Nathan Fronk / Mbed 2 deprecated discretesample_QAM

for Danillo

Dependencies:   MBed_Adafruit-GPS-Library SDFileSystem mbed

Diff: QAM.h

Revision:
2:abcf77d0e77d
Parent:
1:f5770d9636b4
Child:
3:0cc40383d016
diff -r f5770d9636b4 -r abcf77d0e77d QAM.h
--- a/QAM.h	Tue Nov 18 08:50:58 2014 +0000
+++ b/QAM.h	Thu Dec 11 01:23:24 2014 +0000
@@ -1,99 +1,72 @@
 #include "mbed.h"
 #include "math.h"
 
-#define SAMPLE_LENGTH       512 
+#define SAMPLE_LENGTH       2000 
 #define NUM_TAPS            513
-#define CARRIER_FREQ        225
-#define TIME_CONST          0.00006
+#define CARRIER_FREQ        220
+#define TIME_CONST          0.0001
 #define PI                  3.14159265
 
-float firCoeffs[NUM_TAPS] = { -0.0192878684408550, -0.000565436854162197, -0.000574062372234321, -0.000581179079003090, -0.000589412242712984, -0.000596329290925752,
--0.000604183313496965, -0.000610787449621752, -0.000618254890021300, -0.000624441235452662, -0.000631532852699149, -0.000637317640388987, -0.000644060044878972, -0.000649408145295391, 
--0.000655730318423711, -0.000660536584899437, -0.000666350155348239, -0.000670543670441799, -0.000675811138190482, -0.000679345019980268, -0.000684011485494165, -0.000686779420740873,
--0.000690735948708760, -0.000692604062270113, -0.000695783521327534, -0.000696695831913496, -0.000699146857491809, -0.000699128468616956, -0.000700978318797988, -0.000700085972408138,
--0.000701562144359961, -0.000699960260396518, -0.000701552559161197, -0.000699587125715329, -0.000702084347004260, -0.000699951609455988, -0.000704184938277025, -0.000700822488823546, 
--0.000707053158406025, -0.000689238102101884, -0.000675432749281130, -0.000692284271988876, -0.000679003259712778, -0.000679427972422059, -0.000670867964963519, -0.000668435478754011, 
--0.000660330946718933, -0.000656187894249034, -0.000647892827216824, -0.000642486260779654, -0.000633714444974831, -0.000627154674611770, -0.000617702529114801, -0.000610043338194475, 
--0.000599831070682668, -0.000591137773968283, -0.000580109977377959, -0.000570367122683910, -0.000558402454183533, -0.000547524082087984, -0.000534508605134922, -0.000522458425410067, 
--0.000508372396429405, -0.000495193607822494, -0.000480069347179249, -0.000465821362319299, -0.000449698934449484, -0.000434475552201623, -0.000417460223522498, -0.000401443504121743, 
--0.000383669251697455, -0.000366972910244881, -0.000348312520886679, -0.000330677260377738, -0.000310488418329100, -0.000291306404219105, -0.000268590084163264, -0.000247735016213375, 
--0.000223063752779904, -0.000208020109997019, -0.000182718834161682, -0.000158038013340163, -0.000135672987348502, -0.000110658422989979, -8.63859218366082e-05, -6.07302747179699e-05, 
--3.52380267488923e-05, -8.75000381957480e-06, 1.79220776252956e-05, 4.53634810869086e-05, 7.31488512081353e-05, 0.000101522460573350, 0.000130337162460535, 0.000159652043314615, 
-0.000189518312913980, 0.000219864413943603, 0.000250843940298056, 0.000282270121591107, 0.000314346397337869, 0.000346811034408436, 0.000379918194843229, 0.000413368163653855, 
-0.000447462473702899, 0.000481854744689647, 0.000516877376372632, 0.000552121769556217, 0.000587977722826699, 0.000623999763683269, 0.000660700340823140, 0.000697608811340494, 
-0.000735367166639595, 0.000773394513145455, 0.000812374375990954, 0.000851487293223158, 0.000891382011561606, 0.000931001117497454, 0.000970883568971010, 0.00101069578059601, 
-0.00105169774350639, 0.00109588295343421, 0.00113549685886290, 0.00117866383169451, 0.00122111516589616, 0.00126425191781228, 0.00130756685560331, 0.00135135745612168, 
