counterfeit_detection
counterfeit_detection
a MATLAB code which
considers problems in which one or more counterfeit coins
are to be identified by the fact that they do not have the standard weight.
Methods include:

brute force: weigh every coin and report those with bad weight;

combinatorial: assume there is only 1 bad coin, and that the number of coins is 2^n1.
carry out n weighings to determine the bad coin.

compressed sensing: weigh a certain number of random subsets of the coins
and solve an underdetermined linear system minimizing the l1 norm.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
the GNU LGPL license.
Languages:
counterfeit_detection is available in
a MATLAB version and
a Python version.
Related Data and Programs:
counterfeit_detection_test
Reference:

Kurt Bryan, Tanya Leise,
Making do with less: an introduction to compressed sensing,
SIAM Review,
Volume 55, Number 3, September 2013, pages 547566.
Source Code:
Last revised on 05 December 2020.