L E A S T S Q U A R E S S P E C T R A L A N A L Y S I S Version 5.02 PROJECT: TEST SERIES HISTOGRAM OF NORMALISED RESIDUALS --------------------------------- -3.93|---- -3.54|---- -3.15| -2.75|*--- -2.36|-*------ -1.97|-----*-------------- -1.57|-----------*------------ -1.18|-------------------*---- -0.79|------------ * -0.39|---------------------------- * 0.00|---------------- * 0.39|---------------- * 0.79|------------------------ * 1.18|------------ * 1.57|-----------*---- 1.97|-----*------------------ 2.36|-*-- 2.75|*--- 3.15|---- 3.54|---- 3.93|---- CHARACTERISTICS OF DISTRIBUTION OF RESIDUALS -------------------------------------------- 1st MOMENT ABOUT ZERO (MEAN) = -0.019 (Must be equal to 0.0) 2nd MOMENT ABOUT MEAN (VARIANCE) = 2.818 (Must be equal to 1.0) 3rd MOMENT ABOUT MEAN (SKEWNESS) = 0.070 (Must be equal to 0.0) 4th MOMENT ABOUT MEAN (KURTOSIS) = 2.475 (Must be equal to 3.0) CHI-SQUARE GOODNESS-OF-FIT TEST ------------------------------- Ho HYPOTHESIS : Normalised residuals derived from a population with a Normal PDF SIGNIFICANCE LEVEL : 0.010 DEGREES OF FREEDOM : 20 CHI-SQUARE STATISTIC : 24.166 ( TEST FAILS ) CHI-SQUARE TEST ON THE VARIANCE FACTOR -------------------------------------- Ho HYPOTHESIS : a-priori variance factor is EQUAL to a-posteriori variance factor SIGNIFICANCE LEVEL : 0.010 A-PRIORI VARIANCE FACTOR : KNOWN DEGREES OF FREEDOM : 42 RATIO (a-post/a-priori) : 4.117 CHI SQUARE TEST : FAILS ASSESSMENT OF THE DETERMINED PARAMETERS --------------------------------------- (CHI-SQUARE DISTRIBUTION) Ho HYPOTHESIS : Vector of determined parameters is different from zero SIGNIFICANCE LEVEL : 0.010 A-PRIORI VARIANCE FACTOR : KNOWN DEGREES OF FREEDOM : 42 QUADRATIC NORM OF PARAMETERS : 0.6841D-05 Volt^2 STATISTICAL TEST : FAILS SPECTRAL BAND 1 ================ - SPECTRAL VALUES BETWEEN 164.0 AND 2.0 : 100 - MEAN SPECTRAL VALUE FOR WHITE NOISE: 4.8 - CRITICAL %VAR AT 99.0% CONF LEVEL FOR DETECTING SIGNIF PEAKS IN SPECTRUM: 20.6 - AVERAGE SAMPLING INTERVAL: 1.00 Hour PERIOD FREQUENCY FIDELITY %VAR SNR POWER DENSITY (Hour) (CYC/Hour) (dB) (Volt^2/freq) 164.000000 0.0060976 1.6060 -17.87221 0.115728D+02* 90.200000 0.0110865 1.8246 -17.30838 0.724745D+01* 62.206897 0.0160754 2.2424 -16.39439 0.616901D+01 * 47.473684 0.0210643 2.9737 -15.13600 0.629027D+01 * 38.382979 0.0260532 4.1868 -13.59546 0.725118D+01 * 32.214286 0.0310421 6.0841 -11.88543 0.902238D+01 * 27.753846 0.0360310 8.9361 -10.08199 0.117745D+02 * 24.378378 0.0410200 13.2066 -8.17697 0.160370D+02 * 21.734940 0.0460089 18.9552 -6.30996 0.219775D+02 * 19.608696 0.0509978 23.8126 -5.05076 0.264965D+02 * 17.861386 0.0559867 0.25D+01 25.3032 -4.70127 0.261580D+02 * 16.400000 0.0609756 24.5851 -4.86785 0.231140D+02 * 15.159664 0.0659645 23.2984 -5.17479 0.199080D+02 * 14.093750 0.0709534 22.4442 -5.38511 0.176332D+02 * 13.167883 0.0759424 21.9875 -5.49988 0.160452D+02 * 12.356164 0.0809313 21.0025 -5.75342 0.142023D+02 * 11.638710 0.0859202 18.9596 -6.30872 0.117720D+02 * 11.000000 0.0909091 16.2702 -7.11487 0.924105D+01 * 10.427746 0.0958980 13.4908 -8.07024 0.703045D+01 * 9.912088 0.1008869 11.0293 -9.06699 0.531229D+01 * 9.445026 0.1058758 9.1262 -9.98150 0.410081D+01 * 9.020000 0.1108647 7.8483 -10.69726 0.332121D+01 * 8.631579 0.1158537 7.1515 -11.13381 0.287426D+01 * 8.275229 0.1208426 6.9558 -11.26344 0.267456D+01 * 7.947137 0.1258315 7.1894 -11.10904 0.266148D+01 * 7.644068 0.1308204 7.8011 -10.72569 0.279622D+01 * 7.363265 0.1358093 8.7467 -10.18402 0.305130D+01 * 7.102362 0.1407982 9.9168 -9.58271 0.338024D+01 * 6.859316 0.1457871 10.8651 -9.14016 0.361477D+01 * 6.632353 0.1507761 9.9550 -9.56419 0.317004D+01 * 6.419929 0.1557650 3.8425 -13.98364 0.110913D+01 * 6.220690 0.1607539 0.2525 -25.96720 0.680667D-01* 6.033445 0.1657428 0.8244 -20.80250 0.216836D+00* 5.857143 0.1707317 2.3085 -16.26534 0.598367D+00 * 5.690852 0.1757206 3.7804 -14.05727 0.966645D+00 * 5.533742 0.1807095 5.0956 -12.70087 0.128454D+01 * 5.385075 0.1856984 6.2615 -11.75240 0.155513D+01 * 5.244186 0.1906874 7.3019 -11.03636 0.178590D+01 * 5.110482 0.1956763 8.2311 -10.47240 0.198170D+01 * 4.983425 0.2006652 9.0491 -10.02199 0.214361D+01 * 4.862534 0.2056541 9.7416 -9.66856 0.226894D+01 * 4.747368 0.2106430 10.2798 -9.40904 0.235161D+01 * 4.637532 0.2156319 10.6227 -9.24991 0.238293D+01 * 4.532663 0.2206208 10.7215 -9.20492 0.235330D+01 * 4.432432 0.2256098 10.5280 -9.29343 0.225484D+01 * 4.336538 0.2305987 9.9881 -9.54816 0.208039D+01 * 4.244706 0.2355876 8.8419 -10.13250 0.177998D+01 * 4.156682 0.2405765 5.8746 -12.04731 0.112158D+01 * 4.072235 0.2455654 1.6083 -17.86584 0.287783D+00* 3.991150 0.2505543 2.6495 -15.65179 0.469608D+00 * 3.913232 0.2555432 2.8042 -15.39835 0.488109D+00 * 3.838298 0.2605322 0.7791 -21.05001 0.130303D+00* 3.766180 0.2655211 0.0004 -54.35532 0.597290D-04* 3.696721 0.2705100 0.4648 -23.30747 0.746252D-01* 3.629779 0.2754989 1.1847 -19.21222 0.188137D+00* 3.565217 0.2804878 1.8252 -17.30699 0.286551D+00* 3.502913 0.2854767 2.6300 -15.68470 0.409049D+00 * 3.442748 0.2904656 3.6035 -14.27339 0.556394D+00 * 3.384615 0.2954545 3.0587 -15.00968 0.461698D+00 * 3.328413 0.3004435 1.1465 -19.35632 0.166887D+00* 3.274047 0.3054324 0.9222 -20.31128 0.131757D+00* 3.221429 0.3104213 5.6090 -12.26049 0.827592D+00 * 3.170475 0.3154102 8.5648 -10.28394 0.128394D+01 * 3.121107 0.3203991 5.1083 -12.68955 0.726389D+00 * 3.073254 0.3253880 0.3138 -25.01985 0.418244D-01* 3.026846 0.3303769 5.6813 -12.20152 0.788233D+00 * 2.981818 0.3353659 14.1244 -7.83899 0.212030D+01 * 2.938111 0.3403548 14.5885 -7.67507 0.216959D+01 * 2.895666 0.3453437 10.0112 -9.53702 0.139272D+01 * 2.854430 0.3503326 0.6785 -21.65491 0.843034D-01* 2.814353 0.3553215 3.7507 -14.09286 0.474142D+00 * 2.775385 0.3603104 8.2288 -10.47368 0.107590D+01 * 