-0.00139547947313276, 0.00143990979242900, 0.00148466890906943, 0.00152967223986802, 0.00157503442488970, 0.00162066455214233, 0.00166668113637550, 0.00171297190814002, 
-0.00175961611250325, 0.00180649714239756, 0.00185367729128575, 0.00190106604757396, 0.00194872602458623, 0.00199658259647564, 0.00204468151104454, 0.00209294223259948, 
-0.00214139247713316, 0.00218996963721177, 0.00223871049041842, 0.00228761026923322, 0.00233669674897580, 0.00238601381783270, 0.00243548525436868, 0.00248518758501967, 
-0.00253485686222383, 0.00258470295716680, 0.00263426676950411, 0.00268414140692153, 0.00273361748949242, 0.00278404942218042, 0.00283412527109201, 0.00288512840396260, 
-0.00293445800039565, 0.00298408012351935, 0.00303527354743087, 0.00308448377238342, 0.00313512165505945, 0.00318474186231553, 0.00323506931441536, 0.00328460350198885, 
-0.00333460199814310, 0.00338400592135627, 0.00343378958762444, 0.00348308365845938, 0.00353265733443406, 0.00358174124596574, 0.00363100325859950, 0.00367976183349975, 
-0.00372865317317631, 0.00377704959506895, 0.00382555699048792, 0.00387355440986243, 0.00392161316870967, 0.00396912079239840, 0.00401664308061543, 0.00406360815542227, 
-0.00411058555257416, 0.00415703554738502, 0.00420348722135172, 0.00424939516950231, 0.00429522177839473, 0.00434042896145653, 0.00438546971668745, 0.00442986742204268, 
-0.00447414198154179, 0.00451784282884279, 0.00456156022215696, 0.00460464825220905, 0.00464779963068343, 0.00468955284268770, 0.00473169248365623, 0.00477223280278857, 
-0.00481424852813673, 0.00485403860423785, 0.00489420623498588, 0.00493373299658250, 0.00497262699146714, 0.00501099496582253, 0.00504887367893452, 0.00508624698184808, 
-0.00512316386346786, 0.00515946810910305, 0.00519528393985568, 0.00523039315379049, 0.00526503059762880, 0.00529893784256351, 0.00533241509486141, 0.00536513893964146, 
-0.00539742537221889, 0.00542889931428335, 0.00545989970145767, 0.00549004893072241, 0.00551972419584414, 0.00554855435612888, 0.00557692734453731, 0.00560444087154133, 
-0.00563147234239205, 0.00565757686128727, 0.00568316642545793, 0.00570777861250159, 0.00573192298998399, 0.00575509504545748, 0.00577790201469266, 0.00579969134709878, 
-0.00582115054736086, 0.00584139221452850, 0.00586128734004678, 0.00587972989282672, 0.00589808690052833, 0.00591540333198250, 0.00593205379805961, 0.00594813880209655, 
-0.00596267377455868, 0.00597741589424509, 0.00599039453248084, 0.00600314980390327, 0.00601494155132523, 0.00602610113531495, 0.00603636342822522, 0.00604578641469852, 
-0.00605437894886202, 0.00606211163669993, 0.00606910653387789, 0.00607525672904290, 0.00608068579068155, 0.00608523210616189, 0.00608901297897988, 0.00609187619324112, 
-0.00609396152547327, 0.00609514946463964, 0.00609558653157114, 0.00609514946463964, 0.00609396152547327, 0.00609187619324112, 0.00608901297897988, 0.00608523210616189, 
-0.00608068579068155, 0.00607525672904290, 0.00606910653387789, 0.00606211163669993, 0.00605437894886202, 0.00604578641469852, 0.00603636342822522, 0.00602610113531495, 
-0.00601494155132523, 0.00600314980390327, 0.00599039453248084, 0.00597741589424509, 0.00596267377455868, 0.00594813880209655, 0.00593205379805961, 0.00591540333198250, 
-0.00589808690052833, 0.00587972989282672, 0.00586128734004678, 0.00584139221452850, 0.00582115054736086, 0.00579969134709878, 0.00577790201469266, 0.00575509504545748, 
-0.00573192298998399, 0.00570777861250159, 0.00568316642545793, 0.00565757686128727, 0.00563147234239205, 0.00560444087154133, 0.00557692734453731, 0.00554855435612888, 
-0.00551972419584414, 0.00549004893072241, 0.00545989970145767, 0.00542889931428335, 0.00539742537221889, 0.00536513893964146, 0.00533241509486141, 0.00529893784256351, 
