Gain correction factor for y2 = 0.991220 2024 Al f_r_e_f = 1.0796 MHz JE121AE Model contains constant terms in both waveforms. No. of linear parameters: 2 Model contains 7 coupled sine/cosine waves No. of linear parameters: 16 No. of nonlinear parameters: 14 Reference signal not in the data (No pure exponential in model). No pure sine/cosine waves in model Weights are set to 1 Enter initial values of nonlinear parameters: nonlinear parameters: 1 3.419097E-02 2 -1.529505E+00 3 2.387037E-02 4 -5.146678E-01 5 2.347579E-02 6 -3.171484E-01 7 3.300000E-02 8 3.200000E-01 9 4.344532E-02 10 3.676323E-01 11 2.120955E-02 12 2.585729E+00 13 4.024144E-02 14 4.453692E+00 1 Terms with nonlin parm 1: 3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 2: 3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 3: 5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 4: 5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 5: 7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 6: 7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 7: 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 8: 9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 9: 11 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 10: 11 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 11: 13 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 12: 13 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 13: 15 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 14: 15 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 iteration 0 nonlinear parameters -2.8117400E-01 -1.7792595E-01 2.0383961E+02 1.3172097E-06 -6.2806786E-01 -2.8306347E-01 -5.7196308E-01 4.1657078E-02 3.4994417E-01 -2.9936319E-01 -4.9964706E-01 1.3211420E-01 1.8325671E-01 -1.0303638E-01 0 weighted norm of residual = 3.7087500E-01 nu = 0.1000000E+01 1 iteration 1 nonlinear parameters 3.4144257E-02 -1.5295253E+00 2.3749050E-02 -5.1466227E-01 2.3540536E-02 -3.1715091E-01 4.2153804E-02 3.2193883E-01 4.2080921E-02 3.6728679E-01 2.1183294E-02 2.5857300E+00 4.0282190E-02 4.4536954E+00 1 weighted norm of residual = 3.3580024E-01 nu = 0.5000000E+00 norm(delta-alf) / norm(alf) = 1.743E-03 iteration 2 nonlinear parameters 3.4130944E-02 -1.5295478E+00 2.3615638E-02 -5.1466174E-01 2.3609937E-02 -3.1715120E-01 4.6858897E-02 3.2512982E-01 4.1355571E-02 3.6683274E-01 2.1155010E-02 2.5857299E+00 4.0319525E-02 4.4537007E+00 1 weighted norm of residual = 3.1085767E-01 nu = 0.2500000E+00 norm(delta-alf) / norm(alf) = 1.059E-03 ........................................................................... iteration 6 nonlinear parameters 3.4151405E-02 -1.5295518E+00 2.3594328E-02 -5.1466429E-01 2.3620825E-02 -3.1714989E-01 4.0072995E-02 3.2611579E-01 4.1811183E-02 3.6672040E-01 2.1150659E-02 2.5857293E+00 4.0323250E-02 