#N canvas 207 159 864 663 12; #X obj 327 413 line~; #X obj 55 456 cos~; #N canvas 0 0 450 300 graph1 0; #X array pulse-output 882 float 0; #X coords 0 1 882 -1 200 130 1; #X restore 627 339 graph; #X obj 327 390 pack 0 50; #X floatatom 327 344 0 0 0 0 - - -; #X obj 55 355 -~ 0.5; #X obj 55 410 *~; #X obj 327 367 / 10; #X obj 55 433 clip~ -0.5 0.5; #X text 327 322 bandwidth; #X obj 327 436 +~ 1; #X obj 55 479 +~ 1; #X obj 206 491 cos~; #X obj 56 547 *~; #X floatatom 228 346 4 0 0 0 - - -; #X obj 228 366 / 10; #X text 627 472 --- 0.02 seconds ---; #X obj 206 465 *~; #N canvas 129 316 777 218 graph 1; #X obj 70 76 inlet~; #X obj 662 76 inlet; #X obj 67 143 tabwrite~ pulse-output; #X obj 298 81 inlet~; #X obj 472 74 inlet~; #X obj 295 148 tabwrite~ window; #X obj 477 149 tabwrite~ carrier; #X msg 654 140 \; pd dsp 1; #X connect 0 0 2 0; #X connect 1 0 2 0; #X connect 1 0 5 0; #X connect 1 0 6 0; #X connect 1 0 7 0; #X connect 3 0 5 0; #X connect 4 0 6 0; #X restore 100 572 pd graph; #X obj 228 412 line~; #X obj 228 389 pack 0 50; #N canvas 0 0 450 300 graph3 0; #X array carrier 882 float 0; #X coords 0 1 881 -1 200 140 1; #X restore 627 188 graph; #N canvas 0 0 450 300 graph4 0; #X array window 882 float 0; #X coords 0 1 881 -1 200 140 1; #X restore 628 35 graph; #X text 204 573 <-- graph; #X floatatom 55 310 4 0 0 0 - - -; #X obj 55 331 phasor~ 100; #X text 31 2 WINDOWED PACKETS; #X text 51 266 fundamental; #X text 206 260 center; #X text 204 279 freq. (in; #X text 203 298 tenths of; #X text 202 318 fundamental); #X text 119 493 window; #X text 241 469 magnified phase; #X text 283 509 desired center frequency; #X text 255 492 <--this cosine goes at the; #X text 284 528 but its phase is reset each; #X text 282 547 fundamental period.; #X text 28 32 The simpler of two techniques for making slidable center frequencies is to synthesize enveloped sinusoidal wave packets. The packets should repeat at the fundamental frequency \, but the frequency of the packet itself controls the center frequency of the formant. The length of the packet varies inversely with bandwidth.; #X obj 55 604 output~; #X obj 55 580 hip~; #X obj 182 573 bng 18 250 50 0 empty empty empty 0 -6 0 8 -262144 -1 -1; #X text 601 635 updated for Pd version 0.37; #X obj 55 502 *~ 0.5; #X text 831 161 -1; #X text 833 31 1; #X text 831 314 -1; #X text 835 184 1; #X text 832 458 -1; #X text 835 333 1; #X text 26 132 In the patch below \, the "clip~" followed by "cos~" and "+~ 1" is the enveloping ("windowing") function \, which appears in the top graph. The carrier \, on the other hand \, is a broken sinusoid made by amplifying the phasor~ (the "*~" controlled by "center freq.") and taking the cos~ of the result. The "breaks" in the sinusoid only occur when the enveloping signal is zero.; #X text 105 464 raised; #X text 113 479 cosine; #X text 51 285 frequency; #X connect 0 0 10 0; #X connect 1 0 11 0; #X connect 3 0 0 0; #X connect 4 0 7 0; #X connect 5 0 6 0; #X connect 5 0 17 0; #X connect 6 0 8 0; #X connect 7 0 3 0; #X connect 8 0 1 0; #X connect 10 0 6 1; #X connect 11 0 43 0; #X connect 12 0 13 1; #X connect 12 0 18 2; #X connect 13 0 18 0; #X connect 13 0 40 0; #X connect 14 0 15 0; #X connect 15 0 20 0; #X connect 17 0 12 0; #X connect 19 0 17 1; #X connect 20 0 19 0; #X connect 24 0 25 0; #X connect 25 0 5 0; #X connect 40 0 39 0; #X connect 40 0 39 1; #X connect 41 0 18 3; #X connect 43 0 13 0; #X connect 43 0 18 1;