Applying function to signal

I have an I-dimensional input signal

 x(t)=[x1(t),...xI(t)]T

and J-dimensional input-output function

 g(x)=[g1(x),....gJ(x)]T

these functions are saved as a J-dimensional matrix, while applying these functions to the input signal I should get the J-dimensional output signal by,

 yj(t)=gj(x(t)) where j={1,2....J}

How to implement this in matlab?

Answer 1

[Azzi Abdelmalek]

function J=yourfunction(I)
%write your code
%J=...

[Berbia]

I mean both x(t) and g(x) are matrices with real values..what I have to do to get y(t)? for g(x(t)), is it enough to multiply both matrices?

[Azzi Abdelmalek]

Can you provide an example?

[Berbia]

 size(x)=[500 5], where t=5
 size(g)=[200 5]
my output signal should be size(y)=[200 5]

its possible to change the size of g as required but the size x and y should be same..

[Azzi Abdelmalek]

I dont know what you mean by as required. Can you give a clear example with relation between inputs and outputs

[Berbia]

I'm trying to extract the slow features from the input signal by using the algorithm Slow Feature Analysis(SFA) by using the sfa-toolkit. I'm expecting the output should be 200*5, but the tool-kit returns the output signal of dimension 500*5, where 500 is the input signal dimension.

while I changing the Slow function dimension I met with the error

 ??? Error using ==> mtimes
Inner matrix dimensions must agree.

so I'm wondering the dimension of g(x) which should result me the output of dimension 200*5. Anyway I can manage my project, thank you for your time and consideration.

[Azzi Abdelmalek]

Sorry, I can't understand.