Matlab - Graphing a function

Question

I need to sketch the following function in matlab. I can do easy ones like 5sin(3t) and have no problem. However i do not know how i enter the following function into matlab to graph it and find the maplitude and period. The function is

......{3.......0<t<4

f(t)={0.......4<t<6

......{f(t 6)

i also then have a second one

......{t.............0<t<2

f(t)={ 3-(t/2).....2<t<6

......{f(t 6)

Any ideas? (also the dots are for formatting they should just be blank space)

Answer 1

The solution to this problem is some of my own work.

The basic idea is my functions called  adil&#039;s seed functions;

adil_box_seed(t)= a* 0.5*  [{ sin(t-x1)/sin{ sqrt( (t-x1)^2)} - { sin( t-x2)/sin{ sqrt( (t-x1)^2) }]

this function gives you &quot;a&quot; if x1&lt;t&lt;x2 else &quot;zero&quot;

...|

...|........a _____

0.|_____|______|______

...........x1.......x2

adil_contineous_seed(t)= a* 0.5*  [1- {sin(x1-t)/sin{ sqrt( (x1-t)^2)}]

this function gives you &quot;a&quot; if  t&gt;x1 else &quot;zero&quot;

...|

...|........a _____.._.._.._

0.|_____|____________

...........x1

So for the following function,

......{a.......0&lt;t&lt;x1

f(t)={b.......x1&lt;t&lt;x2

......{f(t x2)

f(t) =a* 0.5*  [{ sin(t-0)/sin{ sqrt( (t-0)^2)} - { sin( t-x1)/sin{ sqrt( (t-x1)^2) }] +

       b* 0.5*  [{ sin(t-x1)/sin{ sqrt( (t-x1)^2)} - { sin( t-x2)/sin{ sqrt( (t-x1)^2) }]+

f(t x2)* 0.5*  [1- {sin(x2-t)/sin{ sqrt( (x2-t)^2)}]

And now your function;

______________________________________...

......{3.......0&lt;t&lt;4

f(t)={0.......4&lt;t&lt;6

......{f(t 6)

f(t) =3* 0.5*  [{ sin(t-0)/sin{ sqrt( (t-0)^2)} - { sin( t-4)/sin{ sqrt( (t-4)^2) }] +

     f(t 6)* 0.5*  [1- {sin(6-t)/sin{ sqrt( (6-t)^2)}]

______________________________________...

......{t.............0&lt;t&lt;2

f(t)={ 3-(t/2).....2&lt;t&lt;6

......{f(t 6)

f(t) =t* 0.5*  [{ sin(t-0)/sin{ sqrt( (t-0)^2)} - { sin( t-2)/sin{ sqrt( (t-2)^2) }] +

      {3-(t/2)}* 0.5*  [{ sin(t-2)/sin{ sqrt( (t-2)^2)} - { sin( t-6)/sin{ sqrt( (t-6)^2) }] +

     f(t 6)* 0.5*  [1- {sin(6-t)/sin{ sqrt( (6-t)^2)}]

_____________________________________

I hope that is what you wanted.