File:Illustration of causal and non-causal filters.png
Original file (734 × 662 pixels, file size: 78 KB, MIME type: image/png)
Captions
Summary
[edit]DescriptionIllustration of causal and non-causal filters.png |
English: Each component of the causal filter output begins when its stimulus begins. The outputs of the non-causal filter begin before the stimulus begins |
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Date | ||||
Source | Own work (Transferred by Bob K) | |||
Author | Bob K | |||
Permission (Reusing this file) |
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Other versions | Derivative works of this file: Illustration of causal and non-causal filters.svg | |||
Octave/gnuplot source InfoField | click to expand
This graphic was created with the help of the following Octave script: % Options
frame_background_gray = true;
if frame_background_gray
graphics_toolkit("qt") % has "insert text" option
% graphics_toolkit("fltk") % has cursor coordinate readout
frame_background = .94*[1 1 1];
d = 4; % amount to add to text sizes
else
graphics_toolkit("gnuplot") % background will be white regardless of value below
frame_background = .94*[1 1 1];
d=0;
endif
xmax = 1000; % length of plots
L = 100; % length of rectangles
% (https://octave.org/doc/v4.2.1/Graphics-Object-Properties.html#Graphics-Object-Properties)
% Speed things up when using Gnuplot
set(0, "DefaultFigureColor",frame_background)
set(0, "DefaultAxesTitleFontweight","normal")
set(0, "DefaultAxesFontsize",12+d) % size of numeric tick labels
% set(0, "DefaultTextFontsize",12+d)
set(0, "DefaultAxesYlim",[0 2])
set(0, "DefaultAxesXlim",0.02*([-200 xmax]))
set(0, "DefaultAxesYtick",[])
set(0, "DefaultLineLinewidth",2)
%=======================================================
hfig = figure("position",[1 -150 735 835]);
x1 = .02; % left margin
x2 = .02; % right margin
y1 = .08; % bottom margin for annotation
y2 = .10; % top margin for title
dy = .10; % vertical space between rows
width = 1-x1-x2;
height= (1-y1-y2-3*dy)/4; % space allocated for each of 4 rows
x_origin = x1;
y_origin = 1; % start at top of graph area
%=======================================================
y_origin = y_origin -y2 -height; % position of top row
subplot("position",[x_origin y_origin width height])
f = [zeros(1,200) ones(1,L) zeros(1,100)];
plot(0.02*([1:length(f)]-250), f ,"r" )
title("h(t) (non-causal impulse response)", "fontsize",14+d)
%=======================================================
y_origin = y_origin -dy -height;
subplot("position",[x_origin y_origin width height])
plot(0.02*([1:length(f)]-200), f, "b" )
title("h(t-1) (causal impulse response)", "fontsize",14+d)
%=======================================================
y_origin = y_origin -dy -height;
subplot("position",[x_origin y_origin width height])
a = [zeros(1,200) ones(1,L) zeros(1,250) 0.5*ones(1,100) zeros(1,250) 0.25*ones(1,100) zeros(1,200)];
plot(0.02*([1:length(a)]-200), a,"m")
ylim([0 2*max(a)])
title("Input", "fontsize",14+d)
%=======================================================
y_origin = y_origin -dy -height;
subplot("position",[x_origin y_origin width height])
b = conv(a,f);
c = b(200:end);
plot(0.02*([1:length(c)]-250), c, "r", 0.02*([1:length(c)]-200), c, "b")
ylim([0 max(b)])
legend("f(t) non-causal output", "f(t-1) (causal output)")
title("Outputs", "fontsize",14+d)
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Original upload log
[edit]Upload date | User | Bytes | Dimensions | Comment
- 2012-01-02 21:41:06 | Bob K | 32150 | 1470×1671 | remove gray background
- 2005-12-12 00:25:17 | Bob K | 6466 | 483×585 | I created this figure myself, using Matlab tools.
- 2005-12-11 23:47:49 | Bob K | 5782 | 441×659 | I created this figure myself, using Matlab tools.
- 2005-12-11 23:34:00 | Bob K | 5727 | 429×635 | I created this figure myself, using Matlab tools.
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 08:55, 2 February 2020 | 734 × 662 (78 KB) | Bob K (talk | contribs) | minor cleanup | |
18:57, 1 February 2020 | 734 × 685 (86 KB) | Bob K (talk | contribs) | wider lines | ||
18:47, 1 February 2020 | 734 × 685 (67 KB) | Bob K (talk | contribs) | gray background restored, using qt instead of gnuplot | ||
02:20, 7 January 2012 | 1,470 × 1,671 (31 KB) | OgreBot (talk | contribs) | (BOT): Reverting to most recent version before archival | ||
02:20, 7 January 2012 | 483 × 585 (6 KB) | OgreBot (talk | contribs) | (BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2005-12-12 00:25:17 by Bob K | ||
02:20, 7 January 2012 | 441 × 659 (6 KB) | OgreBot (talk | contribs) | (BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2005-12-11 23:47:49 by Bob K | ||
02:20, 7 January 2012 | 429 × 635 (6 KB) | OgreBot (talk | contribs) | (BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2005-12-11 23:34:00 by Bob K | ||
13:35, 6 January 2012 | 1,470 × 1,671 (31 KB) | Bob K (talk | contribs) | {{BotMoveToCommons|en.wikipedia|year={{subst:CURRENTYEAR}}|month={{subst:CURRENTMONTHNAME}}|day={{subst:CURRENTDAY}}}} The upload bot is User:CommonsHelper2 Bot which is called by [http://toolserver.org/~commonshelper2/index.php CommonsHelper2]. The t |
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Horizontal resolution | 37.8 dpc |
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Vertical resolution | 37.8 dpc |