Stability analysis of the bandlimited and bandpass linear prediction models
A constructive method of proof is presented for the minimum-phase property of two important linear prediction models, i.e., the bandlimited and bandpass linear prediction models. A generic functional symmetric matrix is first constructed. It is shown that the matrix is positive definite under a mild condition. The result is used, along with a special eigen-structure of the associated companion matrix, to establish the stability of the two linear prediction models.
minimum-phase companion matrix linear bandlimited/bandpass prediction model uniformly band restricted function sinc toeplitz matrix csinc toeplitz matrix