[Webinar] Streamline your web hosting managementRegister Today

x
  • Status: Solved
  • Priority: Medium
  • Security: Public
  • Views: 76
  • Last Modified:

Can someone please help with this matlab tutorial

I understand the tutorial up to this point...

Again saving the program as a separate
file, further modify it to show how the hyper-
bolas corresponding to TOA measurements at
three stations locate a source in two spatial di-
mensions. Let the station locations be at the
vertices of the isosceles triangle x1,y1 = (10,10)
x2,y2 = (+10,10), and x3,y3 = (0,+10) km,
respectively. Use Matlabs input function to
specify a source location (also in km units), and
calculate the times the signal would be received
at each station. Finally, plot the hyperbolae
corresponding to each of the three baselines to
see the solution. Use the pause function in
your for loop to identify each hyperbola as it is
added to the plot. Your plot should look some-
thing like Figure 6.

I have drawn out where I understand the baselines to be.
I not sure where to go from here...

thanks in advance
toa.pdf
pic.png
0
jtiernan2008
Asked:
jtiernan2008
  • 4
  • 3
  • 3
2 Solutions
 
aburrCommented:
" Let the station locations be at the
vertices of the isosceles triangle x1,y1 = (10,10)
x2,y2 = (+10,10), and x3,y3 = (0,+10) km,"
---
Two of these points do not appear on your drawing and are actually the same point.
0
 
aburrCommented:
Step 1
"Use Matlabs input function to
specify a source location (also in km units), and
calculate the times the signal would be received
at each station."

Pick a point, any point and do three calculations giving the time a signal from your point would arrive at the three points on your triangle.
t = d/v    where t is the time d is the distance from your triangle point to the point you picked and v is the speed of the signal.

0
 
yuk99Commented:
> x1,y1 = (10,10)
It's actually (-10,-10). Minus just was not copied properly.

Do you know how to calculate distance between your points?
Can you calculate angle between each baseline and x axis to determine the rotation?
Did you solve Exercise 3 on page 3 to derive your a and b parameters from the distance?

Before coding in Matlab you need to solve those problems.
0
The new generation of project management tools

With monday.com’s project management tool, you can see what everyone on your team is working in a single glance. Its intuitive dashboards are customizable, so you can create systems that work for you.

 
jtiernan2008Author Commented:
"Do you know how to calculate distance between your points?"
=> d=sqrt((xi-x)^2+(yi-y)^2)

"Can you calculate angle between each baseline and x axis to determine the rotation?"
=> That is the part I do not understand... why do we rotate? Do we rotate the baseline or calculate the hyperbola then rotate the hyperbola? Is theta the angle between the x axis and the baseline f1f3 the angle between the baseline between the x axis and the baseline f2f3?
theta is calculated with Tan(theta) = Opposite / Adjacent.

"Did you solve Exercise 3 on page 3 to derive your a and b parameters from the distance?"
Is this a+b=sqrt((xi-x)^2+(yi-y)^2) since on pg 3 it says a^2+b^2=d^2?


 
0
 
jtiernan2008Author Commented:
sorry forgot to say, updated screenshot below for the comment above
screener.png
0
 
yuk99Commented:
Sorry, you should calculate angle between each baseline (line between 2 stations) and y axis. Because if 2 stations are located on the y axis you don't have to rotate hyperbolas.
0
 
jtiernan2008Author Commented:
What do you do after you calculate the angle between the baselines and the y axis?

Why do you rotate in the first place? This is the part I am having difficulty with

Also "Did you solve Exercise 3 on page 3 to derive your a and b parameters from the distance?"
Is this a+b=sqrt((xi-x)^2+(yi-y)^2) since on pg 3 it says a^2+b^2=d^2?
0
 
yuk99Commented:
In your tutorial page 2:
"the differences in the arrival times at a pair of stations i,j constrain the source to lie on a hyperboloid of revolution about the baseline between the two stations."
The equation (7) page 3 defined for hyperbola with foci lying on the y axis, this your 2 stations. If they are not on y axis you need to rotate the hyperbola.

So you need to find a and b parameters for your hyperbola. Distance between staitions is 2d, right? You have one equation, but you have 2 unknowns. I didn't go through all the tutorial, so I don't know the answer. Willl think about it.
0
 
aburrCommented:
"That is the part I do not understand... why do we rotate?"
You rotate because the program to calculate te hyperbola is written so that the two foci are on the y axis. The result gives you the hyperbola but you have to rotate it to get it to put the real foci in the correct place.
0
 
jtiernan2008Author Commented:
thanks lads...
I need to study this more I think :)
0

Featured Post

Free Tool: Subnet Calculator

The subnet calculator helps you design networks by taking an IP address and network mask and returning information such as network, broadcast address, and host range.

One of a set of tools we're offering as a way of saying thank you for being a part of the community.

  • 4
  • 3
  • 3
Tackle projects and never again get stuck behind a technical roadblock.
Join Now