Number theoretical design of optimal holographic targets for measurement of 3-D target motion

摘要

Motion detection retains a fascinating amount of scope for new ideas. Digital holography enables three-dimensional images to be recorded with high resolution and large depth of field. Appropriate design of a holographic target has the potential to unlock significant resolution gains from holographic measurement systems. In this paper, we explore the potential of proposed three-dimensional analogues of Costas arrays for the design of such targets. These innately sparse constructions have the potential to enable the use of additional compressive sensing techniques to unlock further gains in resolution.