4.4537024E+00 1 weighted norm of residual = 3.0757990E-01 nu = 0.1562500E-01 norm(delta-alf) / norm(alf) = 2.068E-07 ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' 1 linear parameters -0.1839654E-03 0.3361516E-03 0.9345046E-01 -0.7119470E-01 -0.4981990E-01 0.9245761E-01 0.2247629E+00 -0.1171287E+00 0.1038892E+00 0.2177063E-01 0.3827664E+00 0.2718956E+00 -0.1500125E+00 0.4266017E-02 -0.3127177E+00 -0.1234437E-01 nonlinear parameters 0.3415140E-01 -0.1529552E+01 0.2359433E-01 -0.5146643E+00 0.2362083E-01 -0.3171499E+00 0.4007299E-01 0.3261158E+00 0.4181118E-01 0.3667204E+00 0.2115066E-01 0.2585729E+01 0.4032325E-01 0.4453702E+01 weighted norm of residual = 0.3075799E+00 weighted estimated variance = 0.3543273E-04 ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' 1 Param. Estimate Std. Deviation t-ratio E( 1) -1.839654E-04 1.620723E-04 -1.135083E+00 F( 1) 3.361516E-04 1.620723E-04 2.074085E+00 E( 2) 9.345046E-02 3.338377E-03 2.799278E+01 F( 2) -7.119470E-02 3.338377E-03 -2.132614E+01 E( 3) -4.981990E-02 1.819015E-03 -2.738839E+01 F( 3) 9.245761E-02 1.819015E-03 5.082839E+01 E( 4) 2.247629E-01 1.822570E-03 1.233219E+02 F( 4) -1.171287E-01 1.822570E-03 -6.426566E+01 E( 5) 1.038892E-01 5.348639E-03 1.942348E+01 F( 5) 2.177063E-02 5.348639E-03 4.070313E+00 E( 6) 3.827664E-01 5.843478E-03 6.550318E+01 F( 6) 2.718956E-01 5.843478E-03 4.652976E+01 E( 7) -1.500125E-01 1.563106E-03 -9.597082E+01 F( 7) 4.266017E-03 1.563106E-03 2.729193E+00 E( 8) -3.127177E-01 4.644993E-03 -6.732360E+01 F( 8) -1.234437E-02 4.644993E-03 -2.657564E+00 ------------------------------------------------------- 1 B( 2) 3.415140E-02 6.736252E-04 5.069793E+01 C( 2) -1.529552E+00 1.072108E-04 -1.426677E+04 B( 3) 2.359433E-02 3.441513E-04 6.855800E+01 C( 3) -5.146643E-01 5.477339E-05 -9.396248E+03 B( 4) 2.362083E-02 1.429487E-04 1.652399E+02 C( 4) -3.171499E-01 2.275099E-05 -1.394005E+04 B( 5) 4.007299E-02 1.208749E-03 3.315245E+01 C( 5) 3.261158E-01 1.923784E-04 1.695179E+03 B( 6) 4.181118E-02 3.040143E-04 1.375303E+02 C( 6) 3.667204E-01 4.838537E-05 7.579158E+03 B( 7) 2.115066E-02 1.962721E-04 1.077619E+02 C( 7) 2.585729E+00 3.123768E-05 8.277598E+04 B( 8) 4.032325E-02 3.771810E-04 1.069069E+02 C( 8) 4.453702E+00 6.003022E-05 7.419101E+04 wtd residual sum of squares: 9.460539E-02 wtd residual mean square: 3.543273E-05 wtd residual standard error: 5.952540E-03 coefficient of determination (r-square): 9.922135E-01 1 For Damped Sine/Cosine Pairs ---------------------------- A( 2) = 1.1748053E-01 +/- 3.3383772E-03 [V], t = 3.52E+01 B( 2) = 3.4151405E-02 +/- 6.7362522E-04 [ms-1], t = 5.07E+01 C( 2) = -1.5295518E+00 +/- 1.0721078E-04 [kHz], t =-1.43E+04 D( 2) = 6.7742712E-02 +/- -2.9568239E-03 [ms] A( 3) = 1.0502587E-01 +/- 1.8190152E-03 [V], t = 5.77E+01 B( 3) = 