Problem 220. Signal filtering

Solution 106686

Submitted on 5 Jul 2012 by Vitaly Lavrukhin

Size: 11
This is the leading solution.

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Test Suite

Test	Status	Code Input and Output
1	Pass	%% y = sin(2pi(0:0.0001:0.9999)100)' + randn(10000,1); z = filt(y); assert((sin(2pi(0:0.0001:0.9999)100)z/norm(sin(2pi(0:0.0001:0.9999)100))/norm(z))>0.95) ans = 1.295049119166158 -0.125524367793599 0.556340998412282 0.396490446641920 0.530671060524859 0.618707033059491 0.582870144717946 0.644520122128274 0.631083985091196 0.645373448841063 0.722892592256471 0.744643447011348 0.771645719191512 0.822355893119660 0.867507469326160 0.811282623076140 0.856969653593166 0.900956354640907 0.853479591586216 0.834763501539282 0.828096188626547 0.815613783380661 0.773703483753381 0.813133613059319 0.807934258178615 0.750996025681656 0.829073747868346 0.775589252130227 0.748009027262272 0.793184626410277 0.750415067299693 0.720635950465054 0.722082465205732 0.720438318620909 0.628834201741925 0.526777748545785 0.467186875025376 0.465098308045009 0.493003322241279 0.460498600984461 0.458455018673070 0.435615660683244 0.420455091017450 0.442042387252284 0.424162182218396 0.434733644419070 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-0.8658875844051...
2	Pass	%% y = chirp(0:0.0001:0.9999,50,1,150)' + randn(10000,1); z = filt(y); assert((chirp(0:0.0001:0.9999,50,1,150)*z/norm(chirp(0:0.0001:0.9999,50,1,150))/norm(z))>0.95) ans = -1.217082640057913 0.067470055038734 0.245341785715612 0.260757451652993 0.387429687761286 0.533793652074586 0.703209448130852 0.759852930968373 0.871900785794899 0.932300078097850 0.928099504444968 0.897859139177961 0.973369143383629 0.957966062238952 0.894072090644047 0.961719907692658 0.910372851183790 1.014993445862356 1.049499137779367 1.032735332814044 1.073090496405855 1.074255645483634 1.042289905098166 1.061082784740899 1.060749790561673 1.027591781884614 1.030872631901599 1.001938142716658 0.973949510771096 0.932617093112237 0.896998736297916 0.813566774727087 0.758693901994984 0.700263260607875 0.719268117784377 0.678177369328464 0.698825952717598 0.633451099954009 0.462154353887182 0.378894179439418 0.288757760484989 0.300885127754653 0.293169949261003 0.292117367531374 0.330813256377817 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1.021094376177764 1.005516770980010 1.042198160425286 1.053160722092536 1.061427797259992 1.033616253472717 1.041310494521402 1.053706621332704 0.987796103624873 1.022542544485566 1.080900262583910 1.097500975387377 1.099474356355891 1.111963917527980 1.151418296598228 1.132610703850251 1.200157884296629 1.141361808734387 1.110505810438614 1.101993985684718 1.197124130477950 1.217940328374591 1.142923011386026 1.121651486226652 1.117869451217215 1.156259459439205 1.121903597530404 1.193047966923679 1.200328247651058 1.123740647872947 1.181881573008954 1.087538819967635 1.035515741102480 1.033869675511677 1.030295467218894 1.053687061259350 1.009170419908407 1.009361547981616 1.050063623670053 1.016160910308256 0.936635809951199 0.918159147884314 0.960355288641760 0.941465207473028 0.942925501138419 0.844766527171695 0.848662043397231 0.789370867221224 0.757571709945625 0.602888819644437 0.573963656397051 0.512560597212346 0.451342737868038 0.419293287460655 0.405640536419066 0.362477100079135 0.344586764536053 0.329115145541941 0.303390313303926 0.237715768725793 0.190701041457126 0.163018952227258 0.092090069249345 0.073772129234713 0.035121368602311 0.039538959704654 0.035773869043446 -0.057843632064882 -0.077254571330624 -0.150054865993144 -0.215335562142664 -0.298740370252259 -0.383354296267800 -0.368101882664752 -0.312807444234348 -0.297137698158368 -0.310332753317861 -0.299484128959682 -0.311033116683733 -0.350510509282811 -0.341894664222647 -0.340477024922217 -0.353509054960453 -0.364782454794913 -0.388726765531839 -0.506151136758211 -0.533756555542172 -0.533545376226086 -0.571463056227431 -0.589830433208223 -0.549285469821911 -0.582730583208024 -0.521524765220708 -0.543559673774447 -0.632586517295858 -0.685806941042601 -0.682711540309416 -0.729184374181362 -0.694434290007402 -0.703599409145886 -0.778738739890771 -0.772495169349721 -0.866597006031245 -0.945397857587852 -1.005952846864724 -1.016186612884868 -1.041373323240257 -1.053654897069400 -1.061701615824798 -1.0774594317197...

