TY - JOUR
T1 - Stability Analysis of the Bandlimited and Bandpassed Linear Prediction Models
AU - Wu, Yan
PY - 2005/10/1
Y1 - 2005/10/1
N2 - 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.
AB - 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.
KW - Bandlimited
KW - Bandpassed
KW - Linear Prediction Models
KW - Stability Analysis
UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/683
UR - https://doi.org/10.1142/S0218126605002660
U2 - 10.1142/S0218126605002660
DO - 10.1142/S0218126605002660
M3 - Article
VL - 14
JO - Journal of Circuits, Systems, and Computers
JF - Journal of Circuits, Systems, and Computers
ER -