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#X msg 69 117 clear;
#X obj 96 512 lop~;
#X text 10 512 see also:;
#X obj 52 7 rpole~;
#X text 114 7 real one-pole (recursive) filter \, raw;
#X text 8 35 Rpole~ filters an audio signal (left inlet) via a one-pole
real filter \, whose coefficient is controlled by a creation argument
or by an audio signal (right inlet).;
#X obj 95 441 rzero~;
#X obj 35 463 cpole~;
#X obj 35 441 rpole~;
#X obj 154 441 rzero_rev~;
#X obj 95 463 czero~;
#X obj 154 463 czero_rev~;
#X text 253 441 real;
#X text 252 464 complex;
#X text 32 425 1-pole;
#X text 92 425 1-zero;
#X text 142 425 1-zero \, reversed;
#X text 57 410 summary of raw filters:;
#X msg 71 143 set 1;
#X text 119 142 <-- set internal state;
#X text 132 86 <-- signal to filter;
#X text 150 173 <-- filter coefficient (may be a signal);
#X text 150 195 <-- creation argument initializes filter coefficient
;
#X text 10 310 The transfer function is H(Z) = 1/(1 - aZ^-1).;
#X text 121 117 <-- clear internal state to zero;
#X text 11 272 where y[n] is the output \, x[n] the input \, and a[n]
the filter coefficient. The filter is unstable if/when |a[n]|>1.;
#X obj 53 195 rpole~ 0.9;
#X text 14 230 The action of rpole~ is:;
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#X msg 97 137 set 1;
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#X obj 172 182 / 100;
#X obj 214 256 dac~;
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#X obj 214 220 *~;
#X obj 230 197 / 10;
#X text 80 18 Stuff to test it:;
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#X connect 2 0 3 0;
#X connect 4 0 2 0;
#X connect 4 0 12 0;
#X connect 5 0 6 1;
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#X restore 457 427 pd test;
#X text 136 512 etc.: user-friendly filters;
#X text 8 331 (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 73 252 y[n] = x[n] + a[n] * y[n-1];
#X text 413 511 updated for Pd version 0.42;
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