795e5dbd-d7c4-4aa4-a2aa-a35370bd18e9 34 4 5 decimal

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

The Budapest algorithm is 1939 ?. Courtesy from Theodore to Jean. Works great in Mathcad but not in Smath ... Two problems: 1. Smath indexing 1 ... does not collect the the 1rst pair 2. Smath Σ is unreliable. In some applications the Σ limit was 12 in another 19, and another 38. In this attempt, Smath does not complain, but freaks the coefficients. Though Budapest works same as "fft", [much slower], it does not work in Smath.

data 0 100.639 0.0032 100.45 0.0064 99.88 0.0096 99.29 0.013 99.126 0.016 99.533 0.019 100.253 0.022 100.844 0.026 100.965 0.029 100.515 0.032 99.681 0.035 98.915 0.038 98.772 0.042 99.511 0.045 100.739 0.048 101.55 0.051 101.218 0.054 99.912 0.058 98.655 0.061 98.468 0.064 99.455 0.067 100.736 0.07 101.291 0.074 100.843 0.077 99.96 0.08 99.377 0.083 99.342 0.086 99.601 0.09 99.861 0.093 100.094 0.096 100.382 0.099 100.619 322 mat :

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 :

X data 1 col :

Y data 2 col :

N data rows : 32

ω 2 π N / * : 0.19635

Δx X N el X 1 el - (N 1 - / : 0.003194

a b c spec . 14 black 13 mat :

pts data a b c spec pts :

u λ u X 1 el - (ω Δx / * :

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

AB A B augment :

AB rows 33

data rows 32

Δx 0.003194

0.05 λ 3.074159

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

AB 200.03 0 0.032 0.005 - 0.039 0.012 - 0.064 0.034 - 0.7 0.637 - 0.335 - 0.468 0.203 0.002 0.031 - 0.005 - 0.014 - 0 0.009 - 0.001 0.006 - 0.001 0.005 - 0.001 0.004 - 0.001 0.003 - 0.001 0.003 - 0 0.003 - 0 0.002 - 2.53 1013 -^* 0.003 - 0 0.003 - 0 0.003 - 0.001 - 0.004 - 0.001 - 0.005 - 0.001 - 0.006 - 0.001 - 0.009 - 0.001 - 0.014 - 0 0.031 - 0.005 0.203 0.002 - 0.335 - 0.468 - 0.7 0.637 0.064 0.034 0.039 0.012 0.032 0.005 200.03 1.789 1011 -^* - 332 mat

fit x 0 0.1 0.0005 range : i 1 x length range u i el x i el : v i el x i el B39 eval : 21 line for u v augment 31 line :

pts fit 2 1 sys

C 200.03 0 0.032 0.005 - 0.039 0.012 - 0.064 0.034 - 0.7 0.637 - 0.335 - 0.468 0.203 0.002 0.031 - 0.005 - 0.014 - 0 0.009 - 0.001 0.006 - 0.001 0.005 - 0.001 0.004 - 0.001 0.003 - 0.001 0.003 - 0 0.003 - 0 0.002 - 0172 mat :

A C 1 col :

B C 2 col :

A good fit was obtained from "linfitCheby". Fourier is superior in this application.