2.3594328E-02 +/- 3.4415133E-04 [ms-1], t = 6.86E+01 C( 3) = -5.1466429E-01 +/- 5.4773386E-05 [kHz], t =-9.40E+03 D( 3) = -6.3859094E-01 +/- -5.3559457E-03 [ms] A( 4) = 2.5345117E-01 +/- 1.8225703E-03 [V], t = 1.39E+02 B( 4) = 2.3620825E-02 +/- 1.4294866E-04 [ms-1], t = 1.65E+02 C( 4) = -3.1714989E-01 +/- 2.2750986E-05 [kHz], t =-1.39E+04 D( 4) = 2.4107918E-01 +/- -3.6086565E-03 [ms] A( 5) = 1.0614577E-01 +/- 5.3486390E-03 [V], t = 1.98E+01 B( 5) = 4.0072995E-02 +/- 1.2087492E-03 [ms-1], t = 3.32E+01 C( 5) = 3.2611579E-01 +/- 1.9237841E-04 [kHz], t = 1.70E+03 D( 5) = 1.0081140E-01 +/- 2.4591719E-02 [ms] A( 6) = 4.6950754E-01 +/- 5.8434780E-03 [V], t = 8.03E+01 B( 6) = 4.1811183E-02 +/- 3.0401425E-04 [ms-1], t = 1.38E+02 C( 6) = 3.6672040E-01 +/- 4.8385371E-05 [kHz], t = 7.58E+03 D( 6) = 2.6805039E-01 +/- 5.4014940E-03 [ms] A( 7) = 1.5007316E-01 +/- 1.5631055E-03 [V], t = 9.60E+01 B( 7) = 2.1150659E-02 +/- 1.9627212E-04 [ms-1], t = 1.08E+02 C( 7) = 2.5857293E+00 +/- 3.1237678E-05 [kHz], t = 8.28E+04 D( 7) = 1.9161913E-01 +/- 6.4109492E-04 [ms] A( 8) = 3.1296121E-01 +/- 4.6449933E-03 [V], t = 6.74E+01 B( 8) = 4.0323250E-02 +/- 3.7718098E-04 [ms-1], t = 1.07E+02 C( 8) = 4.4537024E+00 +/- 6.0030217E-05 [kHz], t = 7.42E+04 D( 8) = -1.1085624E-01 +/- 5.3038777E-04 [ms] 1 Correlation Matrix E 01 F 01 E 2 F 2 E 3 F 3 E 4 F 4 E 5 F 5 E 6 F 6 E 7 F 7 E 8 F 8 E 01 1.000 0.000 0.003 -0.001 -0.006 -0.003 -0.007 -0.011 0.015 0.003 0.003 0.013 0.000 -0.002 0.001 0.001 F 01 0.000 1.000 0.001 0.003 0.003 -0.006 0.011 -0.007 -0.003 0.015 -0.013 0.003 0.002 0.000 -0.001 0.001 E 2 0.003 0.001 1.000 0.000 0.013 -0.008 0.013 0.001 0.007 -0.008 0.010 0.003 -0.004 -0.002 0.006 -0.001 F 2 -0.001 0.003 0.000 1.000 0.008 0.013 -0.001 0.013 0.008 0.007 -0.003 0.010 0.002 -0.004 0.001 0.006 E 3 -0.006 0.003 0.013 0.008 1.000 0.000 -0.033 0.061 0.006 0.019 -0.014 0.013 0.004 -0.003 -0.002 0.005 F 3 -0.003 -0.006 -0.008 0.013 0.000 1.000 -0.061 -0.033 -0.019 0.006 -0.013 -0.014 0.003 0.004 -0.005 -0.002 E 4 -0.007 0.011 0.013 -0.001 -0.033 -0.061 1.000 0.000 0.021 0.016 -0.005 0.024 0.002 -0.005 0.001 0.005 F 4 -0.011 -0.007 0.001 0.013 0.061 -0.033 0.000 1.000 -0.016 0.021 -0.024 -0.005 0.005 0.002 -0.005 0.001 E 5 0.015 -0.003 0.007 0.008 0.006 -0.019 0.021 -0.016 1.000 0.000 -0.288 0.357 0.007 -0.002 -0.004 0.005 F 5 0.003 0.015 -0.008 0.007 0.019 0.006 0.016 0.021 0.000 1.000 -0.357 -0.288 0.002 0.007 -0.005 -0.004 E 6 0.003 -0.013 0.010 -0.003 -0.014 -0.013 -0.005 -0.024 -0.288 -0.357 1.000 0.000 0.002 -0.008 0.003 0.006 F 6 0.013 0.003 0.003 0.010 0.013 -0.014 0.024 -0.005 0.357 -0.288 0.000 1.000 0.008 0.002 -0.006 0.003 E 7 0.000 0.002 -0.004 0.002 0.004 0.003 0.002 0.005 0.007 0.002 0.002 0.008 1.000 0.000 -0.006 -0.007 F 7 -0.002 0.000 -0.002 -0.004 -0.003 