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hw4 functions

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eneller
2026-05-17 16:09:04 +02:00
parent 19c3436991
commit f40e284218
1 changed files with 32 additions and 10 deletions
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hw4.Rmd
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@@ -149,11 +149,12 @@ $\lambda_I$ in radians, $t$ in seconds.
where $0 \leq t \leq 86 400$. Therefore: where $0 \leq t \leq 86 400$. Therefore:
If $t \geq 86 400$, subtract $86 400$. If $t < 0$, add $86 400$. If $t \geq 86 400$, subtract $86 400$. If $t < 0$, add $86 400$.
```{r klob-5} ```{r klob-5}
tGPS = 1 # TODO t <- function(tGPS){
t = 43200 * lambda_I / pi + tGPS 43200 * lambda_I / pi + tGPS
}
``` ```
```{r klob-5-demo} ```{r klob-5-demo}
t t(1)
``` ```
### 6. Compute the amplitude of ionospheric delay ### 6. Compute the amplitude of ionospheric delay
@@ -188,10 +189,12 @@ P_I
$$ X_I = \frac{2\pi ( t-50400)}{P_I}$$ $$ X_I = \frac{2\pi ( t-50400)}{P_I}$$
```{r klob-8} ```{r klob-8}
X_I = (2 * pi * (t-50400))/P_I X_I <- function(tGPS){
(2 * pi * (t(tGPS)-50400))/P_I
}
``` ```
```{r klob-8-demo, echo=FALSE} ```{r klob-8-demo, echo=FALSE}
X_I X_I(1)
``` ```
### 9. Compute the slant factor (ionospheric mapping function) ### 9. Compute the slant factor (ionospheric mapping function)
@@ -214,15 +217,34 @@ I_1 = \begin{cases}
$$ $$
```{r klob-10} ```{r klob-10}
if (abs(X_I)< pi/2) { I_1 <- function(tGPS){
I_1 = (5e-9 + A_I * cos(X_I)) * F if (abs(X_I(tGPS))< pi/2) {
}else{ I_1 = (5e-9 + A_I * cos(X_I(tGPS))) * F
}else{
I_1 = 5e-9 * F I_1 = 5e-9 * F
}
I_1
} }
``` ```
```{r klob-10-demo, echo=FALSE} ```{r klob-10-demo, echo=FALSE}
I_1 I_1(1)
``` ```
The delay $I_1$ is given in seconds and is referred to the GPS L1 or The delay $I_1$ is given in seconds and is referred to the GPS L1 or
Beidou B1 frequencies. Beidou B1 frequencies.
# 24-hour simulation
```{r simulate}
xs <- seq(from = 0, to = 24*60, by = 1)
ys <- numeric(length(xs))
for (x in xs){
y <- I_1(x*60)
ys[x] <- y
}
```
```{r simulate-demo, echo=FALSE}
head(ys)
plot(xs,ys,xlab="Time of Day [Minutes]",ylab="Delay [s]")
```