From bf8421abb6c24d92aa8843ade93e79276479b147 Mon Sep 17 00:00:00 2001 From: zeefaad Date: Thu, 23 Oct 2025 18:45:13 +0200 Subject: [PATCH] PLL --- QAM/c.py | 68 ++++ QAM/constellation.dat | 832 +++++++++++++++++++------------------- QAM/out | Bin 25216 -> 25240 bytes QAM/pll_constellation.gif | Bin 0 -> 280773 bytes QAM/pll_error.dat | 416 +++++++++++++++++++ QAM/qam.c | 67 ++- 6 files changed, 964 insertions(+), 419 deletions(-) create mode 100644 QAM/c.py create mode 100644 QAM/pll_constellation.gif create mode 100644 QAM/pll_error.dat diff --git a/QAM/c.py b/QAM/c.py new file mode 100644 index 0000000..edd633e --- /dev/null +++ b/QAM/c.py @@ -0,0 +1,68 @@ +import numpy as np +import matplotlib.pyplot as plt +from matplotlib.animation import FuncAnimation + +# --- Demande à l'utilisateur --- +user_input = input("GIF ? (o/n) : ").strip().lower() +GENERATE_GIF = user_input == 'o' + +# --- Fichiers --- +ref_file = "constellation_ref.dat" # constellation de référence +rx_file = "constellation.dat" # symboles corrigés par la PLL + +# Charger les données +ref_constel = np.loadtxt(ref_file) # colonnes I Q +rx_data = np.loadtxt(rx_file) # colonnes I Q + +# Paramètres +window_size = 50 # nombre de symboles à afficher dans la fenêtre +speed_factor = 5 # pour accélérer l'animation +N_frames = len(rx_data) + +# Figure +fig, ax = plt.subplots(figsize=(6,6)) +ax.set_title("Rolling Constellation avec PLL") +ax.set_xlabel("I") +ax.set_ylabel("Q") +ax.grid(True) + +# Constellation de référence +ax.scatter(ref_constel[:,0], ref_constel[:,1], c='red', marker='x', label='Référence') + +# Points PLL +scat = ax.scatter([], [], c='blue', s=20, label='Points récents') +last_point = ax.scatter([], [], c='green', s=50, label='Dernier symbole') + +ax.set_xlim(np.min(ref_constel[:,0])-0.5, np.max(ref_constel[:,0])+0.5) +ax.set_ylim(np.min(ref_constel[:,1])-0.5, np.max(ref_constel[:,1])+0.5) +ax.legend() + +# Initialisation +def init(): + scat.set_offsets(np.empty((0,2))) + last_point.set_offsets(np.empty((0,2))) + return scat, last_point + +# Mise à jour +def update(frame): + idx = min(frame*speed_factor, N_frames) + start_idx = max(0, idx - window_size) + data_window = rx_data[start_idx:idx] + + scat.set_offsets(data_window) + if len(data_window) > 0: + last_point.set_offsets(data_window[-1:]) + return scat, last_point + +# Création de l'animation +ani = FuncAnimation(fig, update, frames=int(N_frames/speed_factor)+1, + init_func=init, blit=True, interval=20) + +# --- Sauvegarde GIF conditionnelle --- +if GENERATE_GIF: + ani.save("pll_constellation.gif", writer='pillow', fps=30) + print("GIF généré : pll_constellation.gif") + +# Affichage à l'écran +plt.show() + diff --git a/QAM/constellation.dat b/QAM/constellation.dat index 76f0605..bb6ac2e 100644 --- a/QAM/constellation.dat +++ b/QAM/constellation.dat @@ -1,416 +1,416 @@ --0.48961254 -0.44544459 --0.46513110 1.40428312 --0.29307347 1.38893240 - 1.31089689 -0.55680171 --0.38632169 1.36097312 --0.33123545 1.38726262 --1.26549075 1.37974405 --1.49852105 -1.19958987 --0.31017669 1.30222164 - 1.50729893 1.24105325 --0.43017215 0.48948646 --0.54096932 -0.28558853 --0.26310886 1.41585924 --0.43457847 0.44417363 --0.19980151 1.35561085 --0.44785998 -0.33107245 --1.14331753 1.50994919 - 0.14820610 -1.42291697 --1.10811359 1.44551804 --1.57079461 -1.11961078 --0.38427593 0.43042485 --0.81528420 -1.22676725 --0.44084375 0.55211323 --1.12415715 1.46959617 --0.22904642 1.34965939 --0.50438838 -0.39136139 --0.20762621 1.38489848 - 0.33614255 -0.59435058 --0.42253847 0.49986333 --1.60347736 -0.95239233 --0.03566900 1.37591841 --0.51774331 -0.40091728 --0.44026540 0.59544844 - 1.61978249 0.94637465 --0.92149464 1.71093438 --1.56102417 -0.94051892 --0.01285030 1.38478328 --1.19627264 0.83013282 --0.06307302 1.47052202 --0.58523530 -0.26077664 --0.98115028 1.59689715 --1.66141576 -0.88628493 --0.00852613 1.43712353 --0.94510653 1.68296522 - 0.02796472 1.45841907 - 0.04359314 -1.43960140 - 0.02915805 1.41430273 - 0.59530686 0.23857004 - 0.01512380 1.39441413 - 0.87304003 1.07342230 - 0.03850944 1.47994568 --0.74819139 -1.08237048 --0.80309466 1.82889157 --1.69114176 -0.75838051 --0.22871349 0.55763008 --0.28017727 0.51990165 - 0.05134513 1.43745319 - 0.70298158 -1.76376530 - 0.06299865 1.44501145 - 1.04763519 -0.94454689 --0.14211486 0.57473317 --1.05659494 0.90567818 - 0.21562582 1.42864813 - 1.43794919 -0.18192650 --0.17191186 0.72065825 - 1.06943225 -1.00399960 --0.62563602 1.77948004 --1.75877350 -0.58976746 - 0.15742790 1.38156984 --1.36716105 0.18569423 --0.10959253 0.56159108 --1.38029979 0.27498475 --0.16662433 0.63815496 --0.69299949 -0.22078711 - 0.24097931 1.43158061 --0.56183026 -0.17886504 --0.20186054 0.69913865 --0.62490100 -0.14390235 --0.20291470 0.59305976 - 0.51209376 -1.90033204 --0.45613235 1.87052028 --0.33525878 -1.36406488 --0.52204801 1.87033049 --1.80395817 -0.49649028 --0.56417371 -0.09817205 - 0.33527724 1.34641187 - 0.25267449 1.38825080 - 0.89090250 -1.07383883 - 0.29405742 1.35820577 - 0.34849465 1.37038226 --0.31128450 1.84170483 --1.79739912 -0.39840073 - 0.33475505 1.42320930 - 1.73584529 0.41520891 --0.11884979 0.65144257 --0.58057834 -0.09703036 - 0.41486733 1.25197673 --0.08610506 0.61807043 - 0.48157488 1.34603546 --0.51959424 -0.10279402 --0.22181939 1.85567303 --0.43696196 -1.32625724 --0.22859344 1.91431107 --1.86197344 -0.21673157 --0.07335711 0.70160975 --1.19148834 -0.78920537 --0.13331574 0.62574148 --0.12591132 1.90861215 - 0.55253930 1.36648515 --0.61017418 -0.07900305 - 0.56494240 1.25763125 - 0.03588819 -0.60607038 --0.16605597 0.61282039 --1.83991758 -0.05832141 - 0.44707974 1.32300615 --0.58169728 -0.00595536 - 0.04035602 0.60491026 - 1.82488117 0.13148933 --0.09894890 1.85431403 --1.94432949 -0.01478929 - 0.65139963 1.21039977 --0.73792715 1.19409828 - 0.61274010 1.20774353 --0.55048746 0.06897033 --0.00216719 1.94731226 --1.90572088 -0.00961994 - 0.63257907 1.28332411 --0.03658697 1.88600425 - 0.72958333 1.30050643 --0.69441386 -1.20574763 - 0.59432528 1.18046372 - 0.57212587 0.03035341 - 0.72664451 1.15150859 - 1.33739250 0.53193906 - 0.65798374 1.22337579 --1.27476518 -0.49007002 - 0.05715084 1.91518006 --1.92376764 0.20568610 - 0.03337894 0.52213641 - 0.09766169 0.76246638 - 0.72672206 1.20756452 --0.24726369 -1.82461637 - 0.84049477 1.19627841 - 0.45402707 -1.32737360 - 0.10396333 0.67426301 --0.46558946 1.36599073 - 0.75612467 1.20061076 - 1.20224816 -0.82351951 - 0.09945559 0.64980823 - 0.40092147 -1.39275741 - 0.28095155 1.95902585 --1.89902051 0.38443177 - 0.81312652 1.06565550 --1.10523485 0.81614169 - 0.17539027 0.60607147 --1.08341524 0.85037101 - 0.11703295 0.56780442 --0.62514703 0.08280138 - 0.93688915 1.13972258 --0.62616770 0.08694894 - 0.07656169 0.60466805 --0.58304627 0.12275201 - 0.14060574 0.65332465 --0.46504121 -1.86336679 - 0.47300263 1.79896550 --0.91510621 -1.05313216 - 0.47114393 1.85433307 --1.77301753 0.46009286 --0.54507731 0.16083904 - 0.88330875 0.97594803 - 0.84930908 0.97970934 - 0.26180808 -1.39899938 - 0.92125691 0.88504166 - 1.04997851 1.00795302 - 0.52998259 1.81511825 --1.71489073 0.52823691 - 0.98904512 1.04053873 - 1.82532442 -0.57436133 - 0.13520730 0.50528308 --0.61914934 0.21982490 - 1.01503204 1.05277598 - 0.21159036 0.57605876 - 0.91660475 0.94049546 --0.61541016 0.29095564 - 0.62609787 1.74017153 --1.08752399 -0.99132647 - 0.76525865 1.72200222 --1.76420782 0.71663228 - 0.22353957 0.49553689 --1.36548697 -0.13614393 - 0.30057974 0.60480370 - 0.72688319 1.69890859 - 1.02144075 0.87191682 --0.53104473 0.20727986 - 1.12890578 0.89874637 --0.34307893 -0.59073421 - 0.21189859 0.47810079 --1.67898034 0.75335891 - 1.11877996 0.92515156 --0.53524443 0.19639758 - 0.40246637 0.55394168 - 1.71671976 -0.84851742 - 0.85241157 1.67085885 --1.65999861 0.88996632 - 1.14343675 0.77619951 - 0.01973882 1.50709965 - 1.23496270 0.84604907 --0.58865986 0.31450775 - 0.90706106 1.63673024 --1.64951586 0.99700496 - 1.23705620 0.79200846 - 0.90811187 1.69230330 - 1.21871516 0.77786107 --1.21417902 -0.82676679 - 1.21843545 0.79754650 - 0.46830390 -0.39568361 - 1.23591198 0.75994717 - 1.30664386 -0.15646879 - 1.20837214 0.66956495 --1.33597135 0.20770639 - 1.07684938 1.58402836 --1.63631303 0.97690329 - 0.42837377 0.46174780 - 0.33755803 0.49496571 - 1.28309836 0.72649413 --1.02856457 -1.51936209 - 1.27789182 0.74562945 --0.22354338 -1.43585457 - 0.40585314 0.61327824 - 0.18263466 1.44556002 - 1.29947395 0.65836781 - 0.67059393 -1.27143638 - 0.30976849 0.50595737 --0.35133388 -1.38306488 - 1.09424882 1.46139023 --1.54993037 1.18919991 - 1.26990578 0.58664272 --0.64627153 1.28576337 - 0.40915803 0.43278891 --0.60210501 1.29808665 - 0.31782993 0.51648304 --0.53174512 0.34997737 - 1.27252369 0.54738946 --0.50931719 0.38587497 - 0.37844860 0.43542442 --0.57010280 0.32272275 - 0.41449300 0.52494515 --1.27703904 -1.43171480 - 1.31351682 1.41133254 --1.33669046 -0.53197769 - 1.20667648 1.34711079 --1.36551992 1.34228552 --0.53606785 0.42397625 - 1.42643488 0.52754677 - 1.25063823 0.46187229 --0.38606726 -1.35182299 - 1.35171097 0.53935539 - 1.35062855 0.42160177 - 1.36233237 1.34029509 --1.31043230 1.34643901 - 1.38244016 0.39373355 - 1.25066238 -1.44855873 - 0.43200556 0.46788979 --0.42134427 0.47098778 - 1.36281212 0.46815575 - 0.44083823 0.36229051 - 1.38305322 0.32810010 --0.45110773 0.46380056 - 1.43603839 1.20120537 --1.32190338 -0.37624311 - 1.49449818 1.20125391 --1.20567682 1.55232534 - 0.58422493 0.41427894 --1.20715782 0.48988342 - 0.34866497 0.39151998 - 1.49886828 1.20337418 - 1.44048084 0.19095526 --0.39314298 0.50199366 - 1.37274013 0.21145366 --0.51646556 -0.34849968 - 0.46286982 0.32106549 --1.11795301 1.55817381 - 1.43635472 0.12670014 --0.45229655 0.46130994 - 0.51300846 0.36804529 - 1.09069505 -1.46299574 - 1.56406300 1.04566660 --0.99216278 1.57795669 - 1.48352041 0.22764812 - 0.67153229 1.22104534 - 1.38989645 0.16687950 --0.26628596 0.55482193 - 1.55176085 1.05592934 --1.00805648 1.59717399 - 1.39738347 0.13954744 - 1.64093666 1.09085350 - 1.33149219 0.07607907 --1.49718163 -0.19222213 - 1.46484721 0.11587303 - 0.30323162 -0.52722447 - 1.44154326 -0.04261822 - 1.15996483 -0.78417104 - 1.46808337 0.06327806 --1.13150524 0.70882611 - 1.73417711 0.92971637 --0.88679017 1.65283145 - 0.65323782 0.27004474 - 0.62156850 0.23908697 - 1.43120236 -0.01977933 --1.69704199 -0.81548161 - 1.50195468 -0.11010930 --0.89704982 -1.11511745 - 0.51339586 0.28540725 - 0.86939319 1.07216313 - 1.41848331 -0.03882423 --0.12057756 -1.45947991 - 0.69599133 0.22852746 --0.91695338 -1.05331735 - 1.78578231 0.74835257 --0.74016968 1.81822295 - 1.40289027 -0.11172712 - 0.07084859 1.43723720 - 0.58119839 0.21524718 - 0.04198519 1.49789145 - 0.57210920 0.22097615 --0.22366343 0.58627521 - 1.42455620 -0.12982301 --0.13362457 0.68263829 - 0.54696227 0.24686813 --0.24118480 0.58089469 - 0.56356655 0.30392984 --1.77517966 -0.69108184 - 1.83172461 0.61442927 --1.42019865 0.19993192 - 1.84241886 0.55973948 --0.54492246 1.84798540 --0.22529925 0.58683552 - 1.42416898 -0.22866871 - 1.44660767 -0.19126394 --1.06656064 -1.02613643 - 1.33374832 -0.27671784 - 1.35663736 -0.31437592 - 1.81277928 0.50904140 --0.42071499 1.94048571 - 1.34430120 -0.30054542 - 0.49215095 -1.80490515 - 0.55692097 0.14763690 --0.09100418 0.57967127 - 1.31097206 -0.32851058 - 0.60454127 0.10088269 - 1.38250158 -0.31253244 --0.03627446 0.57912606 - 1.85238460 0.35877373 --1.35123008 0.43176677 - 1.94955103 0.36646367 --0.35021803 1.81764768 - 0.64238008 0.17451633 --0.82792393 1.19165344 - 0.61155272 0.17222952 - 1.81529035 0.32912303 - 1.34665515 -0.39850446 --0.07146229 0.59176372 - 1.31666474 -0.42121180 --0.66679149 -0.07441151 - 0.65795799 0.16475121 --0.23277688 1.87718572 - 1.28531280 -0.57869031 --0.03715614 0.63080589 - 0.63786408 