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#N canvas 139 346 714 532 10;
#X obj 63 51 inlet;
#X floatatom 522 134 5 0 0 0 - - -;
#X obj 101 153 t f f;
#X msg 101 108 0.667;
#X msg 82 283 0;
#X obj 517 270 loadbang;
#X obj 528 298 inlet;
#X obj 517 322 f;
#X obj 517 346 expr 1 - 2*$f1;
#X obj 63 79 t b b b f;
#X obj 205 228 * -1;
#X obj 163 228 t f f;
#X obj 63 391 f;
#X obj 30 463 outlet;
#X text 515 237 1 to normalize at Nyquist;
#X text 59 30 characteristic frequency \, 0(DC) to 1(Nyquist);
#X obj 283 470 outlet;
#X obj 439 472 outlet;
#X text 439 494 imag2a;
#X text 283 492 real1;
#X text 374 494 real2;
#X obj 500 473 outlet;
#X text 500 495 imag2b;
#X obj 373 470 outlet;
#X text 27 485 normalizer1;
#X obj 173 470 outlet;
#X text 170 492 normalizer2;
#X obj 156 436 expr (($f2-$f1)*($f2-$f1)+$f3*$f3);
#X obj 63 412 t f f;
#X obj 101 176 expr (1 - $f2*$f2) / (1 + $f2*$f2 + 2*$f2*cos($f1))
;
#X obj 163 205 expr 2*$f2*sin($f1) / (1 + $f2*$f2 + 2*$f2*cos($f1))
;
#X obj 82 307 expr (1 - $f2*$f2) / (1 + $f2*$f2 + 2*$f2*cos($f1));
#X obj 522 89 clip 0 1;
#X obj 522 111 expr tan($f1*1.57);
#X obj 101 131 expr $f1*1.5708;
#X text 515 251 0 to normalize at DC;
#X text 119 4 3-pole (or zero) Butterworth filter coefficient calculator
;
#X text 145 109 "theta" in units of pi/2;
#X text 211 138 conjugate pair of pole/zero locations:;
#X text 197 155 real part: (1-r*r)/(1+r*r-2rcos(th));
#X text 245 226 imaginary part: 2rsin(th)/(...);
#X text 270 282 real-valued one \, theta=0;
#X obj 30 439 expr abs($f1-$f2);
#X connect 0 0 9 0;
#X connect 1 0 29 1;
#X connect 1 0 30 1;
#X connect 1 0 31 1;
#X connect 2 0 29 0;
#X connect 2 1 30 0;
#X connect 3 0 34 0;
#X connect 4 0 31 0;
#X connect 5 0 7 0;
#X connect 6 0 7 0;
#X connect 7 0 8 0;
#X connect 8 0 12 1;
#X connect 9 0 12 0;
#X connect 9 1 4 0;
#X connect 9 2 3 0;
#X connect 9 3 32 0;
#X connect 10 0 21 0;
#X connect 11 0 17 0;
#X connect 11 0 27 2;
#X connect 11 1 10 0;
#X connect 12 0 28 0;
#X connect 27 0 25 0;
#X connect 28 0 42 0;
#X connect 28 1 27 0;
#X connect 29 0 23 0;
#X connect 29 0 27 1;
#X connect 30 0 11 0;
#X connect 31 0 16 0;
#X connect 31 0 42 1;
#X connect 32 0 33 0;
#X connect 33 0 1 0;
#X connect 34 0 2 0;
#X connect 42 0 13 0;
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