Stability Analysis of the Bandlimited and Bandpassed Linear Prediction Models
Journal of Circuits, Systems, and Computers
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.
"Stability Analysis of the Bandlimited and Bandpassed Linear Prediction Models."
Journal of Circuits, Systems, and Computers, 14 (5): 1007-1014.
doi: 10.1142/S0218126605002660 source: https://www.worldscientific.com/doi/abs/10.1142/S0218126605002660