IS there a Matrix form of the STFT that could be applied to a signal directly, as in the case of DFT? We know the matrix structure of the DFT Matrix. Can we derive that somehow for a STFT Transform? The parameters that I wish to use are N = signal length R = frame length overlap = 50% DFT length = K
Attempt: I have tried to represent the DFT blocks along a diagonal with 50% overlap between the blocks. Each of the DFT Block will be multiplied by a diagonal block of the same size consisting of the window coefficients. Am I heading in the right direction?
Any directions or suggestions would be helpful. Thanks!!