-0.00526503059762880, 0.00523039315379049, 0.00519528393985568, 0.00515946810910305, 0.00512316386346786, 0.00508624698184808, 0.00504887367893452, 0.00501099496582253, 
-0.00497262699146714, 0.00493373299658250, 0.00489420623498588, 0.00485403860423785, 0.00481424852813673, 0.00477223280278857, 0.00473169248365623, 0.00468955284268770, 
-0.00464779963068343, 0.00460464825220905, 0.00456156022215696, 0.00451784282884279, 0.00447414198154179, 0.00442986742204268, 0.00438546971668745, 0.00434042896145653, 
-0.00429522177839473, 0.00424939516950231, 0.00420348722135172, 0.00415703554738502, 0.00411058555257416, 0.00406360815542227, 0.00401664308061543, 0.00396912079239840, 
-0.00392161316870967, 0.00387355440986243, 0.00382555699048792, 0.00377704959506895, 0.00372865317317631, 0.00367976183349975, 0.00363100325859950, 0.00358174124596574, 
-0.00353265733443406, 0.00348308365845938, 0.00343378958762444, 0.00338400592135627, 0.00333460199814310, 0.00328460350198885, 0.00323506931441536, 0.00318474186231553, 
-0.00313512165505945, 0.00308448377238342, 0.00303527354743087, 0.00298408012351935, 0.00293445800039565, 0.00288512840396260, 0.00283412527109201, 0.00278404942218042, 
-0.00273361748949242, 0.00268414140692153, 0.00263426676950411, 0.00258470295716680, 0.00253485686222383, 0.00248518758501967, 0.00243548525436868, 0.00238601381783270, 
-0.00233669674897580, 0.00228761026923322, 0.00223871049041842, 0.00218996963721177, 0.00214139247713316, 0.00209294223259948, 0.00204468151104454, 0.00199658259647564, 
-0.00194872602458623, 0.00190106604757396, 0.00185367729128575, 0.00180649714239756, 0.00175961611250325, 0.00171297190814002, 0.00166668113637550, 0.00162066455214233, 
-0.00157503442488970, 0.00152967223986802, 0.00148466890906943, 0.00143990979242900, 0.00139547947313276, 0.00135135745612168, 0.00130756685560331, 0.00126425191781228, 
-0.00122111516589616, 0.00117866383169451, 0.00113549685886290, 0.00109588295343421, 0.00105169774350639, 0.00101069578059601, 0.000970883568971010, 0.000931001117497454, 
-0.000891382011561606, 0.000851487293223158, 0.000812374375990954, 0.000773394513145455, 0.000735367166639595, 0.000697608811340494, 0.000660700340823140, 0.000623999763683269, 
-0.000587977722826699, 0.000552121769556217, 0.000516877376372632, 0.000481854744689647, 0.000447462473702899, 0.000413368163653855, 0.000379918194843229, 0.000346811034408436, 
-0.000314346397337869, 0.000282270121591107, 0.000250843940298056, 0.000219864413943603, 0.000189518312913980, 0.000159652043314615, 0.000130337162460535, 0.000101522460573350, 
-7.31488512081353e-05, 4.53634810869086e-05, 1.79220776252956e-05, -8.75000381957480e-06, -3.52380267488923e-05, -6.07302747179699e-05, -8.63859218366082e-05, -0.000110658422989979, 
--0.000135672987348502, -0.000158038013340163, -0.000182718834161682, -0.000208020109997019, -0.000223063752779904, -0.000247735016213375, -0.000268590084163264, -0.000291306404219105, 
--0.000310488418329100, -0.000330677260377738, -0.000348312520886679, -0.000366972910244881, -0.000383669251697455, -0.000401443504121743, -0.000417460223522498, -0.000434475552201623, -0.000449698934449484, -0.000465821362319299, -0.000480069347179249, -0.000495193607822494, -0.000508372396429405, -0.000522458425410067, -0.000534508605134922, -0.000547524082087984, -0.000558402454183533, -0.000570367122683910, -0.000580109977377959, -0.000591137773968283, -0.000599831070682668, -0.000610043338194475, -0.000617702529114801, -0.000627154674611770, -0.000633714444974831, -0.000642486260779654, -0.000647892827216824, -0.000656187894249034, -0.000660330946718933, -0.000668435478754011, -0.000670867964963519, -0.000679427972422059, -0.000