论文信息 - Applications of schur fractions to digital filtering and signal processing

Applications of schur fractions to digital filtering and signal processing

Lattice digital filters are used as models in machine analysis and synthesis of signals such as speech. It is shown that rational functions expressed in the form of Schur type continued fractions have poles which contain the desired information in the input signals. Results are given to locate these poles in various regions (e.g., disks, annuli, or complements of disks) without having to compute the poles.

Allan Steinhardt | William B. Jones | W. B. Jones | A. Steinhardt

[1] Henry C. Thacher,et al. Applied and Computational Complex Analysis. , 1988 .

[2] W. J. Thron,et al. Continued Fractions: Analytic Theory and Applications , 1984 .

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

[4] Allan Steinhardt,et al. Digital filters and continued fractions , 1982 .

[5] Ronald W. Schafer,et al. Digital Processing of Speech Signals , 1978 .

[6] Norbert Wiener,et al. Extrapolation, Interpolation, and Smoothing of Stationary Time Series , 1964 .

[7] Steven A. Tretter,et al. Introduction to Discrete-Time Signal Processing , 1976 .

[8] H. Wall,et al. Analytic Theory of Continued Fractions , 2000 .

[9] Martin H. Gutknecht. Ein Abstiegsverfahren für gleichmässige Approximation, mit Anwendungen , 1973 .

[10] George Cybenko,et al. The Numerical Stability of the Levinson-Durbin Algorithm for Toeplitz Systems of Equations , 1980 .

[11] TWO-POINT PADE TABLES, T-FRACTIONS AND SEQUENCES OF SCHUR , 1977 .

[12] P. Henrici. Applied and Computational Complex Analysis, Volume 2: Special Functions, Integral Transforms, Asymptotics, Continued Fractions , 1977 .