0.004 -0.005 0.002 -0.002 0.007 -0.008 0.002 0.000 1.000 0.007 -0.006 E 8 0.001 -0.001 0.006 0.001 -0.002 -0.005 0.001 -0.005 -0.004 -0.005 0.003 -0.006 -0.006 0.007 1.000 0.000 F 8 0.001 0.001 -0.001 0.006 0.005 -0.002 0.005 0.001 0.005 -0.004 0.006 0.003 -0.007 -0.006 0.000 1.000 B 2 0.002 0.000 0.746 -0.569 0.005 -0.011 0.009 -0.006 0.001 -0.008 0.008 -0.003 -0.004 0.000 0.003 -0.004 C 2 0.000 -0.002 -0.569 -0.746 -0.011 -0.005 -0.006 -0.009 -0.008 -0.001 -0.003 -0.008 0.000 0.004 -0.004 -0.003 B 3 0.000 -0.005 -0.010 0.006 -0.434 0.804 -0.029 -0.045 -0.015 -0.003 -0.004 -0.014 0.000 0.004 -0.003 -0.003 C 3 -0.005 0.000 0.006 0.010 0.804 0.434 -0.045 0.029 -0.003 0.015 -0.014 0.004 0.004 0.000 -0.003 0.003 B 4 -0.002 0.010 0.009 -0.005 -0.044 -0.030 0.810 -0.422 0.019 0.003 0.005 0.018 0.000 -0.004 0.003 0.003 C 4 0.010 0.002 -0.005 -0.009 -0.030 0.044 -0.422 -0.810 0.003 -0.019 0.018 -0.005 -0.004 0.000 0.003 -0.003 B 5 0.012 0.000 0.004 0.008 0.008 -0.014 0.019 -0.009 0.930 0.213 -0.309 0.213 0.006 0.000 -0.004 0.003 C 5 0.000 -0.012 0.008 -0.004 -0.014 -0.008 -0.009 -0.019 0.213 -0.930 0.213 0.309 0.000 -0.006 0.003 0.004 B 6 0.008 -0.007 0.008 0.003 -0.003 -0.015 0.007 -0.019 -0.054 -0.373 0.790 0.539 0.005 -0.004 -0.001 0.005 C 6 -0.007 -0.008 0.003 -0.008 -0.015 0.003 -0.019 -0.007 -0.373 0.054 0.539 -0.790 -0.004 -0.005 0.005 0.001 B 7 0.000 -0.002 0.003 -0.002 -0.003 -0.002 -0.002 -0.003 -0.006 -0.001 -0.002 -0.006 -0.907 0.026 0.004 0.005 C 7 -0.002 0.000 -0.002 -0.003 -0.002 0.003 -0.003 0.002 -0.001 0.006 -0.006 0.002 0.026 0.907 0.005 -0.004 B 8 -0.001 0.001 -0.005 -0.001 0.001 0.004 -0.001 0.004 0.003 0.004 -0.002 0.005 0.005 -0.005 -0.948 -0.037 C 8 0.001 0.001 -0.001 0.005 0.004 -0.001 0.004 0.001 0.004 -0.003 0.005 0.002 -0.005 -0.005 -0.037 0.948 1 Correlation Matrix B 2 C 2 B 3 C 3 B 4 C 4 B 5 C 5 B 6 C 6 B 7 C 7 B 8 C 8 E 01 0.002 0.000 0.000 -0.005 -0.002 0.010 0.012 0.000 0.008 -0.007 0.000 -0.002 -0.001 0.001 F 01 0.000 -0.002 -0.005 0.000 0.010 0.002 0.000 -0.012 -0.007 -0.008 -0.002 0.000 0.001 0.001 E 2 0.746 -0.569 -0.010 0.006 0.009 -0.005 0.004 0.008 0.008 0.003 0.003 -0.002 -0.005 -0.001 F 2 -0.569 -0.746 0.006 0.010 -0.005 -0.009 0.008 -0.004 0.003 -0.008 -0.002 -0.003 -0.001 0.005 E 3 0.005 -0.011 -0.434 0.804 -0.044 -0.030 0.008 -0.014 -0.003 -0.015 -0.003 -0.002 0.001 0.004 F 3 -0.011 -0.005 0.804 0.434 -0.030 0.044 -0.014 -0.008 -0.015 0.003 -0.002 0.003 0.004 -0.001 E 4 0.009 -0.006 -0.029 -0.045 0.810 -0.422 0.019 -0.009 0.007 -0.019 -0.002 -0.003 -0.001 0.004 F 4 -0.006 -0.009 -0.045 0.029 -0.422 -0.810 -0.009 -0.019 -0.019 -0.007 -0.003 0.002 0.004 0.001 E 5 0.001 -0.008 -0.015 -0.003 0.019 0.003 0.930 0.213 -0.054 -0.373 -0.006 -0.001 0.003 0.004 F 5 -0.008 -0.001 -0.003 0.015 0.003 -0.019 