Computer-aided network optimization the state-of-the-art

Formal optimization procedures are destined to assume an increasingly useful role in network design. To form a basis for continued development, this paper summarizes the field by 1) presenting an extensive and detailed review of the optimization methods used in computer-aided network design and 2) giving state-of-the-art examples of iterative network design.

[1]  Sidney Darlington.  Network synthesis using Tchebycheff polynomial series , 1952 .

[2]  G. R. Hext,et al.  Sequential Application of Simplex Designs in Optimisation and Evolutionary Operation , 1962 .

[3]  C. G. Broyden.  A Class of Methods for Solving Nonlinear Simultaneous Equations , 1965 .

[4]  C. M. Reeves,et al.  Function minimization by conjugate gradients , 1964, Comput. J..

[5]  D. A. Calahan.  Computer design of linear frequency selective networks , 1965 .

[6]  Arthur Hausner,et al.  Chebyshev All-Pass Approximants for Time-Delay Simulation , 1966, IEEE Trans. Electron. Comput..

[7]  Albert William Hamilton.  The Use of Computers in the Design of Color Television Receivers , 1967 .

[8]  M. Aaron,et al.  The Use of Least Squares in System Design , 1956 .

[9]  W. Fraser,et al.  On the computation of rational approximations to continuous functions , 1962, CACM.

[10]  Kenneth Steiglitz,et al.  Time-Domain Approximation by Iterative Methods , 1966 .

[11]  C. Desoer,et al.  Author's Comments on 'Network Design by First-Order Predistortion Technique' , 1958 .

[12]  D. Bartholomew,et al.  Linear Programming: Methods and Applications. , 1959 .

[13]  G. Bosse.  Ein Rechenverfahren zur Approximation vorgegebener Laufzeitkurven , 1963 .

[14]  C. Desoer,et al.  Network Design by First-Order Predistortion Technique , 1957 .

[15]  Donald Albert Calahan,et al.  Modern network synthesis , 1964 .

[16]  J. MacDonald,et al.  Lossy Low-Pass Network Design by Iteration , 1966 .

[17]  G. Temes.  First-Order Estimation and Precorrection of Parasitic Loss Effects in Ladder Filters , 1962 .

[18]  Leo Storch,et al.  The transmission matrix of N alike cascaded networks , 1955, Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics.

[19]  J. Gibbons,et al.  Transistors and Active Circuits , 1961 .

[20]  T. Tsuchiya,et al.  A new calculation method for the design of filters by digital computer with the special consideration of the accuracy problem , 1963 .

[21]  Gabriel Kron,et al.  A Set of Principles to Interconnect the Solutions of Physical Systems , 1953 .

[22]  H. So,et al.  On the Hybrid Description of a Linear n-Port Resulting from the Extraction of Arbitrarily Specified Elements , 1965 .

[23]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[24]  Gabor C. Temes,et al.  An Iterative Approximation Procedure for Automatic Filter Synthesis , 1965 .

[25]  Eric L. Jones,et al.  A Method for the Solution of Roots of a Nonlinear Equation and for Solution of the General Eigenvalue Problem , 1966, JACM.

[26]  J. Jess,et al.  On the Design of Pulse-Forming Networks , 1965 .

[27]  Gabor C. Temes,et al.  Maximally flat approximation techniques , 1968 .

[28]  Gabor C. Temes,et al.  A Simple Method for the Predistortion of Filter Transfer Functions , 1963 .

[29]  C. Sanathanan,et al.  Transfer function synthesis as a ratio of two complex polynomials , 1963 .

[30]  M. J. Box.  A Comparison of Several Current Optimization Methods, and the use of Transformations in Constrained Problems , 1966, Comput. J..

[31]  R. E. Kalman,et al.  Optimum Seeking Methods. , 1964 .

[32]  John G. Linvill.  The Approximation with Rational Functions of Prescribed Magnitude and Phase Characteristics , 1952, Proceedings of the IRE.

[33]  S. Darlington,et al.  Synthesis of Reactance 4-Poles Which Produce Prescribed Insertion Loss Characteristics: Including Special Applications To Filter Design , 1939 .

[34]  Hans J. Maehly,et al.  Methods for Fitting Rational Approximations, Parts II and III , 1963, JACM.

[35]  M. Karnaugh,et al.  Approximation of Linear Phase Filters with Gaussian Damped Impulse Response , 1964 .

[36]  Allan W. Dickinson.  Nonlinear optimization: Some procedures and examples , 1964 .

[37]  J. Bingham.  A New Method of Solving the Accuracy Problem in Filter Design , 1964 .

[38]  Douglass J. Wilde,et al.  Foundations of Optimization. , 1967 .

[39]  C. Desoer,et al.  Design of Lossy Ladder Filters by Digital Computer , 1961 .

[40]  J. Bingham,et al.  Iterative Chebyshev Approximation Technique for Network Synthesis , 1967, IEEE Transactions on Circuit Theory.

[41]  Roger Fletcher,et al.  A Rapidly Convergent Descent Method for Minimization , 1963, Comput. J..