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PETAL: Physics Emulation Through Averaged Linearizations for Solving Inverse Problems
Jihui Jin, Etienne Ollivier, Richard Touret +3
Inverse problems describe the task of recovering an underlying signal of interest given observables. Typically, the observables are related via some non-linear forward model applie…
Iterative Broadband Source Localization
Coleman DeLude, Rakshith Sharma, Santhosh Karnik +3
In this paper we consider the problem of localizing a set of broadband sources from a finite window of measurements. In the case of narrowband sources this can be reduced to the pr…
Streaming Reconstruction from Non-uniform Samples
Justin Romberg
We present an online algorithm for reconstructing a signal from a set of non-uniform samples. By representing the signal using compactly supported basis functions, we show how esti…
Broadband Beamforming via Linear Embedding
Coleman DeLude, Santhosh Karnik, Mark Davenport +1
In modern applications multi-sensor arrays are subject to an ever-present demand to accommodate signals with higher bandwidths. Standard methods for broadband beamforming, namely d…
Thomson's Multitaper Method Revisited
Santhosh Karnik, Justin Romberg, Mark A. Davenport
Thomson's multitaper method estimates the power spectrum of a signal from equally spaced samples by averaging tapered periodograms. Discrete prolate spheroidal sequences (D…
Trading beams for bandwidth: Imaging with randomized beamforming
Rakshith Sharma Srinivasa, Mark A. Davenport, Justin Romberg
We study the problem of actively imaging a range-limited far-field scene using an antenna array. We describe how the range limit imposes structure in the measurements across multip…