0.09445329 - 0.20978234 -1.91444420 - 1.89066545 0.19889781 --0.14577078 1.89789268 - 1.30375767 -0.50887943 - 1.20271768 0.69208730 - 1.33826305 -0.56560928 --0.06780183 0.63430771 - 1.93393669 0.05628379 --0.13854581 1.90279530 - 1.28577881 -0.54780021 - 1.89384896 0.06695432 - 1.33780890 -0.55354551 --1.25558620 0.66576944 - 1.33159009 -0.48283724 - 0.04017382 -0.64200065 - 1.23844040 -0.59677820 - 0.68829395 -1.26704094 - 1.29130299 -0.59222046 --0.67535838 1.20820049 - 1.93869890 -0.05791543 - 0.12713845 1.87484374 - 0.77657913 0.02040247 - 0.63160102 0.00660691 - 1.24244624 -0.67370943 --1.84109063 0.08797837 - 1.28182793 -0.69719047 --1.31319236 -0.52642967 - 0.63488504 -0.07598658 - 1.32781009 0.62256655 - 1.22594177 -0.71521729 --0.76582438 -1.24994760 - 0.63268726 -0.15553386 --1.32682719 -0.53291695 - 2.01777801 -0.13027800 - 0.14464114 1.90637156 - 1.12406593 -0.75712395 - 0.78498751 1.21465878 - 0.62142786 -0.04518144 - 0.77876616 1.15380949 - 0.61338544 -0.00774816 - 0.06401641 0.66848491 - 1.15548903 -0.83882198 - 0.12182780 0.68004504 - 0.54187921 -0.06399507 - 0.02153134 0.60988530 - 0.75335082 -0.07216479 --1.85238231 0.19396941 +-0.56017590 -0.42377949 +-0.45289523 1.51059437 +-0.07257432 1.43147803 + 1.27307169 -0.67005556 +-0.37967337 1.36566367 +-0.29333356 1.41363109 +-1.33315292 1.27215770 +-1.51359683 -1.23385338 +-0.37871841 1.17408296 + 1.43152849 1.43869158 +-0.52929376 0.42820425 +-0.57760543 -0.22573077 +-0.51247161 1.38475262 +-0.56765549 0.25187418 +-0.40404161 1.24995427 +-0.29429508 -0.34257885 +-1.49313732 1.15713334 + 0.39917364 -1.40846552 +-1.40466440 0.98792150 +-1.26379686 -1.51538156 +-0.47168254 0.20463768 +-0.71913005 -1.39946099 +-0.66378306 0.47166596 +-1.41483771 1.10231336 +-0.47819178 1.21832484 +-0.41889470 -0.50041356 +-0.38220082 1.32946665 + 0.37365887 -0.65804940 +-0.55966082 0.42508728 +-1.56075333 -0.94008134 + 0.06556035 1.33341442 +-0.48586063 -0.50163934 +-0.59018298 0.67782695 + 1.63890714 0.85050310 +-0.74794030 1.86791146 +-1.53179861 -0.77946016 + 0.26267466 1.32416755 +-1.05874201 1.08375705 + 0.27163575 1.52834151 +-0.65700148 -0.05629840 +-0.71673708 1.70588451 +-1.80369749 -0.46584331 + 0.37697228 1.42065476 +-0.59118366 1.88920409 + 0.47444261 1.44714133 +-0.30520153 -1.44651498 + 0.46287024 1.33856888 + 0.65884728 -0.03828696 + 0.52198669 1.26375960 + 1.22373302 0.55124560 + 0.75684246 1.37869460 +-1.01144015 -0.62726620 + 0.39573635 2.10090584 +-1.74711783 0.39637249 + 0.20810145 0.52232697 + 0.11032738 0.52879796 + 1.19169298 0.86674812 +-1.20811534 -1.46826148 + 1.36576595 0.60485822 +-0.58189221 -1.27964494 + 0.53520067 0.15282713 + 0.62664866 1.20916062 + 1.48665772 -0.14829934 +-0.17634645 -1.48935341 + 0.90249062 0.07726799 +-1.15109529 -1.02455858 + 1.84095788 0.33174592 +-0.18825800 1.78643369 + 1.28502734 -0.43995878 + 0.53709956 1.21817420 + 0.47170821 -0.18777161 + 0.85638798 1.11088085 + 0.67259516 -0.19240908 + 