Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session B11: Undergraduate Research III
11:15 AM–1:27 PM,
Monday, March 2, 2020
Room: 110
Sponsoring
Unit:
APS/SPS
Chair: Midhat Farooq, American Physical Society
Abstract: B11.00001 : Linear Optimum Filtering for Axion Dark Matter Search*
Presenter:
Sukhmanpreet Singh
(Yale University)
Author:
Sukhmanpreet Singh
(Yale University)
In this project, we present the theory and applications of linear optimum filters, namely the Wiener-Hopf and matched filters that minimize the mean-squared-error between processed and desired signals on MATLAB. By injecting random noise into an initially known signal, we present filtering techniques that allow us to perform the following three things: first, obtaining the best linear estimate of the desired signal d(n) from noisy data x(n); second, predicting a signal d(n+m) for m>0 from data x(n); and lastly, carrying out an a posteriori estimation of d(n+m) for m<0 from data x(n). By incorporating principles of optimization theory, this project helps speed up data analysis during the operation of the HAYSTAC experiment.
*I would like to thank Professor Steve Lamoreaux for funding this project.
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