The files herewith reproduce a superset of Fig 5. in "On the equivalence
between a minimal codomain cardinality Riesz basis construction, a
system of Hadamard-Sylvester operators, and a class of sparse, binary
optimisation problems", Nelson, IEEE TSP. 

Other figures are variations and extensions of these files. If you would
like those, please feel free to request them from the author by email. 

James Nelson, UCL
July, 2014
www.ucl.ac.uk/statistics/people/jamesnelson

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installation 

[1] place the files in the same directory as this read_me file somewhere
where Matlab can see them

[2] Download Alexander Hayes' format_ticks at:

  http://www.mathworks.com/matlabcentral/fileexchange/downloads/80726/download

[3] place format_ticks in a directory that Matlab can see it

[4] run main_search_par1_ord0.m to reproduce a superset of Fig 5.
Caveat: this will write around 15MB of .eps files to 'figures/ord_0'

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contents 

. CheckCreateDirs.m
  helper function to set up relevant dirs

. format_ticks.m
  3rd party function from Alexander Hayes to do pretty formatting of
plots

. GetEnorm0.m
  compute l1 and l2 norm error of construction 

. getPar.m
  construct helper params

. mainSearchPar1Ord0.m
  reproduce a superset of Fig 5 

. plotApprox0L1L2.m
  plot amplitude spectrum of (differenced) optimal construction 

. plotEnorm0L1L2.m
  plot the l1 and l2 norms of the constructions

. plotOrd0L1L2.m
  plot the optimal constructions for given weights and band      

. read_me.txt
  this file

. reconstructOrd0.m
  construct functions given parameters

. updateBar
  update gimmicky ascii waitbar

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