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An adaptive waveform method for aperture optimization

Classical detection theory for sensing relies on fixed target illumination and independent identically distributed noise for target and clutter characterization. Unfortunately in many cases such as sensing and communications in urban or atmospheric scenarios, we encounter much more complex clutter and target conditions due to scattering from multiple sources. As a result we must envision a new sensing scheme to combat noise not handled by classical sensing methods. We will therefore develop framework whereby we can use the waveform to manage the physical scattering process such that our return statistics conform to the classical detection assumption such as independent identically distributed data. We will first describe how to use a well known set of waveforms in the context of a given aperture and how these waveforms propagate when we consider the wideband multi-frequency nature of the waveform. To accomplish this we will characterize different apertures in the context of varying amounts of instantaneous bandwidth and center frequency using coherence length and coherence time of the waveform in the aperture. We will then characterize the scattering process in the same context and show how the waveform must be designed using coherence principles of the scattering environment. Finally will show how our waveform process improves our discrimination performance and conclude with a detection example of this process.