Post by cbee1 on Jun 29, 2006 17:45:09 GMT -5
Hey all, I know that the DFT has orthogonal basis vectors sin, cos, but my question is this: When doing multi resolution analysis and/or using wavelets, it is possible to design unlimited basis vectors, that are all orthogonal to each other. Now, when I am projecting a given function onto DFT basis functions during analysis, I'm wondering is the phase angle between the function to be decomposed and a given basis function say, Cosine, the same regardless of the frequency of the basis functions? So, would cos 1 Hz, cos 2 Hz, cos N Hz all be the same phase angle away from the function being projected onto them, or are each one of those basis functions orthogonal to each other in some crazy, multi dimensional way? 