679003259712778, -0.000692284271988876, -0.000675432749281130, -0.000689238102101884, -0.000707053158406025, -0.000700822488823546, -0.000704184938277025, -0.000699951609455988, -0.000702084347004260, -0.000699587125715329, -0.000701552559161197, -0.000699960260396518, -0.000701562144359961, -0.000700085972408138, -0.000700978318797988, -0.000699128468616956, -0.000699146857491809, -0.000696695831913496, -0.000695783521327534, -0.000692604062270113, -0.000690735948708760, -0.000686779420740873, -0.000684011485494165, -0.000679345019980268, -0.000675811138190482, -0.000670543670441799, -0.000666350155348239, -0.000660536584899437, -0.000655730318423711, -0.000649408145295391, -0.000644060044878972, -0.000637317640388987, -0.000631532852699149, -0.000624441235452662, -0.000618254890021300, -0.000610787449621752, -0.000604183313496965, -0.000596329290925752, -0.000589412242712984, -0.000581179079003090, -0.000574062372234321, -0.000565436854162197, -0.0192878684408550
-};
+bool decimate = false;
+
+float firCoeffs[NUM_TAPS] = {-0.0144708808511496,-0.000385188817745075,-0.000390533183235675,-0.000394742906792089,-0.000399769196519628,-0.000403738202294335,-0.000408404623158276,-0.000412113149650395,-0.000416462833527476,-0.000419815012719482,-0.000423797959228978,-0.000426739337854087,-0.000430334330303594,-0.000432832690421492,-0.000436010304838419,-0.000438015762483701,-0.000440725998487324,-0.000442176271462813,-0.000444366451120004,-0.000445200741523877,-0.000446824764367193,-0.000446985068265349,-0.000448006554506719,-0.000447442784206942,-0.000447849219199270,-0.000446533842477948,-0.000446356250904501,-0.000444298930233344,-0.000443635712144896,-0.000440904172137380,-0.000439959781942889,-0.000436697184341028,-0.000435806956375018,-0.000432172615546733,-0.000431753345765173,-0.000427687598858029,-0.000428156810812652,-0.000422747252741829,-0.000424187630414963,-0.000407818792155013,-0.000395501352613792,-0.000405744503950700,-0.000392851507058367,-0.000390382687328383,-0.000381121528334916,-0.000376496114768088,-0.000367538945283741,-0.000361525919288397,-0.000352310773450881,-0.000345231412211433,-0.000335566815920174,-0.000327541463775560,-0.000317294849082828,-0.000308353744912893,-0.000297429505735636,-0.000287581380689517,-0.000275914761004970,-0.000265156646491960,-0.000252692261710763,-0.000241008558077738,-0.000227700089453720,-0.000215083331568167,-0.000200913782464340,-0.000187389392522164,-0.000172384694451466,-0.000158020178787410,-0.000142244665767066,-0.000127136823721230,-0.000110658475023229,-9.48790548136458e-05,-7.76831002440304e-05,-6.11819123150781e-05,-4.30660620622803e-05,-2.56168041232741e-05,-6.17332989349961e-06,1.25088872664492e-05,3.37927012878936e-05,5.35608705831692e-05,7.59589602239430e-05,9.15368291316554e-05,0.000115204777102917,0.000138069211971015,0.000159190880367532,0.000182373449206352,0.000205067466595210,0.000228860953939147,0.000252562953392044,0.000277043582173064,0.000301679014228284,0.000326937646605074,0.000352496019331738,0.000378568482119590,0.000405024475185201,0.000431919761467725,0.000459260045317933,0.000486996257677674,0.000515223422553390,0.000543812348041683,0.000572911638300866,0.000602328160312027,0.000632248178590089,0.000662431004457176,0.000693100970238447,0.000723983335774392,0.000755351502448320,0.000786905176937580,0.000818981905467808,0.000851254211738706,0.000884129083715379,0.000917225959710777,0.000951002817600966,0.000984976999461651,0.00101962720509619,0.00105433282442391,0.00108958012424409,0.00112464418634772,0.00115993840154260,0.00119539198931307,0.00123186816927046,0.00127036077901721,0.00130541180260479,0.00134335225448012,0.00138