2.737481 0.3652993 12.0341 -8.63901 0.161907D+01 * 2.700599 0.3702882 8.6025 -10.26312 0.109891D+01 * 2.664697 0.3752772 4.2940 -13.48082 0.516871D+00 * 2.629738 0.3802661 7.2910 -11.04337 0.894111D+00 * 2.595683 0.3852550 5.9437 -11.99330 0.709150D+00 * 2.562500 0.3902439 3.0227 -15.06276 0.345306D+00 * 2.530154 0.3952328 0.2566 -25.89700 0.281360D-01* 2.498615 0.4002217 1.0376 -19.79460 0.113254D+00* 2.467852 0.4052106 2.8175 -15.37727 0.309320D+00 * 2.437838 0.4101996 2.8402 -15.34134 0.308096D+00 * 2.408545 0.4151885 2.3973 -16.09745 0.255756D+00 * 2.379947 0.4201774 1.3258 -18.71725 0.138248D+00* 2.352021 0.4251663 2.9360 -15.19297 0.307581D+00 * 2.324742 0.4301552 2.4333 -16.03105 0.250661D+00 * 2.298089 0.4351441 0.9205 -20.31944 0.923080D-01* 2.272040 0.4401330 0.7127 -21.43992 0.705084D-01* 2.246575 0.4451220 4.6211 -13.14709 0.470574D+00 * 2.221675 0.4501109 7.5602 -10.87323 0.785550D+00 * 2.197320 0.4550998 6.2371 -11.77050 0.631916D+00 * 2.173494 0.4600887 4.1415 -13.64472 0.405978D+00 * 2.150179 0.4650776 1.6443 -17.76815 0.155409D+00* 2.127358 0.4700665 1.2016 -19.14995 0.111857D+00* 2.105018 0.4750554 0.8851 -20.49157 0.812671D-01* 2.083141 0.4800443 1.3938 -18.49696 0.127303D+00* 2.061714 0.4850333 0.8391 -20.72532 0.754245D-01* 2.040724 0.4900222 0.4354 -23.59183 0.385849D-01* 2.020157 0.4950111 1.7222 -17.56373 0.153048D+00* 2.000000 0.5000000 0.0000 -120.00000 0.864661D-11* CHARACTERISTICS OF RESIDUAL SERIES ---------------------------------- RES. SERIES QUADRATIC NORM: 0.172932D+03 Volt^2 WEIGHTED RMS OF FIT: 0.030779 Volt REDUCED CHI-SQUARE: 4.117435 SOLUTION FOR KNOWN CONSTITUENTS ------------------------------- Significance of parameters based on: SIGMA*EXPANSION FACTOR Expansion factor = 3.507 DESCRIPTION NAME No VALUE AMPLITUDE SIGMA PHASE SIGMA SIGNIF (Hour) (Volt) (Volt) (DEG) (DEG) 99.0% Datum shift 1 0.40000000D+01 0.11077075D+00 0.78603217D-02 YES linear trend -.10622655D-01 0.18988839D-03 YES Periodic constituent NAME 1 1 0.28178300D+02 0.13298184D+00 0.74361245D-02 25.0506 0.2604 YES Periodic constituent NAME 2 2 0.14055700D+02 0.76275245D-01 0.64400683D-02 248.8152 0.2932 YES Periodic constituent NAME 3 3 0.10076000D+02 0.18527707D+00 0.70744968D-02 65.9030 0.3917 YES Periodic constituent NAME 4 4 0.81954000D+01 0.12036177D+00 0.76515171D-02 245.7895 0.4244 YES Periodic constituent NAME 5 5 0.75816000D+01 0.91388921D-01 0.72717689D-02 241.6298 0.3909 YES Periodic constituent NAME 6 6 0.56950000D+01 0.58008096D-01 0.60145986D-02 230.6307 0.4792 YES Periodic constituent NAME 7 7 0.49587000D+01 0.86971167D-01 0.70320316D-02 67.3423 0.4390 YES Periodic constituent NAME 8 8 0.44461000D+01 0.36595272D-01 0.64144560D-02 188.9126 0.3963 YES Periodic constituent NAME 9 9 0.36515000D+01 0.18469348D-01 0.51463385D-02 140.2042 0.3828 YES Periodic constituent 10 0.53900000D+01 0.44125391D-01 0.72811851D-02 212.5621 0.3507 YES