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#N canvas -10 52 610 611 12;
#X obj 54 90 osc~ 100;
#X msg 62 117 clear;
#X text 12 369 The transfer function is H(Z) = 1/(1 - aZ^-1).;
#X text 115 116 <-- clear internal state to zero;
#N canvas 168 90 498 357 test 0;
#X obj 76 78 osc~;
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#X obj 76 105 *~;
#X msg 85 132 set 1;
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#X obj 215 315 dac~;
#X obj 215 279 *~;
#X text 80 18 Stuff to test it:;
#X obj 241 106 cos~;
#X obj 77 227 cpole~;
#X obj 261 65 phasor~;
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#X restore 459 483 pd test;
#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 obj 52 7 cpole~;
#X text 114 7 complex one-pole (recursive) filter \, raw;
#X text 132 93 <-- signal to filter (real part);
#X text 130 173 <-- signal to filter (imaginary part);
#X obj 84 172 sig~;
#X obj 115 197 sig~;
#X text 162 199 <-- filter coefficient (real part);
#X obj 145 219 sig~;
#X obj 53 244 cpole~ 0.9 0.4;
#X text 159 246 <-- creation arguments initialize filter;
#X text 187 262 coefficient (real and imaginary part);
#X text 14 278 The action of cpole~ is:;
#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 unstable
if/when |a[n]|>1.;
#X text 12 27 Cpole~ filters a complex audio signal (first two inlets)
via a one-pole filter \, whose coefficients are controlled by creation
arguments or by another complex audio signal (remaining two inlets).
;
#X text 171 143 <-- set internal state (real&imaginary parts);
#X msg 64 143 set 0.6 0.8;
#X text 190 221 <-- filter coefficient (imaginary part);
#X text 73 300 y[n] = x[n] + a[n] * y[n-1];
#X obj 97 566 lop~;
#X text 11 566 see also:;
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#X obj 36 519 cpole~;
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#X text 255 497 real;
#X text 254 520 complex;
#X text 33 481 1-pole;
#X text 93 481 1-zero;
#X text 143 481 1-zero \, reversed;
#X text 58 466 summary of raw filters:;
#X text 137 566 etc.: user-friendly filters;
#X text 343 583 updated for Pd version 0.42;
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