You can use MATLAB. You may find sample code and directions to write code for the orthogonalization process. Like: https://www.mathworks.com/matlabcentral/answers/60784-how-do-i-create-orthogonal-basis-based-on-two-almost-perpendicular-vectors
Depending on the condition of your data you can select and modify code for orthogonalization.
Python will also work as it is open source and is easily accessible.