data [XY]

b309d5c9-773e-482c-8224-739913a600aa 22 15 12 decimal

&[DATE] &[TIME] - &[FILENAME]

data [XY]

XY pairs raw data XY 0 0.1565 0.0982 0.0846 0.1963 0.1657 0.2945 0.5194 0.3927 0.4005 0.4909 0.3374 0.589 0.7377 0.6872 0.8511 0.7854 0.7138 0.8836 0.9814 0.9817 0.6979 1.0799 0.8564 1.1781 0.9703 1.2763 0.964 1.3744 0.8899 1.4726 0.7495 1.5708 1.2045 1.669 1.1278 1.7671 0.9497 1.8653 1.1751 1.9635 1.0413 2.0617 0.7379 2.1598 1.0015 2.258 0.9242 2.3562 0.8504 2.4544 0.6311 2.5525 0.7082 2.6507 0.6188 2.7489 0.263 2.8471 0.3845 2.9452 0.1969 3.0434 0.1199 3.1416 0.2277 3.2398 0.0956 3.3379 0.1321 - 3.4361 0.0562 - 3.5343 0.2352 - 3.6325 0.6592 - 3.7306 0.3314 - 3.8288 0.6555 - 3.927 0.6554 - 4.0252 0.9939 - 4.1233 0.773 - 4.2215 0.7014 - 4.3197 0.6809 - 4.4179 0.8392 - 4.516 0.8484 - 4.6142 1.1527 - 4.7124 1.2204 - 4.8106 1.0773 - 4.9087 1.2067 - 5.0069 0.981 - 5.1051 0.7848 - 5.2033 0.7194 - 5.3014 1.0022 - 5.3996 0.7225 - 5.4978 0.6406 - 5.596 0.565 - 5.6941 0.7197 - 5.7923 0.7004 - 5.8905 0.4193 - 5.9887 0.5055 - 6.0868 0.1086 - 6.185 0.0645 6.2832 0.0435 - 6.3814 0.1926 6.4795 0.1918 6.5777 0.3931 6.6759 0.5767 6.7741 0.3964 6.8722 0.4125 6.9704 0.7767 7.0686 0.8656 7.1668 1.013 7.2649 0.7479 7.3631 0.9702 7.4613 0.9714 7.5595 1.1964 7.6576 1.1391 7.7558 0.7707 7.854 1.1144 7.9522 1.0553 8.0503 1.0986 8.1485 1.1693 8.2467 0.994 8.3449 0.6578 8.443 0.9643 8.5412 0.5882 8.6394 0.8214 8.7376 0.3969 8.8357 0.4731 8.9339 0.2995 9.0321 0.609 9.1303 0.4934 9.2284 0.0394 - 9.3266 0.1149 9.4248 0.0574 - 9.523 0.0479 9.6211 0.2211 - 9.7193 0.3919 - 9.8175 0.5117 - 9.9157 0.6919 - 10.0138 0.6571 - 10.112 0.5298 - 10.2102 0.8961 - 10.3084 0.8912 - 10.4065 0.764 - 10.5047 0.7329 - 10.6029 0.9278 - 10.701 0.966 - 10.7992 1.2277 - 10.8974 0.9181 - 10.9956 0.8389 - 11.0937 1.1849 - 11.1919 1.0741 - 11.2901 0.8036 - 11.3883 1.0069 - 11.4864 0.7579 - 11.5846 0.9891 - 11.6828 0.8423 - 11.781 0.4954 - 11.8791 0.7029 - 11.9773 0.317 - 12.0755 0.2899 - 12.1737 0.6252 - 12.2718 0.5115 - 12.37 0.0291 - 12.4682 0.1073 1282 mat :

Fourier Budapest39 periodic data smoothing

X XY 1 col :

data spec pts i 1 data rows range p i el a b c spec : for Unest 'p' v p 1 el : j 2 p rows range v v p j el stack : for data v augment 51 line :

Y XY 2 col :

N XY rows : 128

ω 2 π N / * : 0.049087

Δx X N el X 1 el - (N 1 - / : 0.098175

a b c spec . 9 black 13 mat :

u λ u X 1 el - (ω Δx / * :

pts XY a b c spec pts :

Stem style construct

iii 1 N range q iii el 3 : q N el 2 : 21 line for

ii 1 N range v ii el ii : for

Core component of the stem style P v replicate k 1 : i 1 v length range P i el 1 ≡ continue j 1 P i el range T k j + el v i el : for k k P i el + : 21 line if for T 31 line :

u q v replicate :

i 1 N range S 3 i * el spec i el : for

V u S augment :

V V 3 V rows 12 submatrix :

n 0 N range A n 1 + el 2 N / Y k 1 + el n k * ω * cos * k 0 N 1 - sum * eval : B n 1 + el 2 N / Y k 1 + el n k * ω * sin * k 0 N 1 - sum * eval : 21 line for

Experiment smoothing

<= Smoothing factor sm 2 :

u B39 A 1 el 2 / A n 1 + el u λ n * cos * B n 1 + el u λ n * sin * + (n 1 sm sum + 11 line :

fit x 04 π * 0.01 range : i 1 x length range v i el x i el B39 eval : 11 line for x v augment 31 line :

Y Mean 0.02339

A 1 el 2 / 0.02339

Data set/Fourier polynomial adjustable smoothing

pts fit 2 1 sys

Q n 2 N range c n el A n el i (B n 1 - el * - : for c 21 line :

spectral t 1 N 2 range : i 2 N range v Q mat2sys abs sys2mat : v 1 el A 1 el (: 21 line for t v augment 31 line :

Isolated for stem style spec spectral 2 col :

Extract peak v peak k 0 : i 1 v rows range v i el 10 ≥ R k k 1 + : el v i el : 11 line 0 if 11 line for R 31 line :

Unscaled spectrum. Remember: the 1rst component of a spectrum is the DC component, very large in this application [2*Mean(Y)]. The remaining of the spectrum components are quite small as they "kind of range" within Ymax ...Ymin .

V 10 2 1 sys

spec peak 132.117014 132.13449 21 mat

Remove noise v collect k 0 : i 3 v rows range v i el 10 ≤ 0 R i 3 - el v i el : if 11 line for R 31 line :