- -( - -( - - -( - an- - an- an- general square toeplitz matrix is completely determined by the elements along its first row and column if is also hermitian ( aa)then clearly it is determined by only elements if we define the matrices ** ** and - ** ** then ( is satisfied with -( - - - - - -( - : -( - an- - an- - an- - -( - -( - -( - an- - which has rank convolution example (discrete convolution of vectorsthe convolution of two vectors can be represented as multiplication of one of the vectors by toeplitz matrix suppose [ an ]and [ bn ]are two complex-valued vectors thentheir convolution is defined as the vector with -th element [ ] ak bi- + nk= where : for it is easy to verify that the convolution can be written as ab