This book documents the significant progress in studies concerning linear circuits and systems, including their applications to digital filters, in Japan. It considers rational approximations in circuit and system theory and deals with the digital lattice filters used in digital signal processing.
Part I: System-Theoretical Representation of Network Functions 1. System-Theoretical Representations of Linear Passive Networks 2. RC Active Circuit Synthesis via State Variable Method Part II: Interpolation Minimization and Rational Approximation 3. Application of Classical Interpolation Theory 4. System-Theoretical Consideration of Multipoint Pade Approximation 5. Algebraic Stability Criteria and their Application to Model Reduction 6. Linear Systems with Transfer Functions of Bounded Type: Factorization Approach 7. Stability of Polynomial Matrices and Routh Approximation of MIMO Systems Part III: Digital Lattice Filters as a Bridge Among Circuit Theory, System Theory and Prediction Theory 8. Circular Lattice Filtering for Recursive Least-Squares and ARMA Modeling 9. Adaptive Identification of ARMA Model and Model Identification System 10. ARMA Digital Lattice Filter Based on Linear Prediction Theory 11. Wave Digital Filter Synthesized with the Darlington Procedure of Classical Circuit Theory 12. Complex Transmission-Line Circuit and Complex Wave Digital Filter 13. Application of ARMA Digital Lattice Filter to Speech Analysis and Reconstruction