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#X restore 616 193 graph;
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#X text 671 499 frequency;
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#X text 35 195 This subpatch loads initial;
#X text 31 219 values in number boxes.;
#X msg 22 91 \; \$1-pole 60 \; \$1-zero 20;
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#X restore 328 602 pd startup;
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#X text 554 481 gain=0;
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#X text 594 182 5;
#X text 611 492 0;
#X text 599 423 1;
#X text 596 596 updated for Pd version 0.39;
#X text 183 10 PEAKING FILTER;
#X floatatom 406 366 3 0 180 0 - #0-pole -;
#X text 415 328 angle;
#X text 399 344 (degrees);
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#X obj 241 515 *;
#X obj 405 460 t b f;
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#X obj 209 543 cpole~;
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#X text 266 332 pole and zero;
#X text 284 347 radii (%);
#X obj 277 516 *;
#X obj 314 542 *;
#X obj 349 542 *;
#X text 21 34 To get a peaking filter \, start with a shelving filter
but rotate the pole and zero to the point on the unit circle you want
to amplify or attenuate. The rpole~ and rzero~ filters are replaced
with their complex-valued siblings \, cpole~ and czero~. These filters
take a (real \, imaginary) pair to filter and another (real-imaginary)
pair to specify the pole or zero. As for rpole~ and rzero~ \, the coefficients
may change at audio rate.;
#X text 22 162 The outputs of cpole~ and czero~ are also in the form
of a (real-imaginary) pair. Both outlets of cpole~ are connected to
czero~ in this example \, but then since we want a real-valued filter
\, we only take the real part of the (complex) output of czero~.;
#X text 23 246 Here the pole and zero radii (p and q) control the center-frequency
gain by the formula (1-q)/(1-p). The closer to 1 the radii \, the narrower
the band affected. The non-peak gain \, (1+q)/(1+p) \, is close to
1 as long as p and q are at least 50% or so.;
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