072879053652,0.00141863315366209,0.00145663029979914,0.00149499706458300,0.00153361610136926,0.00157251046039164,0.00161168223712593,0.00165107252541929,0.00169074663426727,0.00173062458634377,0.00177079136483371,0.00181115593295544,0.00185179221443832,0.00189260160550475,0.00193364149890840,0.00197481806389987,0.00201618182472885,0.00205765641294420,0.00209929421544075,0.00214104214683175,0.00218295189552009,0.00222499505616725,0.00226720655336976,0.00230957893654704,0.00235209893435240,0.00239478098228574,0.00243752682581544,0.00248040445148945,0.00252320826984942,0.00256614456884563,0.00260887923650444,0.00265189493075013,0.00269464123994112,0.00273811141960323,0.00278127146884799,0.00282487273216248,0.00286725582554936,0.00291011668741703,0.00295400852337480,0.00299631315283477,0.00303968228399754,0.00308228214271367,0.00312544335611165,0.00316800503060222,0.00321092060767114,0.00325335212983191,0.00329604768194258,0.00333833065815270,0.00338080571964383,0.00342287984676659,0.00346506666392088,0.00350683252327144,0.00354864820837975,0.00359002966433764,0.00363143184222281,0.00367240631021559,0.00371339474804699,0.00375396921299398,0.00379455066286027,0.00383471907116473,0.00387486722320318,0.00391457835212350,0.00395421450957656,0.00399336963891983,0.00403239345178008,0.00407090689986944,0.00410927413031459,0.00414714356884360,0.00418491195887327,0.00422220071777701,0.00425944291055203,0.00429609837010503,0.00433271517977119,0.00436816038563848,0.00440392829477787,0.00443863216787577,0.00447419332340360,0.00450790720060468,0.00454199779778719,0.00457557942718267,0.00460866745561361,0.00464128935709596,0.00467348005622625,0.00470521813258529,0.00473655480891466,0.00476738158613443,0.00479778554290533,0.00482760230079293,0.00485697947442532,0.00488572614267468,0.00491404812783003,0.00494172982871532,0.00496901245787740,0.00499565014615655,0.00502189761027694,0.00504747871309519,0.00507265469059348,0.00509712658822537,0.00512116774916649,0.00514446385204792,0.00516731571406126,0.00518939504399896,0.00521104829385877,0.00523192156106234,0.00525241391733289,0.00527210766449571,0.00529145309701562,0.00530992168933153,0.00532803731039166,0.00534513592720032,0.00536190019920468,0.00537753105163574,0.00539305759593844,0.00540779717266560,0.00542178330942988,0.00543520553037524,0.00544764194637537,0.00546016823500395,0.005471222102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+
+float decimatedFIR[NUM_TAPS] = {
+    -0.00140781220330616, -0.000139680243382954, -0.000146404247129533, -0.000153380260487868, -0.000160358054902775, -0.000167594998778230, -0.000174826685798307, -0.000182327525649789, -0.000189824946371562, -0.000197598785182405, -0.000205384397733665, -0.000213427887696411, -0.000221470958675043, -0.000229772807811465, -0.000238049618312475, -0.000246567591545414, -0.000255034938034355, -0.000263721934820429, -0.000272321168079272, -0.000281131948836483, -0.000289843221436450, -0.000298765562188730, -0.000307585101529890, -0.000316650955348761, -0.000325618969853878, -0.000334855342718481, -0.000343975936992935, -0.000353357974172664, -0.000362544634184449, -0.000371941004210931, -0.000381024111936636, -0.000390255657684682, -0.000399088156676523, -0.000408207165488917, -0.000417020789208928, -0.000426496295026695, -0.000435648489505876, -0.000445439550183399, -0.000453172230024789, -0.000461660268788097, -0.000471635316163514, -0.000479499372082719, -0.000488476288769188, 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+    };
+
+void print_array_serial(float *bar,int length, Serial *pc){
+    int i =0;
+    for(i = 0; i < length; i++){
+        pc->printf("%f, ", bar[i]);
+    }
+}
 