0.213 -0.930 -0.373 0.054 -0.001 0.006 0.004 -0.003 E 6 0.008 -0.003 -0.004 -0.014 0.005 0.018 -0.309 0.213 0.790 0.539 -0.002 -0.006 -0.002 0.005 F 6 -0.003 -0.008 -0.014 0.004 0.018 -0.005 0.213 0.309 0.539 -0.790 -0.006 0.002 0.005 0.002 E 7 -0.004 0.000 0.000 0.004 0.000 -0.004 0.006 0.000 0.005 -0.004 -0.907 0.026 0.005 -0.005 F 7 0.000 0.004 0.004 0.000 -0.004 0.000 0.000 -0.006 -0.004 -0.005 0.026 0.907 -0.005 -0.005 E 8 0.003 -0.004 -0.003 -0.003 0.003 0.003 -0.004 0.003 -0.001 0.005 0.004 0.005 -0.948 -0.037 F 8 -0.004 -0.003 -0.003 0.003 0.003 -0.003 0.003 0.004 0.005 0.001 0.005 -0.004 -0.037 0.948 B 2 1.000 0.000 -0.009 -0.001 0.008 0.001 -0.001 0.007 0.004 0.006 0.003 0.000 -0.003 -0.003 C 2 0.000 1.000 0.001 -0.009 -0.001 0.008 -0.007 -0.001 -0.006 0.004 0.000 0.003 0.003 -0.003 B 3 -0.009 0.001 1.000 0.000 -0.004 0.041 -0.012 -0.001 -0.009 0.008 0.000 0.003 0.002 -0.002 C 3 -0.001 -0.009 0.000 1.000 -0.041 -0.004 0.001 -0.012 -0.008 -0.009 -0.003 0.000 0.002 0.002 B 4 0.008 -0.001 -0.004 -0.041 1.000 0.000 0.016 0.001 0.012 -0.010 0.000 -0.003 -0.002 0.002 C 4 0.001 0.008 0.041 -0.004 0.000 1.000 -0.001 0.016 0.010 0.012 0.003 0.000 -0.002 -0.002 B 5 -0.001 -0.007 -0.012 0.001 0.016 -0.001 1.000 0.000 -0.129 -0.278 -0.005 0.000 0.003 0.003 C 5 0.007 -0.001 -0.001 -0.012 0.001 0.016 0.000 1.000 0.278 -0.129 0.000 -0.005 -0.003 0.003 B 6 0.004 -0.006 -0.009 -0.008 0.012 0.010 -0.129 0.278 1.000 0.000 -0.004 -0.003 0.001 0.004 C 6 0.006 0.004 0.008 -0.009 -0.010 0.012 -0.278 -0.129 0.000 1.000 0.003 -0.004 -0.004 0.001 B 7 0.003 0.000 0.000 -0.003 0.000 0.003 -0.005 0.000 -0.004 0.003 1.000 0.000 -0.004 0.004 C 7 0.000 0.003 0.003 0.000 -0.003 0.000 0.000 -0.005 -0.003 -0.004 0.000 1.000 -0.004 -0.004 B 8 -0.003 0.003 0.002 0.002 -0.002 -0.002 0.003 -0.003 0.001 -0.004 -0.004 -0.004 1.000 0.000 C 8 -0.003 -0.003 -0.002 0.002 0.002 -0.002 0.003 0.003 0.004 0.001 0.004 -0.004 0.000 1.000 1 FOR Cosine Wave PERIODOGRAM Sum of periodogram ordinates = 2.7103E-01 Average periodogram ordinate = 3.3085E-05 Maximum periodogram ordinate freq. , period , power = 4.852887 0.2061 1.1080E-03 P_maximum / P_average = 3.3490E+01 Fisher statistic = 1.1999E+01 The maximum peak is significantly above the average value Time-series differs significantly from white noise 4179 / 8192 periodogram ordinates outside white noise band 1 1 FOR Sine Wave PERIODOGRAM Sum of periodogram ordinates = 3.0300E-01 Average periodogram ordinate = 3.6988E-05 Maximum periodogram ordinate freq. , period , power = 4.853498 0.2060 9.9871E-04 P_maximum / P_average = 2.7001E+01 Fisher statistic = 1.1999E+01 The maximum peak is significantly above the average value Time-series differs significantly from white noise 3311 / 8192 periodogram ordinates outside white noise band