From 6feef1b8ed9fdc322c6c0f5d70fcc4692c35068d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=98yvind?= Date: Mon, 11 Jan 2021 12:27:56 +0100 Subject: [PATCH] Start lecture 1 in TTT4280 --- .../ttt4280/lectures/2021-01-11/2021-01-11.md | 57 ++++++++++++++++++ .../2021-01-11/figures/grunnmodell.jpg | Bin 0 -> 13215 bytes .../lectures/2021-01-11/figures/true-prec.jpg | Bin 0 -> 7469 bytes ntnu/21v/ttt4280/ttt4280.md | 10 +++ 4 files changed, 67 insertions(+) create mode 100644 ntnu/21v/ttt4280/lectures/2021-01-11/2021-01-11.md create mode 100644 ntnu/21v/ttt4280/lectures/2021-01-11/figures/grunnmodell.jpg create mode 100644 ntnu/21v/ttt4280/lectures/2021-01-11/figures/true-prec.jpg create mode 100644 ntnu/21v/ttt4280/ttt4280.md diff --git a/ntnu/21v/ttt4280/lectures/2021-01-11/2021-01-11.md b/ntnu/21v/ttt4280/lectures/2021-01-11/2021-01-11.md new file mode 100644 index 0000000..b2a9a2f --- /dev/null +++ b/ntnu/21v/ttt4280/lectures/2021-01-11/2021-01-11.md @@ -0,0 +1,57 @@ +--- +title: "TTT4280 - 2020-01-11" +description: "Intro og Måleusikkerhet" +math: true +--- + +## Faglig innhold + +* Måleusikkerhet +* Støyanalyse +* Sensorer og aktuatorer +* Sensortyper + +## Hva er sensorer + +Noe som kan lese den fysiske verdenen til noe vi kan prosessere. + +Finnes mange forskjellige sensorer. Flere i biler, telefoner, klokker osv. + +Tidligere ble det estimert at vi skulle ha ca 50 milliarder sensorer i 2020. + +## Måleusikkerhet + +Bruk av sensor = Utføre en måling. + +...og måleverdier har en usikkerhet. + +I visse situasjoner har måleusikkerheten masse å si, i andre har det ikke så mye å si. + +Sensitivitet er en måling for å ikke gjøre en Type II feil (alarmen løser **ikke** ut). + +Spesifisitet er en måling for å ikke gjøre en Type I feil (**falsk** alarm). + + + +### Grunnmodell for måleprosess + +![Grunnmodell](figures/grunnmodell.jpg) + +I realiteten er det støy i alle ledd. + +Sannsynligheten for at et sensorsystem gir riktig svar påvirkes av (minst) to faktorer: + +* Hvor entydig er underliggende sammenhenger? +* Hvor nøyaktig kan vi måle de fysiske størrelsene? + +$$ \text{SNR} = \frac{\text{(Effekten for) sann verdi}}{\text{(Effekten for) støy}} $$ + +### Målefeil + +Stokastiske feil (Type A feil) påvirker målingens *presisjon*. +Presisjonen beskriver hvor reproduserbart en måling er. + +Systematiske feil (Type B feil) påvirker målingens *sannhet*. +Sannheten er en måling på hvor langt unna den sanne verdien en måling er. + +![Målefeil](figures/true-prec.jpg) \ No newline at end of file diff --git a/ntnu/21v/ttt4280/lectures/2021-01-11/figures/grunnmodell.jpg b/ntnu/21v/ttt4280/lectures/2021-01-11/figures/grunnmodell.jpg new file mode 100644 index 0000000000000000000000000000000000000000..a9de5905a2c7e59580c2b2068e0e87fb0c467be8 GIT binary patch literal 13215 zcmc(_1ymeew>DVajk~);aCdiicMBHWJ-E9hK+puY;1)=55AF~M2^Ks!1ZO&V^M3!m zYt5`#v*ynH)zww!>}T(1?>?)mj_mWa^t1+GD9S3x0w53wFo%ACrxid7K!AgThl53c zhlfW*L_k8pK}A7EMj^z)M#mu~A}1pyA|aumVWp#>Vx}e`q32^@X6NAM<|d~T5aH(( zX654M{7nKvL_|bEMj=2&CE%naq2&C3d_466mGFc2qx&MA0P%m02l&| z_J18PuwV!r2p$R&{{9(||B3-1Fa#FnX&FF)ioqBV3;+Nf&ykTr-u;i930@R`<3K`U z`ewB!ppb&h`X+O1P+3j+SNAf@%@d&PWSQ(S8!HO8f3{ihqx5x^09w=5)(y$$=#r@2 zPe@;I@vLIi3-QugjBhUd<5kt0=MDB867Ca)2Zx_c=IkmtWH!Mjt@@7~j1bQ@{QINT 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