fouriertransform.dat

这些程序是vc++编程时会用到的基本算法的程序

序列Pi(i=0,1,...,63)：
  (0.951229,0)      (0.860708,0)      (0.778801,0)      (0.704688,0)    
  (0.637628,0)      (0.57695,0)      (0.522046,0)      (0.472367,0)    
  (0.427415,0)      (0.386741,0)      (0.349938,0)      (0.316637,0)    
  (0.286505,0)      (0.25924,0)      (0.23457,0)      (0.212248,0)    
  (0.19205,0)      (0.173774,0)      (0.157237,0)      (0.142274,0)    
  (0.128735,0)      (0.116484,0)      (0.105399,0)      (0.0953692,0)    
  (0.0862936,0)      (0.0780817,0)      (0.0706512,0)      (0.0639279,0)    
  (0.0578443,0)      (0.0523397,0)      (0.0473589,0)      (0.0428521,0)    
  (0.0387742,0)      (0.0350844,0)      (0.0317456,0)      (0.0287246,0)    
  (0.0259911,0)      (0.0235177,0)      (0.0212797,0)      (0.0192547,0)    
  (0.0174224,0)      (0.0157644,0)      (0.0142642,0)      (0.0129068,0)    
  (0.0116786,0)      (0.0105672,0)      (0.0095616,0)      (0.0086517,0)    
  (0.00782838,0)      (0.00708341,0)      (0.00640933,0)      (0.0057994,0)    
  (0.00524752,0)      (0.00474815,0)      (0.0042963,0)      (0.00388746,0)    
  (0.00351752,0)      (0.00318278,0)      (0.0028799,0)      (0.00260584,0)    
  (0.00235786,0)      (0.00213348,0)      (0.00193045,0)      (0.00174675,0)    

Pi的傅里叶变换Fi(i=0,1,...,63)：
  (9.979226,0.000000)	  (5.318442,-4.739672)	
  (2.438648,-3.824852)	  (1.464376,-2.867734)	
  (1.061103,-2.239855)	  (0.861244,-1.818536)	
  (0.748900,-1.520149)	  (0.679837,-1.298421)	
  (0.634482,-1.127071)	  (0.603157,-0.990376)	
  (0.580650,-0.878443)	  (0.563957,-0.784768)	
  (0.551251,-0.704911)	  (0.541370,-0.635744)	
  (0.533549,-0.575000)	  (0.527264,-0.520998)	
  (0.522149,-0.472460)	  (0.517944,-0.428403)	
  (0.514456,-0.388053)	  (0.511543,-0.350793)	
  (0.509098,-0.316123)	  (0.507039,-0.283634)	
  (0.505301,-0.252985)	  (0.503836,-0.223890)	
  (0.502604,-0.196104)	  (0.501574,-0.169417)	
  (0.500723,-0.143644)	  (0.500030,-0.118622)	
  (0.499482,-0.094203)	  (0.499067,-0.070254)	
  (0.498775,-0.046648)	  (0.498603,-0.023268)	
  (0.498546,0.000000)	  (0.498603,0.023268)	
  (0.498775,0.046648)	  (0.499067,0.070254)	
  (0.499482,0.094203)	  (0.500030,0.118622)	
  (0.500723,0.143644)	  (0.501574,0.169417)	
  (0.502604,0.196104)	  (0.503836,0.223890)	
  (0.505301,0.252985)	  (0.507039,0.283634)	
  (0.509098,0.316123)	  (0.511543,0.350793)	
  (0.514456,0.388053)	  (0.517944,0.428403)	
  (0.522149,0.472460)	  (0.527264,0.520998)	
  (0.533549,0.575000)	  (0.541370,0.635744)	
  (0.551251,0.704911)	  (0.563957,0.784768)	
  (0.580650,0.878443)	  (0.603157,0.990376)	
  (0.634482,1.127071)	  (0.679837,1.298421)	
  (0.748900,1.520149)	  (0.861244,1.818536)	
  (1.061103,2.239855)	  (1.464376,2.867734)	
  (2.438648,3.824852)	  (5.318442,4.739672)	

Pi的傅里叶变换Fi(i=0,1,...,63)的模：
  9.979226	  7.123926	  4.536132	  3.219983	
  2.478486	  2.012167	  1.694610	  1.465631	
  1.293390	  1.159588	  1.053004	  0.966389	
  0.894861	  0.835016	  0.784410	  0.741246	
  0.704172	  0.672157	  0.644399	  0.620268	
  0.599262	  0.580979	  0.565094	  0.551341	
  0.539507	  0.529414	  0.520919	  0.513908	
  0.508288	  0.503987	  0.500952	  0.499146	
  0.498546	  0.499146	  0.500952	  0.503987	
  0.508288	  0.513908	  0.520919	  0.529414	
  0.539507	  0.551341	  0.565094	  0.580979	
  0.599262	  0.620268	  0.644399	  0.672157	
  0.704172	  0.741246	  0.784410	  0.835016	
  0.894861	  0.966389	  1.053004	  1.159588	
  1.293390	  1.465631	  1.694610	  2.012167	
  2.478486	  3.219983	  4.536132	  7.123926	

Pi的傅里叶变换Fi(i=0,1,...,63)的幅角(单位为度)：
  0.000000	  -41.706684	  -57.479241	  -62.949386	
  -64.651343	  -64.658146	  -63.772868	  -62.364003	
  -60.622764	  -58.657814	  -56.535331	  -54.297881	
  -51.974066	  -49.583817	  -47.141449	  -44.657517	
  -42.139974	  -39.594939	  -37.027201	  -34.440567	
  -31.838113	  -29.222354	  -26.595377	  -23.958936	
  -21.314523	  -18.663425	  -16.006766	  -13.345543	
  -10.680651	  -8.012910	  -5.343080	  -2.671880	
  0.000000	  2.671879	  5.343080	  8.012910	
  10.680651	  13.345543	  16.006766	  18.663425	
  21.314523	  23.958936	  26.595377	  29.222354	
  31.838113	  34.440567	  37.027201	  39.594939	
  42.139974	  44.657516	  47.141449	  49.583817	
  51.974066	  54.297881	  56.535331	  58.657814	
  60.622764	  62.364003	  63.772868	  64.658146	
  64.651344	  62.949386	  57.479241	  41.706684	

Fi的逆傅里叶变换Pi(i=0,1,...,63)的模：
  0.951229	  0.860708	  0.778801	  0.704688	
  0.637628	  0.576950	  0.522046	  0.472367	
  0.427415	  0.386741	  0.349938	  0.316637	
  0.286505	  0.259240	  0.234570	  0.212248	
  0.192050	  0.173774	  0.157237	  0.142274	
  0.128735	  0.116484	  0.105399	  0.095369	
  0.086294	  0.078082	  0.070651	  0.063928	
  0.057844	  0.052340	  0.047359	  0.042852	
  0.038774	  0.035084	  0.031746	  0.028725	
  0.025991	  0.023518	  0.021280	  0.019255	
  0.017422	  0.015764	  0.014264	  0.012907	
  0.011679	  0.010567	  0.009562	  0.008652	
  0.007828	  0.007083	  0.006409	  0.005799	
  0.005248	  0.004748	  0.004296	  0.003887	
  0.003518	  0.003183	  0.002880	  0.002606	
  0.002358	  0.002133	  0.001930	  0.001747