Test

Status

Code Input and Output

Pass

%% y = sin(2*pi*(0:0.0001:0.9999)*100)' + randn(10000,1); z = filt(y); assert((sin(2*pi*(0:0.0001:0.9999)*100)*z/norm(sin(2*pi*(0:0.0001:0.9999)*100))/norm(z))>0.95)

ans = 1.295049119166158 -0.125524367793599 0.556340998412282 0.396490446641920 0.530671060524859 0.618707033059491 0.582870144717946 0.644520122128274 0.631083985091196 0.645373448841063 0.722892592256471 0.744643447011348 0.771645719191512 0.822355893119660 0.867507469326160 0.811282623076140 0.856969653593166 0.900956354640907 0.853479591586216 0.834763501539282 0.828096188626547 0.815613783380661 0.773703483753381 0.813133613059319 0.807934258178615 0.750996025681656 0.829073747868346 0.775589252130227 0.748009027262272 0.793184626410277 0.750415067299693 0.720635950465054 0.722082465205732 0.720438318620909 0.628834201741925 0.526777748545785 0.467186875025376 0.465098308045009 0.493003322241279 0.460498600984461 0.458455018673070 0.435615660683244 0.420455091017450 0.442042387252284 0.424162182218396 0.434733644419070 0.399657007464516 0.389267488628613 0.380784957751564 0.319066620421366 0.279930700530653 0.255728791230557 0.223385609801633 0.220674957756736 0.187450905874670 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0.808264408273639 0.784751131845837 0.856451025155153 0.939118496936310 0.959384982051805 0.972996408066319 1.046642485111894 1.116751876099816 1.090238181153144 1.022869580060195 1.032800484799821 1.078342590756199 0.931761363847376 0.880691443064975 0.956459206968886 1.023894224177442 1.097418326466864 1.140707112525075 1.197461776298087 1.124089131211404 1.023545519365582 0.981722264694479 0.865674089526690 0.748856460844903 0.692631404130315 0.550009142199613 0.582418428710684 0.576991717616939 0.503981437460474 0.411387753848139 0.459005411785522 0.412516155093726 0.400261349305420 0.347335061604617 0.182215326156514 0.070847683322506 -0.004449751756503 -0.152013981744905 -0.132724911648329 -0.154989342741217 -0.233006073036208 -0.182208333573700 -0.214086420078548 -0.235279745912587 -0.359716079096297 -0.497193213621676 -0.560916215569115 -0.617467079218967 -0.597059060236237 -0.665000137755206 -0.684099059390016 -0.639567780800508 -0.676955242485110 -0.743823843564217 -0.628883536559041 -0.685246654658904 -0.696968678420934 -0.756366485414899 -0.800585733346744 -0.829325467068044 -0.931915341364084 -1.056806205613208 -1.103461696068043 -1.051288293913040 -1.021737210495511 -0.970487942156885 -0.931007945304772 -0.944280348518306 -0.908908477860533 -0.868684061128980 -0.927035458244113 -0.823286315147229 -0.883670068787840 -0.819425874999076 -0.760652482855700 -0.759500371958539 -0.787585092775235 -0.747370723287652 -0.659315398433748 -0.609516852863466 -0.607416919515656 -0.519221521521342 -0.471673615099888 -0.516558661602889 -0.523739498220273 -0.463359229237365 -0.330051204983807 -0.224019332683159 -0.175161476245182 -0.026529262644802 0.097343003250143 0.206052674978694 0.205429148207357 0.252238882221317 0.248996340336201 0.350790575489429 0.389306183708220 0.407591664440400 0.447013243281569 0.514145197547447 0.464003497121807 0.515226527370764 0.524196116767796 0.591849729924586 0.681151272360045 0.714553080141788 0.708439464408885 0.728459637891829 0.730673699229320 0.762450007464800 0.695924652267709 0.713847597872922 0.753183990548080 0.723714862308004 0.747987688964695 0.693876665139397 0.574609508846644 0.565326005483571 0.546127776895772 0.504910651183911 0.489810802805156 0.493426136421829 0.413129912208546 0.405289266687300 0.377019150732156 0.353593953902825 0.232803895314839 0.090140201992283 0.068039408216320 0.023720975458132 0.030170301002985 0.027358540595453 -0.013183440700212 -0.016819903775282 -0.065761523831261 -0.110106562589033 -0.077662329662965 -0.062870274088727 -0.165123883011088 -0.140281653894021 -0.222590932078163 -0.290247545067237 -0.255762709830803 -0.303869430643386 -0.353009354429639 -0.333607124969889 -0.394193402702804 -0.460142740240124 -0.461935794627295 -0.487944079534673 -0.554264924031951 -0.546259779143710 -0.510265334972774 -0.523409079719584 -0.567531449173772 -0.509617437562558 -0.423711561977421 -0.428803170653184 -0.437791382195952 -0.466149984236814 -0.471580312918799 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0.981526784535039 0.975960906829374 0.990468639451188 0.932988971209491 0.865001429626598 0.778878244266089 0.774423855961359 0.703410777016088 0.595039230244783 0.548339210661857 0.557179850033886 0.507054728083214 0.481466685550859 0.507034091011071 0.458825134215327 0.360979314431523 0.322436190709525 0.362317426096851 0.296166786410641 0.296362957135711 0.240754065716360 0.226650597223311 0.098031388262266 0.007794213336749 -0.051679940899439 -0.121634334923711 -0.142385838285474 -0.277275157815460 -0.337453213930278 -0.423203563355200 -0.477231210811489 -0.535338066144682 -0.590180281815001 -0.591266277974626 -0.588536869122463 -0.615898228282957 -0.649373042973202 -0.621580075161605 -0.628622965835663 -0.689111040374745 -0.728793700679190 -0.809800397336922 -0.831568501457984 -0.794543243358382 -0.793187272545576 -0.883001036548367 -0.8658875844051...

