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Imaging and Sensing (Waves) Seminar

September 13, 2022 - 3:00pm

Where: 362B (ACS building)

When: 15:00-16:00

Speaker: Arnold Kim

Title: Tunably high-resolution synthetic aperture imaging

Abstract: We begin by reviewing a quantitative signal subspace imaging for multifrequency synthetic aperture imaging. The key to this method is a pre-processing step that rearranges the frequency response at each spatial location using the Prony method which produces a matrix that is suitable for quantitative signal subspace methods. This method also involves a user-defined parameter that can be used to tune the resolution. However, this method is limited to problems where the signal can be reliably distinguished from noise. To consider more general problems, we identify the elementary mechanism in this quantitative signal subspace method that leads to tunable resolution which allows us to propose a simple extension to Kirchhoff migration. This modification to Kirchhoff migration produces tunably high-resolution images for larger ranges of signal-to-noise ratios. We show numerical simulations that demonstrate the utility of these methods.