4. K. W. Henderson, "Nomograph for Designing Elliptic-Function Filters," Proc. IRE, vol. 46, pp , 1958.

Transcription

1 BIBLIOGRAPHY Books. W. Cauer, Synthesis of Linear Communication Networks (English translation from German edition), McGraw-Hill Book Co., New York, W. K. Chen, Theory and Design of Broadband Matching Networks, Pergamon Press, London, E. Christian and E. Eisenmann, Filter Design Tables and Graphs, John Wiley & Sons, New York, R. W. Daniels, Approximation Methods for Electronic Filter Design, McGraw-Hill Book Co., New York, J. L. Herrero and G. Welloner, Synthesis of Filters, Prentice Hall, Inc., Englewood Cliffs, N.J., L. P. Huelsman and P. E. Allen, Introduction to the Theory of Active Filters, McGraw-Hill Book Co., New York, D. E. Johnson, J. R. Johnson, and H. P. Moore, A Handbook of Active Filters, Prentice-Hall, Inc., Englewood Cliffs, N.J., L. M. Milne-Thomson, Jacobian Elliptic Function Tables, Dover Publications, Inc., New York, R. Saal, Handbook of Filter Design, AEG-Telefunken, Berlin, J. K. Skwirzynski, Design Theory and Data for Electrical Filters, Van Nostrand Co., New York,

2 288 BIDLIOGRAPHY. G. W. Spenceley and R. M. Spenceley, Smithsonian Elliptic Function Tables, Smithsonian Institution, Washington, D.C., A. I. Zverev, Handbook 0/ Filter Synthesis, John Wiley & Sons, New York, 967 Articles. S. Darlington, "Simple Algorithms for Elliptic Filters and Generalizations Thereof," IEEE Trans. Oircuits and Systems, vol CAS-25, pp , S. Darlington, "Synthesis of Reactance 4-Poles which Produce Prescribed Insertion Loss Characteristics," Jour. 0/ Mathematics and Physics, vol. 8, pp , A. J. Grossman, "Synthesis of TchebycheffParameter Symmetrical Filters," Proc. IRE, vol. 45, pp , K. W. Henderson, "Nomograph for Designing Elliptic-Function Filters," Proc. IRE, vol. 46, pp , H. J. Orchard, "Computation of Elliptic Functions of Rational Fractions of a Quarterperiod," IRE Trans, Oircuit Theory, vol. CT-5, pp , G. Szentirmai, "FILSYN-A General Purpose Filter Synthesis Program," Proc. IEEE, vol. 65, pp , H. Watanabe, "Approximation Theory for Filter Networks," IRE Trans. Oircuit Theory, vol. CT-8, pp , 96.

3 SYMBOL INDEX Al A2 H(s) IH(jw) K n Pi s [= 0" + jw] a(w) Normalized minimum passband magnitude, 2, 3,5 Normalized maximum stopband magnitude, 2,3,5 Filter network function,, 3, 4 Magnitude of H(s) on the jw axis, 2, 6 Multiplicative constant of H(s), 3,4 Order of filter function, 3, 4,6, 23, 3, i-th pole of H(s), 3, 4 Complex frequency variable,,3,4 i-th zero of H(s), 3, 4 db loss of H(s) along the jw axis, 2, 3 Passband ripple in db, 3, 23, 3, Stopband attenuation in db, 3,23, 3, W Wi [i =,..., n] w; [i=,...,n] wzi Radian, angular, or real frequency,,2,4 Locations of extrema in the pass band, 5 Locations of extrema in the stop band, 5 Normalized transition band ratio, 2, 5 i-th transmission zero on the w axis, 4 289

4 SUBJECT INDEX Accuracy, 6 All-pole functions, Approximate functions, 267 Approximation, 6 Attenuation (see also Loss) Passband, 2, 3, 23, 3, Stopband, 2,3, 3, Attenuation characteristic, 2,3 Band, Pass, 2, 5 Stop, 2, 5 Transition, 2, 23, Band-elimination characteristic, Band-pass characteristic, Bandwidth (see Pass band) Butterworth characteristic, Cauer filter,, 2 Chebyshev characteristic, Constant, Multiplicative, 3, 4 Cutoff frequency (see Pass band) Elliptic network function, 2 Equal-ripple characteristic, Even-order function, 4 Extrema, 5, 6 Factors, Real-pole, 4 Pole-pair, 4 Zero-pair, 3, 4 Finite differences, Frequencies of infinite loss, 3 (see also Transmission zeros) Frequency transformation, High-pass characteristic, Interpolation by polynomial, 268- Linear, 267 Parabolic, 268 Three-point, 268 Two-point, 267 Elliptic function, Jacobian, Elliptic magnitude characteristic, Jacobian elliptic function, 29

5 292 TABLES FOR ELLIPTIC-FUNCTION FILTERS Linear interpolation, 267 Locations of extrema, 5 Loss, Frequencies of infinite, 3 Loss, Stopband, 3, 23,3, Loss characteristic, 2, 3 Low-pass characteristic, Magnitude characteristic, 2 Maxima, 5 Maximally-flat characteristic, Maximum magnitude in the stop band, 2 Maximum magnitude locations, 5 Method of finite differences, Minima, 5 Minimum magnitude in the pass.44inband, 2 Minimum magnitude locations, 5 Multiplicative constant, 3, 4 Network function,, 3,4, 267, Elliptic, 2 Even-order, 4 Form of, 3 Odd-order, 4 Normalization, 2, 5 Odd-order function, 4 Optimum low-pass characteristic, Order of network function, 3, 6 Passband attenuation, 2, 3, 23, 3, Passband minimum magnitude, 2, 5 Passband ripple, 3, 23, 3, Pole-pair factors, 4 Poles, 3 Complex conjugate, 4 Real, 4 Polynomial interpolation, 268 Ratio, Transition band, 2, 23, Real poles, 4 Ripple, Passband, 3, 23, 3, Significant figures, 6 Standard characteristics, Stop band, 2, 5 Stopband attenuation, 2, 3, 3, Stopband maximum magnitude, 2, 5 Summary of filter parameters, Three-point interpolation, 268 Transfer function (see Network function) Transition band, 2, 5, 23, Transition band ratio, 2, 23, Transmission zeros,, 3 Two-point interpolation, 267 Parabolic interpolation, 268 Pass band, 2, 5 Zeros, 3 Transmission,, 3 Zero-pair factors, 3, 4