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working out problems with tophat fft

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caes 2016-08-13 17:14:57 -04:00
parent 7fcedb6ef3
commit bf88001dc8
1 changed files with 8 additions and 6 deletions
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14
scripts/tophat_fft.pl
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@ -12,7 +12,7 @@ my $twoPI = 2*3.1415926539;
our $xres=.001; our $xres=.001;
our $xmin = 0; our $xmin = 0;
our $xmax = 250; our $xmax = 250;
our $num_bins = ($xmax-$xmin)/$xres; our $xbins = ($xmax-$xmin)/$xres;
# tophat parameters # tophat parameters
my $μ1=15; my $μ1=15;
@ -22,7 +22,7 @@ my $Δ2=5; # full width
my $μ3=15; my $μ3=15;
my $Δ3=5; # full width my $Δ3=5; # full width
say "Creating $num_bins bins"; say "Creating $xbins bins";
# Complex Number z(x) = u(x) + iv(x) # Complex Number z(x) = u(x) + iv(x)
my @th_list=tophat($μ1,$Δ1); my @th_list=tophat($μ1,$Δ1);
@ -34,8 +34,8 @@ foreach (('1','2','3')) {
# Output time-domain tophat # Output time-domain tophat
open $tophattab, '>', "analyses/tables/tophat${$_}.tab"; open $tophattab, '>', "analyses/tables/tophat${$_}.tab";
for ($i=0; $i < $num_bins; $i++) { for ($i=0; $i < $xbins; $i++) {
my $x_coord = ($xmax-$xmin)*($i/$num_bins) + $xmin; my $x_coord = ($xmax-$xmin)*($i/$xbins) + $xmin;
say $tophattab "$x_coord $th_list[$i]"; say $tophattab "$x_coord $th_list[$i]";
} }
close $tophattab; close $tophattab;
@ -49,6 +49,8 @@ foreach (('1','2','3')) {
say "Found $num_elements elements."; say "Found $num_elements elements.";
$f = $U->xlinvals(-($num_elements/2-1)/$num_elements/$xres,1/2/$xres)->rotate(-($num_elements/2 -1)); $f = $U->xlinvals(-($num_elements/2-1)/$num_elements/$xres,1/2/$xres)->rotate(-($num_elements/2 -1));
say "$f[1]";
my $φdiff = atan2($V,$U); my $φdiff = atan2($V,$U);
my $timelag = $φdiff/($twoPI*$f); my $timelag = $φdiff/($twoPI*$f);
@ -60,8 +62,8 @@ sub tophat {
(my $mean,my $width) = @_; (my $mean,my $width) = @_;
my $halfwidth = $width/2; my $halfwidth = $width/2;
my @vals = (); my @vals = ();
for ($i=0; $i < $num_bins; $i++) { for ($i=0; $i < $xbins; $i++) {
my $x_coord = ($xmax-$xmin)*($i/$num_bins) + $xmin; my $x_coord = ($xmax-$xmin)*($i/$xbins) + $xmin;
if ($x_coord >= ($mean - $halfwidth ) && $x_coord <= ($mean + $halfwidth)) { push @vals, 1/$width; } if ($x_coord >= ($mean - $halfwidth ) && $x_coord <= ($mean + $halfwidth)) { push @vals, 1/$width; }
else { push @vals, 0; } else { push @vals, 0; }
} }