<p> medsmooth </p>

7911738c-4b6c-43ea-bc39-397cd8a019f0 41 15 12 decimal

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

t f 2 t 300 / exp cos - :

stdevwn 0.2 :

stdevout 1 :

j whitenoise j Random 0 stdevwn ICDF.Normal eval :

j outliers j Random 0 stdevout ICDF.Normal eval :

rn 1000 :

j 1 rn range :

white j rn whitenoise 2 col augment : out j rn outliers 2 col augment : 21 line

F j f vectorize :

white white :

out out :

i 40 rn 80 range U i el 0 : U i 19 - el 1 : U i 18 - el 1 : U i 17 - el 1 : U i 16 - el 1 : U i 15 - el 1 : U i 14 - el 1 : U i 13 - el 1 : U i 12 - el 1 : U i 11 - el 1 : U i 10 - el 1 : U i 9 - el 1 : U i 8 - el 1 : U i 7 - el 1 : U i 6 - el 1 : U i 5 - el 1 : U i 4 - el 1 : U i 3 - el 1 : U i 2 - el 1 : U i 1 - el 1 : 201 line for

U U :

Create bursts of outliers i 1 rn range Ω i el U i el out 2 col i el * eval : for

white j Ω augment 2 1 sys

U rows 1000

C F white 2 col + Ω + :

chirp j C augment :

chirp j F augment 2 1 sys <p> medsmooth </p>

Y w medsmooth n Y rows : w must be odd m w 1 - 2 / : i 1 n 1 - (range mvgavg i el Y j el j 12 i * sum 2 i * 2 + / i m < Y j el j 2 i * n - n sum 2 n i - (* / i n m - > Y j el j i m - 1 + i m + sum w / cases eval : for mvgavg 51 line :

Part_1: presmooth outliers

Project remark . . .

1. medsmooth is independent of outliers magnitude.

2. LinfitCheby, LSQ piece wise are the sole smoothers.

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X chirp 1 col : Y chirp 2 col : 21 line

must be odd w 15 :

n X rows :

m w 1 - 2 / : 7

kind of balance  ... accept ! scale 112 m * / + :

mvgavg Y w medsmooth : X X 1 mvgavg rows 11 submatrix : Y mvgavg 1 mvgavg rows 11 submatrix : 31 line

scale 1.0714

chirp X scale Y * augment 2 1 sys

========================================================

ε 1015 -^:

Mathcad x 0 stdev ICDF.Normal x 0 stdev qnorm ≡

x α f x 0 α ICDF.Normal :

x ε 1 0.01 range :

data x x 0.5 f vectorize augment :

x y axes x y / - :

data 1 10 1 10 - 2 2 mat axes 3 1 sys

Project Note . . .

1. Spline_2xV6 freeware, takes *.dat from file.

2. I was unable to finish converting Mathcad 11

LSQ ORIGIN[0] => ORIGIN[1] ... => Smath

3. LinfitCheby . . . RemToDo

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LSQ [Robert] Mathcad 11 ORIGIN:=0