I have a discrete signal as follows: $\displaystyle \Big[x(1) \,\,\, x(2) \,\,\, \dots \,\,\, x(M+K) \Big]$ and I want to do some operation (esp. a well known matrix e.g Vandermonde) to create this matrix:


Generating the above matrix can not be done using a simple matrix multiplication, (is it?). However, is there any known operation for such arrangement?