404 THE BELL SYSTEM TECHNICAL JOURNAL, MARCH 1952 



A number of people with whom the above material has been discussed 

 have given helpful comments and criticisms. I wish to acknowledge my 

 debt in tliis respect to H. Nyquist, S. A. Schelkunoff, R. M. Foster, S. (). 

 Rice, J. Riordan and W. H. Wise. 



BIBLIOGRAPHY 



1. R. M. Foster, "A Reactance Theorem," Bell System Tech. J., 1924, 3, p. 259; 



also, "Theorems on the Driving Point Impedance of Two-Mesh Circuits," 

 Bell System Tech. J., 1924, 3, p. 651. 



2. W. Cauer, "Die Verwirklichung von Wechselstromwiclerst stJinden vorge- 



schriebener Frequenzabhangigkeit," Archiv fur Electrot., 1926-27, 17, p. 

 355. 



3. G. A. Campbell and R. M. Foster, "Fourier Integrals for Practical Applica- 



tions," Bell System Tech. J., Oct. 1928, pp. 639-707; Bell System Monograph 

 B-584. 



4. T. C. Fry, "The Use of Continued Fractions in the Design of Electric Net- 



works," Bull, of Am. Math. Soc, 1929, 35, p. 463. 



5. O. Brune, "Synthesis of a Finite Two-terminal Network Whose Driving-point 



Impedance Is a Prescribed Function of Frequency," Journal of Math, and 

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6. Sidney Darlington, Journal of Math, and Physics {M.I.T.), Sept. 1939, 4, pp. 



257-353. 



7. E. C. Titchmarsh, "The Theory of Functions," Oxford Univ. Press, 2nd ed., 



1939, p. 110. 

 5. Gustav Doetsch, Theorie und Anwendung der Laplacetransformation, 1st Am. 



Ed. 1943, p. 139. 

 9. S. A. Schelkunoff, "Representation of Impedance Functions in Terms of 



Resonant Frequencies," Proc. of the I.Ii E., 1944, 32, No. 2, p. 83. 



10. H. W. Bode, Network Analysis and Feedback Amplifier Design, D. Van Nos- 



trand Co., 1945. 



11. P. I. Richards, "A Special Class of Functions with Positive Real Part in a 



Half-plane," Duke Math. J., 1947, 14, pp. 777-786. Also "General Impedance 

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12. E. A. Guillemin, The Mathematics of Circuit Analysis, John Wiley and Sons, 



Inc., New York, 1950, pp. 409-422. 



