📄 windowmeyer.m
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function nu = WindowMeyer(xi,deg)
% WindowMeyer -- auxiliary window function for Meyer wavelets.
% Usage
% nu = WindowMeyer(xi,deg)
% Inputs
% xi abscissa values for window evaluation
% deg degree of the polynomial defining Nu on [0,1]
% 1 <= deg <= 3
% Outputs
% nu polynomial of degree 'deg' if x in [0,1]
% 1 if x > 1 and 0 if x < 0.
% See Also
% MeyerPartition
if deg == 0,
nu = xi;
else
if deg == 1,
nu = xi .^2 .* (3 - 2 .*xi) ;
else
if deg == 2,
nu = xi .^3 .* (10 - 15 .* xi + 6 .* xi .^2);
else
if deg == 3,
nu = xi.^4 .* ( 35 - 84 .* xi + 70 .* xi.^2 - 20 .* xi.^3);
end
end
end
end
ix0 = find(xi <= 0);
if length(ix0) > 0,
%size(ix0),
nu(ix0) = zeros(1,length(ix0));
end
ix1 = find(xi >= 1);
if length(ix1) > 0,
nu(ix1) = ones(1,length(ix1));
end
% Prepared for the thesis of Eric Kolaczyk, Stanford University, 1994
% Copyright (c) Eric Kolaczyk, 1994.
% Part of WaveLab Version 802
% Built Sunday, October 3, 1999 8:52:27 AM
% This is Copyrighted Material
% For Copying permissions see COPYING.m
% Comments? e-mail wavelab@stat.stanford.edu
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