Tags:
Graduate
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Postdoc
| Time: | 11:00AM - 12:00PM |
| Location: | Simons Auditorium |
| Speakers: | Fernando Guevara Vasquez, Fernando Guevara Vasquez |
| Abstract: | Consider the problem of imaging a reflector (target) from recordings of the echoes resulting from probing the medium with waves emanating from an array of transducers (the array response matrix). We present an algorithm that selectively illuminates the edges or the interior of an extended target by choosing particular subspaces of the array response matrix. For a homogeneous background medium, we characterize these subspaces in terms of the singular functions of a space and wave number restricting operator, which are also called generalized prolate spheroidal wave functions. We discuss results indicating what can be expected from using this algorithm when the medium fluctuates around a constant background medium and the fluctuations can be modeled as a random field. |