论文信息 - On another approach to the Schur-Cohn criterion

On another approach to the Schur-Cohn criterion

Some well-known properties of polynomials orthogonal on the unit circle are used to provide a simple proof of the Schur-Cohn stability criterion. Some complements are also briefly noted.

Thomas Kailath | A. Vieira | T. Kailath | A. Vieira

[1] E. Parzen. An Approach to Time Series Analysis , 1961 .

[2] M. Marden. Geometry of Polynomials , 1970 .

[3] I. Gohberg,et al. Convolution Equations and Projection Methods for Their Solution , 1974 .

[4] M. Morf,et al. Inverses of Toeplitz operators, innovations, and orthogonal polynomials , 1975, 1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes.

[5] A. Cohn,et al. Über die Anzahl der Wurzeln einer algebraischen Gleichung in einem Kreise , 1922 .

[6] N. Levinson. The Wiener (Root Mean Square) Error Criterion in Filter Design and Prediction , 1946 .

[7] A. Berkhout,et al. On the Minimtm Pease Criterion of Sapnled Signals , 1973 .

[8] H. M. Paynter,et al. Inners and Stability of Dynamic Systems , 1975 .

[9] A. J Berkhout. Correspondence item: Stability and least-squares estimation , 1975 .

[10] I︠a︡. L. Geronimus. Polynomials orthogonal on a circle and their applications , 1954 .

[11] Marcello Pagano,et al. WHEN IS AN AUTOREGRESSIVE SCHEME STATIONARY , 1973 .