Circuits, Systems and Signal Processing

, Volume 16, Issue 2, pp 247–270 | Cite as

Time-limited and band-limited environment: Signals and systems

  • Dov Hazony
Article

Abstract

Of concern is an environment made up of signals and systems tightly confined both in time and frequency. Such an environment is often encountered in transmission line circuits, radar, sonar, and optical circuits, and when the principal signals are well-defined sharp pulses. It will be seen that once this environment is achieved, the signals and systems possess some attractive properties. A conventional system may preserve the symmetry of a propagating signal or change its symmetry from even to odd or from odd to even. Another system may be used to predict the arrival of an incoming pulse with a high degree of accuracy. Electrical networks may also be associated with these properties. Approximation problems, existence theorems, and realization schemes will be addressed and developed.

Keywords

Radar Transmission Line Sonar Approximation Problem Existence Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    V. Burke, R. J. Duffin, and D. Hazony, Distortionless wave propagation in inhomogeneous media and transmission lines,Q. Appl. Math. 7 (1976), 183–194.Google Scholar
  2. [2]
    A. D. Fialkow and I. Gerst, The transfer function of networks without mutual reactance,Q. Appl. Math. 12 (1954), 117–131.Google Scholar
  3. [3]
    I. Gerst and J. Diamond, The elimination of inter-symbol interference by input signal shaping,Proc. IRE (1961), 1195–1203.Google Scholar
  4. [4]
    R. A. Gibby and J. W. Smith, Some extensions of Nyquist's telegraph transmission theory,Bell System Tech. J. 44 (1965), 1487–1510.Google Scholar
  5. [5]
    S. Haykin,Communication Systems, third edition, Wiley, New York, 1993.Google Scholar
  6. [6]
    D. Hazony, The pulsating sphere,Appl. Phys. Lett. 39 (1981), 744.Google Scholar
  7. [7]
    D. Hazony, Circuit equivalent to the elastic spherical shell,Appl.Phys. Lett. 44 (1) (1984), 22–23.Google Scholar
  8. [8]
    D. Hazony and Y. Hazony, Time limited RLC networks,Proceedings of the Fifteenth Annual Allerton Conference on Communication, Control, and Computing (1977), 642–651.Google Scholar
  9. [9]
    N. Morrison, Smoothing and extrapolation of time series by means of discrete Laguerre polynomials,SIAM J. 15 (3) (1967), 516–538.Google Scholar
  10. [10]
    N. Morrison, Smoothing and extrapolation of time series by means of Laguerre polynomials,SIAM J. 16 (1968), 1280–1304.Google Scholar
  11. [11]
    N. Morrison,Introduction to Sequential Smoothing and Prediction, McGraw-Hill, New York, 1969.Google Scholar
  12. [12]
    H. Nyquist, Certain topics in telegraph transmission theory,Trans. AIEE 47 (1928), 617–644.Google Scholar
  13. [13]
    A. Papoulis,Probability, Random Variables, and Stochastic Processes, Ch. 8, McGraw-Hill, New York, 1965.Google Scholar
  14. [14]
    H. Stark, F. B. Tuteur, and J. B. Anderson,Modern Electrical Communications, second edition, Ch. 4, Prentice-Hall, Englewood Cliffs, NJ, 1988.Google Scholar

Copyright information

© Birkhuäser 1997

Authors and Affiliations

  • Dov Hazony
    • 1
  1. 1.Department of Electrical Engineering and Applied PhysicsCase Western Reserve UniversityCleveland

Personalised recommendations