Synthesis of delay networks for an analogue computer

The merits and limitations of simulating a time delay by means of active RC networks are considered. The various methods of determining transfer functions which approximate to that of a pure delay, are discussed. Optimum all-pass and low-pass transfer functions based on a minimum-mean-square-error criterion are derived and compared to the Pade functions and equal-ripple envelope delay functions. The relative merits of the low-pass and all-pass approximations are discussed. Some methods of implementing the optimum transfer functions on an analogue computer are described.

[1]  Sidney Darlington.  The potential analogue method of network synthesis , 1951 .

[2]  J. Fall.  A Digital Computer Program for the Design of Phase Correctors , 1961 .

[3]  W. E. Thomson.  Delay networks having maximally flat frequency characteristics , 1949 .

[4]  W. J. Cunningham.  Time-delay networks for an analog computer , 1954, Trans. I R E Prof. Group Electron. Comput..

[5]  E. S. Kuh,et al.  Synthesis of Lumped Parameter Precision Delay Line , 1957, Proceedings of the IRE.

[6]  H. W. Bode,et al.  Network analysis and feedback amplifier design , 1945 .

[7]  R. Sallen,et al.  A practical method of designing RC active filters , 1955, IRE Transactions on Circuit Theory.

[8]  R.J.A. Paul,et al.  Realisation of fourth-order rational transfer functions with adjustable coefficients , 1964 .

[9]  M. J. Somerville,et al.  Low-pass Approximations to a Time-delay Characteristic! , 1963 .

[10]  W. J. Cullyer,et al.  Network synthesis using negative-impedance convertors , 1964 .

[11]  W. Kautz,et al.  Transient Responses of Conventional Filters , 1958 .

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

[13]  M. J. Somerville,et al.  Filter Synthesis using Active RC Networks , 1962 .

[14]  B. Liu,et al.  A Time Domain Approximation Method and Its Application to Lumped Delay Lines , 1962 .

[15]  R.J.A. Paul,et al.  Simulation of rational transfer functions with adjustable coefficients , 1962 .

[16]  J. G. Linvill,et al.  RC Active Filters , 1954, Proceedings of the IRE.

[17]  L. Weinberg,et al.  Networks Synthesis: Vol. 1 , 1958 .

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

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

[20]  H. Padé.  Sur la représentation approchée d'une fonction par des fractions rationnelles , 1892 .

[21]  P. L. Taylor,et al.  Flexible design method for active RC two-ports , 1963 .