation in frequency space, with an effective potential energy that tends to concentrate pulse energy in frequency bands where the target reflectivity dominates the clutter reflectivity.
authors.affiliation: BAE Systems, Advanced Information Technologies, 6 New England Executive Place, Burlington, Massachusetts 01803, USA.
authors.forename: Peter B
authors.initials: PB
authors.lastname: Weichman