1.1k citations · 1.4k across the 5 of their papers we have counts for
5 papers
Statistics of a multi-factor function from its Fourier transform
Matthew A. Herman, Stephen Doro
For a phenomenon that is a function of factors, defined on a finite abelian group , we derive its population statistics solely from its Fourier transform $\…
On the Fourier transform of a quantitative trait: Implications for compressive sensing
Stephen Doro, Matthew A. Herman
This paper explores the genotype-phenotype relationship. It outlines conditions under which the dependence of a quantitative trait on the genome might be predictable, based on meas…
Mixed Operators in Compressed Sensing
Matthew A. Herman, Deanna Needell
Applications of compressed sensing motivate the possibility of using different operators to encode and decode a signal of interest. Since it is clear that the operators cannot be t…
General Deviants: An Analysis of Perturbations in Compressed Sensing
Matthew A. Herman, Thomas Strohmer
We analyze the Basis Pursuit recovery of signals with general perturbations. Previous studies have only considered partially perturbed observations Ax + e. Here, x is a signal whic…
High-Resolution Radar via Compressed Sensing
Matthew A. Herman, Thomas Strohmer
A stylized compressed sensing radar is proposed in which the time-frequency plane is discretized into an N by N grid. Assuming the number of targets K is small (i.e., K much less t…