From efa45f81b5dcb9609b1e2365a51b7a25a1ba2ce0 Mon Sep 17 00:00:00 2001 From: Georg Holzmann Date: Tue, 12 Jul 2005 14:09:53 +0000 Subject: initial commit of adaptive svn path=/trunk/externals/grh/; revision=3317 --- adaptive/doc/help-lms~.pd | 179 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 179 insertions(+) create mode 100755 adaptive/doc/help-lms~.pd (limited to 'adaptive/doc/help-lms~.pd') diff --git a/adaptive/doc/help-lms~.pd b/adaptive/doc/help-lms~.pd new file mode 100755 index 0000000..b16149e --- /dev/null +++ b/adaptive/doc/help-lms~.pd @@ -0,0 +1,179 @@ +#N canvas 148 190 700 570 10; +#X msg 395 341 getmu; +#X msg 395 320 mu \$1; +#X floatatom 403 301 8 0 0 0 - - -; +#X msg 395 376 getN; +#X msg 395 465 help; +#X msg 395 196 clear; +#X msg 395 263 print; +#X floatatom 37 365 8 0 0 0 - - -; +#X msg 395 433 read demo.dat; +#X msg 395 163 getadaptation; +#X obj 395 120 tgl 15 0 empty empty empty 0 -6 0 8 -262144 -1 -1 0 +1; +#X msg 395 141 adaptation \$1; +#X msg 395 412 write demo.dat; +#X text 36 122 LMS: least mean square adaptation algorithm; +#X obj 45 279 r message; +#X obj 395 494 s message; +#N canvas 0 0 260 260 unsig~ 0; +#X obj 22 42 inlet~; +#X text 62 42 ~signal_in~; +#X obj 22 168 outlet; +#X text 69 169 float-out; +#X obj 22 142 snapshot~; +#X obj 39 119 metro 300; +#X obj 40 70 loadbang; +#X msg 40 95 1; +#X connect 0 0 4 0; +#X connect 4 0 2 0; +#X connect 5 0 4 0; +#X connect 6 0 7 0; +#X connect 7 0 5 0; +#X restore 37 343 pd unsig~; +#X text 89 219 input signal x[n]; +#X text 169 248 reference signal d[n]; +#X text 169 263 (desired signal); +#X text 108 344 output signal y[n]; +#X obj 37 304 lms~ 2 1e-04; +#X text 35 160 init arg1: nr. of coefficients; +#X text 498 141 turn adaptation on/off; +#X text 443 190 clear current coefficients; +#X text 443 203 and set them back to 0; +#X text 444 262 print current coefficients; +#X text 35 173 init arg2: stepsize parameter mu; +#X text 446 324 set/get stepsize parameter; +#X text 447 338 mu (learning rate); +#X text 436 376 get Nr. of coefficients; +#X text 506 429 and mu to file; +#X text 506 415 write/read coefficients; +#X text 223 536 (c) Georg Holzmann \, 2005; +#N canvas 347 29 502 634 LMS_EXPLANATION 0; +#X text 35 135 x[n] ... input signal of the system; +#X text 35 120 c[n] ... coefficient vector of the system; +#X text 35 104 y[n] ... output signal of the system; +#X text 43 369 d[n] ... desired signal \, reference signal; +#X text 50 74 -> y[n] = c0[n]*x[n] + c1[n]*x[n-1] + c2[n]*x[n-2] + +...; +#X text 32 195 The LMS Adaptation Algorithm:; +#X text 70 226 c[n] = c[n-1] + mu*e[n]*x[n]; +#X text 43 309 mu ... step-size parameter (learning rate); +#X text 42 279 c[n] ... new coefficient vector; +#X text 42 294 c[n-1] ... old coefficient vector; +#X text 42 325 e[n] ... error sample at time n \, LMS tries to minimize +this error; +#X text 43 353 x[n] ... tap-input vector at time n; +#X text 71 241 with e[n] = d[n] - y[n]; +#X text 33 33 An adaptive system is simply a FIR filter with the coefficients +c[n] \, which can be learned.; +#X text 104 485 0 < mu < 2/(abs(x[n])^2); +#X text 38 517 -> abs(x[n])^2 is the tap-input energy; +#X text 60 532 at time n (lenght of x[n] is PDs; +#X text 35 579 Note: this only ensures "stability on average"; +#X text 60 547 blocksize - so use block~ to change it!); +#X text 34 432 How to choose mu ?; +#X text 34 455 Sufficient (deterministic) stability condition:; +#X restore 38 429 pd LMS_EXPLANATION; +#X text 36 407 some more info:; +#N canvas 536 326 510 502 LMS_EXAMPLE 0; +#X obj 31 109 sig~ 2; +#X obj 108 109 sig~ 1; +#X text 36 87 x[n]; +#X text 116 90 d[n]; +#X text 31 234 y[n]; +#X obj 40 159 r \$0-lms; +#X text 115 28 x[n] = 2 \, d[n] = 1 \, N = 1 (= nr. of coefficients) +; +#X text 26 29 EXAMPLE:; +#N canvas 0 0 450 300 graph3 0; +#X array x 1024 float 0; +#X array y 1024 float 0; +#X array d 1024 float 0; +#X coords 0 2 1023 0 400 140 1; +#X restore 51 302 graph; +#N canvas 422 247 725 220 plot_logic 0; +#X obj 72 168 tabwrite~ x; +#X obj 158 168 tabwrite~ y; +#X obj 244 168 tabwrite~ d; +#X obj 191 105 metro 100; +#X obj 191 54 loadbang; +#X msg 191 80 1; +#X obj 386 57 loadbang; +#X obj 72 142 r~ x_; +#X obj 158 142 r~ y_; +#X obj 244 142 r~ d_; +#X msg 362 153 \; x yticks 0 0.25 2; +#X msg 346 121 \; x xticks 0 32 2; +#X msg 503 150 \; x ylabel 1060 0 0.5 1 1.5 2; +#X msg 479 105 \; x xlabel -0.2 0 256 512 768 1024; +#X connect 3 0 0 0; +#X connect 3 0 1 0; +#X connect 3 0 2 0; +#X connect 4 0 5 0; +#X connect 5 0 3 0; +#X connect 6 0 11 0; +#X connect 6 0 10 0; +#X connect 6 0 13 0; +#X connect 6 0 12 0; +#X connect 7 0 0 0; +#X connect 8 0 1 0; +#X connect 9 0 2 0; +#X restore 198 246 pd plot_logic; +#X obj 341 244 s \$0-lms; +#X msg 341 220 adaptation 1; +#X obj 341 199 loadbang; +#X obj 198 207 s \$0-lms; +#X msg 198 171 mu \$1; +#X floatatom 210 150 8 0 0 0 - - -; +#X text 275 147 <- try different mu; +#X msg 199 109 clear; +#X text 242 110 <- clear to start new adaptation; +#X obj 30 181 lms~ 1 1e-05; +#X text 189 461 -- 1024 samples --; +#X obj 37 131 s~ x_; 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