Multiplying unequal length vectors

I'm continuing in my Mathcad to Matlab translation of good radar equations. Now I need to work the following equation: e2(theta) = E2 * f(theta)*exp(i*phi);

The problem is f(theta) is 351 elements long and 'i' and 'phi' are only 5 elements long each.

In fortran, I'd try up sampling i and phi through interpolation, but was wondering if there is a better Matlab solution.

[Matt J]

So phi is a function of theta? If it is a known function of theta (even an implicit one), you could use that function to generate more phi samples.

Answer 1

[Sean de Wolski]

Well what do you want to do? Do you want to multiply f(theta) by every element of phi?

If so:

exp(ii.*phi)'*(1:351)

Will give you a 5x351 matrix that has this. Otherwise, please be more clear in your goal. If you want to make exp(ii.*phi) to be the same size as a 1x351, this will inevitably involve interpolation.

More per clarification

Use interp1 to interpolate between the values you need.

doc interp1 %for more info

Answer 2

[Kim]

Sorry bout the poor question.

Yes, I want exp(i.*phi) to be 1X351, so that I can do: e2(theta) = E2 * f(theta).*exp(i.*phi);

[Sean de Wolski]

Use interp1.