Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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The physical realizability and realization of linear phase shift networks


Author: Paul M. Chirlian
Journal: Quart. Appl. Math. 18 (1960), 31-35
MSC: Primary 78.00
DOI: https://doi.org/10.1090/qam/119805
MathSciNet review: 119805
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Abstract: Necessary and sufficient conditions for the physical realizability of linear phase shift networks are imposed upon the network transfer function. A technique is presented for approximating non-physically realizable transfer functions with those which are physically realizable. It is demonstrated that if the approximation is properly limited, the unit impulse response can be made non-negative for all values of time. These results are extended to networks whose transfer functions phase shift is the sum of two terms, one which varies linearly with frequency and a second which varies in discrete steps of $ \pi $ radians.


References [Enhancements On Off] (What's this?)

  • [1] Claude E. Shannon, Communication in the presence of noise, Proc. I.R.E. 37 (1949), 10–21. MR 0028549
  • [2] E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford University Press, London, 1948, p. 170
  • [3] M. S. Corrington and R. W. Sonnenfeldt, Synthesis of constant time delay networks, R. C. A. Rev. 15, 163-186 (June 1954)
  • [4] H. E. Kallman, Transversal filters, Proc. IRE. 28, 302-310 (July 1940)

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DOI: https://doi.org/10.1090/qam/119805
Article copyright: © Copyright 1960 American Mathematical Society


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