0.21664177 0.83241591 + 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qam, double complex* s_with_preamble, double complex* r_corr, int L, int total_samples, int nb_symbols, double Kp, double Ki, double alpha, FILE* fp_error) { + double phase_est = 0.0; + double integrator = 0.0; + double filtered_error = 0.0; + + int start_data_idx = L * qam->N; + int N = qam->N; + + for (int k = 0; k < nb_symbols; k++) { + double complex r_k = 0; + for (int n = 0; n < N; n++) { + int idx = start_data_idx + k * N + n; + double t = (double)idx / qam->Fs; + r_k += s_with_preamble[idx] * cexp(-2.0 * I * M_PI * qam->Fc * t) / A; + } + double complex r_symbol = r_k / N; + + r_symbol *= cexp(-I * phase_est); + + double min_dist = INFINITY; + double complex closest = 0; + for (int idx = 0; idx < qam->M; idx++) { + double dist = cabs(r_symbol - qam->constellation[idx]); + if (dist < min_dist) { + min_dist = dist; + closest = qam->constellation[idx]; + } + } + + double error = carg(r_symbol * conj(closest)); + + filtered_error = (1.0 - alpha) * filtered_error + alpha * error; + + integrator += Ki * filtered_error; + phase_est += Kp * filtered_error + integrator; + + if (fp_error) { + fprintf(fp_error, "%d % .8f\n", k, 100 * filtered_error); + fflush(fp_error); + } + + for (int n = 0; n < N; n++) { + int idx = start_data_idx + k * N + n; + r_corr[idx] = s_with_preamble[idx] * cexp(-I * phase_est); + } + } +} + + int main () { // Initialisation du system qam qam_system qam; @@ -354,7 +404,7 @@ int main () { double complex* s_with_preamble = concat_preamble_signal(preamble_mod, L, s_mod, nb_symbols, qam.N); // Ajout du bruit - add_noise(s_with_preamble, total_samples, 10); + add_noise(s_with_preamble, total_samples, 24); FILE *fp_ref = fopen("constellation_ref.dat", "w"); fill_constellation_data(&qam, fp_ref); @@ -364,7 +414,7 @@ int main () { add_dephasage(s_with_preamble, M_PI / 6.0 , total_samples); // AJout de decalage de fréquence - add_freq(&qam, s_with_preamble, 10, total_samples); + add_freq(&qam, s_with_preamble, 50, total_samples); // Estimation / correction du CFO cfo(s_with_preamble, qam.N, L, qam.Fs, total_samples, qam.Fc); @@ -373,10 +423,21 @@ int main () { // Correction phase po(&qam, s_with_preamble, preamble, L, total_samples); + // PLL + double complex* s_corrected = malloc(sizeof(double complex) * total_samples); + double Kp = 0.5; + double Ki = 0.01; + double alpha = 0.1; + FILE *fp_pll_error = fopen("pll_error.dat", "w"); + pll(&qam, s_with_preamble, s_corrected, L, total_samples, nb_symbols, Kp, Ki, alpha, fp_pll_error); + fclose(fp_pll_error); + + + // Démodulation FILE *fp_constel = fopen("constellation.dat", "w"); uint8_t* output_bits = (uint8_t*)malloc(nb_bits * sizeof(uint8_t)); - demodulate(&qam, s_with_preamble + L * qam.N, nb_symbols, output_bits, fp_constel); + demodulate(&qam, s_corrected + L * qam.N, nb_symbols, output_bits, fp_constel); fclose(fp_constel); // Reconstruction du texte