Pass

%% y = chirp(0:0.0001:0.9999,50,1,150)' + randn(10000,1); z = filt(y); assert((chirp(0:0.0001:0.9999,50,1,150)*z/norm(chirp(0:0.0001:0.9999,50,1,150))/norm(z))>0.95)

ans = -1.217082640057913 0.067470055038734 0.245341785715612 0.260757451652993 0.387429687761286 0.533793652074586 0.703209448130852 0.759852930968373 0.871900785794899 0.932300078097850 0.928099504444968 0.897859139177961 0.973369143383629 0.957966062238952 0.894072090644047 0.961719907692658 0.910372851183790 1.014993445862356 1.049499137779367 1.032735332814044 1.073090496405855 1.074255645483634 1.042289905098166 1.061082784740899 1.060749790561673 1.027591781884614 1.030872631901599 1.001938142716658 0.973949510771096 0.932617093112237 0.896998736297916 0.813566774727087 0.758693901994984 0.700263260607875 0.719268117784377 0.678177369328464 0.698825952717598 0.633451099954009 0.462154353887182 0.378894179439418 0.288757760484989 0.300885127754653 0.293169949261003 0.292117367531374 0.330813256377817 0.315445507589174 0.235058413328873 0.217128407746563 0.169966802557080 0.125504806561657 0.070515956495190 0.025527287797525 -0.021877960078691 -0.093096083529246 -0.132372565091935 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Problem 220. Signal filtering

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Problem 220. Signal filtering

Test Suite

Suggested Problems

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