puredata-core 0.46.7-3 / usr / share / puredata / doc / 5.reference / czero~-help.pd

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#N canvas 79 19 533 567 12;
#X obj 54 90 osc~ 100;
#X msg 62 117 clear;
#X obj 79 547 lop~;
#X text 10 550 see also:;
#X text 333 549 updated for Pd version-0.38;
#X obj 86 497 rzero~;
#X obj 37 517 cpole~;
#X obj 37 497 rpole~;
#X obj 135 497 rzero_rev~;
#X obj 86 517 czero~;
#X obj 135 517 czero_rev~;
#X text 213 497 real;
#X text 212 518 complex;
#X text 34 481 1-pole;
#X text 83 481 1-zero;
#X text 133 481 1-zero \, reversed;
#X text 59 466 summary of raw filters:;
#X text 106 116 <-- clear internal state to zero;
#N canvas 255 257 585 372 test 0;
#X obj 152 296 env~ 16384;
#X floatatom 152 320 5 0 0 0 - - -;
#X floatatom 484 121 4 -1000 1000 0 - - -;
#X obj 349 324 dac~;
#X obj 349 288 *~;
#X obj 375 115 cos~;
#X floatatom 301 60 5 0 0 0 - - -;
#X obj 329 112 tgl 15 0 empty empty empty 0 -6 0 8 -262144 -1 -1 0
1;
#X obj 301 110 *~;
#X obj 301 83 phasor~;
#X floatatom 382 66 5 0 0 0 - - -;
#X obj 382 89 / 1000;
#X obj 408 116 -~ 0.25;
#X obj 408 138 cos~;
#X obj 484 140 / 1000;
#X obj 374 166 *~;
#X obj 408 166 *~;
#X obj 228 296 env~ 16384;
#X floatatom 228 320 5 0 0 0 - - -;
#X obj 381 284 dbtorms;
#X floatatom 382 264 5 0 0 0 - - -;
#X obj 245 220 czero~;
#X floatatom 201 132 4 -1000 1000 0 - - -;
#X obj 92 126 cos~;
#X obj 112 85 phasor~;
#X floatatom 115 60 5 0 0 0 - - -;
#X obj 125 127 -~ 0.25;
#X obj 125 149 cos~;
#X obj 201 151 / 1000;
#X obj 91 177 *~;
#X obj 125 177 *~;
#X text 214 27 Stuff to test it:;
#X connect 0 0 1 0;
#X connect 2 0 14 0;
#X connect 4 0 3 0;
#X connect 4 0 3 1;
#X connect 5 0 15 0;
#X connect 6 0 9 0;
#X connect 7 0 8 1;
#X connect 8 0 21 0;
#X connect 9 0 8 0;
#X connect 10 0 11 0;
#X connect 11 0 5 0;
#X connect 11 0 12 0;
#X connect 12 0 13 0;
#X connect 13 0 16 0;
#X connect 14 0 16 1;
#X connect 14 0 15 1;
#X connect 15 0 21 2;
#X connect 16 0 21 3;
#X connect 17 0 18 0;
#X connect 19 0 4 1;
#X connect 20 0 19 0;
#X connect 21 0 0 0;
#X connect 21 0 4 0;
#X connect 21 1 17 0;
#X connect 22 0 28 0;
#X connect 23 0 29 0;
#X connect 24 0 26 0;
#X connect 24 0 23 0;
#X connect 25 0 24 0;
#X connect 26 0 27 0;
#X connect 27 0 30 0;
#X connect 28 0 30 1;
#X connect 28 0 29 1;
#X connect 29 0 21 0;
#X connect 30 0 21 1;
#X restore 459 483 pd test;
#X text 113 550 etc.: user-friendly filters;
#X text 10 387 (Pd also provides a suite of user-friendly filters.
This and other raw filters are provided for situations which the user-friendly
ones can't handle. See Chapter 8 of http://crca.ucsd.edu/~msp/techniques
for an introduction to the necessary theory.);
#X text 118 91 <-- signal to filter (real part);
#X text 117 173 <-- signal to filter (imaginary part);
#X obj 84 172 sig~;
#X obj 115 197 sig~;
#X text 149 199 <-- filter coefficient (real part);
#X obj 145 219 sig~;
#X text 159 246 <-- creation arguments initialize filter;
#X text 187 262 coefficient (real and imaginary part);
#X text 150 144 <-- set internal state (real&imaginary parts);
#X msg 64 143 set 0.6 0.8;
#X obj 52 7 czero~;
#X text 112 7 complex one-zero (non-recursive) filter \, raw;
#X text 8 31 Czero~ filters a complex audio signal (first two inlets)
via a one-zero filter \, whose coefficients are controlled by creation
arguments or by another complex audio signal (remaining two inlets).
;
#X text 179 221 <-- filter coefficient (imaginary part);
#X text 14 279 The action of czero~ is:;
#X text 73 300 y[n] = x[n] - a[n] * x[n-1];
#X text 11 320 where y[n] is the output \, x[n] the input \, and a[n]
the filter coefficient (all complex numbers). The filter is always
stable.;
#X text 12 369 The transfer function is H(Z) = 1 - aZ^-1.;
#X obj 53 244 czero~ 0.9 0.4;
#X connect 0 0 39 0;
#X connect 1 0 39 0;
#X connect 23 0 39 1;
#X connect 24 0 39 2;
#X connect 26 0 39 3;
#X connect 30 0 39 0;

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