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+#N canvas 283 199 561 515 10;
+#X obj 4 474 cnv 15 550 20 empty \$0-pddp.cnv.footer empty 20 12 0
+14 -228856 -66577 0;
+#X obj 4 -17 cnv 15 550 40 empty \$0-pddp.cnv.header hanning~ 3 12
+0 18 -204280 -1 0;
+#X obj 3 239 cnv 3 550 3 empty \$0-pddp.cnv.inlets inlets 15 12 0 13
+-228856 -1 0;
+#X obj 3 299 cnv 3 550 3 empty \$0-pddp.cnv.outlets outlet 15 12 0
+13 -228856 -1 0;
+#X obj 3 359 cnv 3 550 3 empty \$0-pddp.cnv.more_info more_info 15
+12 0 13 -228856 -1 0;
+#X obj 72 259 cnv 17 3 30 empty \$0-pddp.cnv.let.0 0 5 9 0 16 -228856
+-162280 0;
+#X obj 170 141 hanning~;
+#N canvas 0 0 450 300 graph1 0;
+#X array \$0-hanning 64 float 0;
+#X coords 0 1 63 -1 200 140 1;
+#X restore 302 54 graph;
+#X text 168 53 0.5*(1+cos(pi*x));
+#X obj 170 121 sig~ 1;
+#X text 168 40 formula:;
+#X floatatom 170 104 5 0 0 0 - - -;
+#X obj 97 86 hsl 71 15 -1 1 0 0 empty empty empty -2 -6 0 10 -262144
+-1 -1 7000 1;
+#X msg 94 66 1;
+#X obj 94 46 loadbang;
+#X obj 435 6 pddp/pddplink http://wiki.puredata.info/en/hanning~ -text
+pdpedia: hanning~;
+#X obj 102 376 pddp/pddplink http://en.wikipedia.org/wiki/Hanning -text
+wikipedia: hanning function;
+#X obj 102 389 pddp/pddplink http://mathworld.wolfram.com/HanningFunction.html
+-text mathworld link;
+#X obj 102 363 pddp/pddplink http://en.wikipedia.org/wiki/Window_function
+-text wikipedia: window functions;
+#X obj 438 -14 import windowing;
+#X text 103 317 SIGNAL: a hanning (inverted cosine) window with size=dsp
+blocksize;
+#X msg 36 154 \; pd dsp 1;
+#X text 21 85 height --->;
+#X text 15 6 description: generates a hanning window for each dsp block
+;
+#X text 102 402 Windowing functions are used with FFTs. These transform
+the signal block-by-block into a spectral representation whose resolution
+in both the frequency and time domains are proportional to their size
+(as a power-of-two in PD). The different windows have different characteristics
+in terms of stopband attenuation and noise bandwidth.;
+#X obj 170 167 tabsend~ \$0-hanning;
+#X text 102 258 SIGNAL: the height (amplitude) of the window is controled
+by the signal on its inlet.;
+#X connect 6 0 25 0;
+#X connect 9 0 6 0;
+#X connect 11 0 9 0;
+#X connect 12 0 11 0;
+#X connect 13 0 12 0;
+#X connect 14 0 13 0;