-float filter( float *in, int sampleIndex)
+void filter( float *in, Serial *pc)
 {
-    unsigned int i, j, k;
-    float out = 0;
-    k = 0;
+    float *taps = firCoeffs;
+    int i, j;
+    float out[SAMPLE_LENGTH] = {};
     
-    for( j = 0; j < NUM_TAPS; j++ ){
-        k = (sampleIndex - j+SAMPLE_LENGTH-1)&(SAMPLE_LENGTH-1);
-        out += in[ k ] * firCoeffs[ j ];
+    for( i = 0; i < SAMPLE_LENGTH; i++ )
+    {
+        out[ i ] = 0.0;
+        for( j = 0; j < NUM_TAPS; j++ ){
+            if(i-j >= 0)
+                out[ i ] += in[ i - j ] * taps[ j ];
+        }
     }
-    return out;
+    //print_array_serial(out, SAMPLE_LENGTH, pc);
+    for( i = 0; i < SAMPLE_LENGTH; i++ )
+    {
+        in[ i ] = out[i];
+    }
 }
 
 //=------------------------------------------ DSP END ------------------------------------------------------------------------------
 
 //-------------------------------------uiu----- QAM ------------------------------------------------------------------------------------
 
-float qam_in(float *in, int sampleIndex, float *sI, float *sQ){
-    float filteredSI = 0;
-    float filteredSQ = 0;
-    int k = 0;
+float avg_QAM(float *sI, float *sQ, int length){
+    int i = 0;
+    float total = 0;
+    int denom = length - 2*NUM_TAPS;
+    for(i = NUM_TAPS; i < length - NUM_TAPS; i++){
+        total = total + sqrt(sI[i]*sI[i] + sQ[i]*sQ[i]);
+    }   
+    return total/denom;
+}
+
+float qam_in(float *samples, float *sI, float *sQ, Serial *pc){
+    //print_array_serial(samples, SAMPLE_LENGTH, pc);
     for(int i = 0; i < SAMPLE_LENGTH; i++){
-        k = (sampleIndex - i+SAMPLE_LENGTH-1)&(SAMPLE_LENGTH-1);
-        sI[k] = in[k]*cos(2*PI*CARRIER_FREQ*i*TIME_CONST);
-        sQ[k] = -in[k]*sin(2*PI*CARRIER_FREQ*i*TIME_CONST);
+        sI[i] = samples[i]*cos(2*PI*CARRIER_FREQ*i*TIME_CONST);
+        sQ[i] = -samples[i]*sin(2*PI*CARRIER_FREQ*i*TIME_CONST);
     }
-    filteredSI = filter(sI, sampleIndex);
-    filteredSQ = filter(sQ, sampleIndex);
-    return sqrt(filteredSI*filteredSI+filteredSQ*filteredSQ);
+    filter(sI, pc);
+    filter(sQ, pc);
+    return avg_QAM(sI, sQ, SAMPLE_LENGTH);
 }
 
 //------------------------------------------- QAM END ------------------------------------------------------------------------------
+