how to plot a function on each axis in matlab?

Dear All,

I've been having difficulty with this one. All the examples refer to making a meshgrid with x, y , then those last two gets mapped onto the function z(x,y)

however I want to do something totally different. I'd like to plot each function

1st Axis X: 1st function g(t,u) where t on [0 : tstep: 10] , u = [-10: ustep : 10] ;

% do we just do a meshgrid for those two ranges first off?

2nd Axis Y: 2nd function log10(g(t,u)) for log defined on [-1 :logstep: 1]

3rd Axis Z: time progression t from [0 : tstep: 10]

I need to study the function g(t,u) in respect of its Log10 as time progresses, hopefully it would make more sense with the following pseudo code:

define g(t,u) on [-10:gstep:10] , t on [0 : tstep: 10] , u = [-10: ustep : 10] ;

define log10(g(t,u)) on [-1 :logstep: 1]

define t on [0 : tstep: 10]

plot3D ( g(t,u) , log10(g(t,u)) , t) ; % that's the Target End Result

[Walter Roberson]

Which axes should be used for changes in u ?

Your third axes is one of your independent variables.

Your second axes is log() of the first axes

Your first axes is g(t,u) where you have defined the range of t but not of u.

Most common would be to make one of the axes t, one of the axes u, and the third axes g(t,u) or log(g(t,u))

[Ahmad Ahmatto]

Hello sir,

I'd like to thank you for your swift reply.

I know that my independent varaibles are u, and t. in my special case, I have to plot the two functions g(t,u) , along with log10(g(t,u) ) with the time progression t.

thus, in my special case, I am not interested to plot changes of u. (which is the essence of my question).

yes sir most common, in all matlab examples they'd take t , u , g(t,u)

however, in my case study, I am interested in studing g(t,u) , log10( g(t, u) with its time t.

[Walter Roberson]

"I need to study the function g(t,u) in respect of its Log10 as time progresses"

You would do that by using t on the x axis, u on the y axis, and log10(g(t,u)) on the Z axis, possibly followed by using view() to show the x/z plane .

[Ahmad Ahmatto]

view would be helpful, thank you.

However that does not help in visualizing the relationship between g(t,u) & log10(g(t,u)) ( with t)

[Walter Roberson]

The relationship between g(t,u) and log10(g(t,u)) is log10.

You could create two plots, one log10 and the other not log.

If you want to plot log10(g) and g as if they are two independent variables, then you will need to explain how you want to collapse all of the differences caused by u onto a single axes. For example, is it acceptable to plot t, max(g(t,u) over u), log10(max(g(t,u) over u)) -- a "maximum intensity projection" ?