Time-limited and band-limited environment: Signals and systems
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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 TheoremPreview
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References
- [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]A. D. Fialkow and I. Gerst, The transfer function of networks without mutual reactance,Q. Appl. Math. 12 (1954), 117–131.Google Scholar
- [3]I. Gerst and J. Diamond, The elimination of inter-symbol interference by input signal shaping,Proc. IRE (1961), 1195–1203.Google Scholar
- [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]S. Haykin,Communication Systems, third edition, Wiley, New York, 1993.Google Scholar
- [6]D. Hazony, The pulsating sphere,Appl. Phys. Lett. 39 (1981), 744.Google Scholar
- [7]D. Hazony, Circuit equivalent to the elastic spherical shell,Appl.Phys. Lett. 44 (1) (1984), 22–23.Google Scholar
- [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]N. Morrison, Smoothing and extrapolation of time series by means of discrete Laguerre polynomials,SIAM J. 15 (3) (1967), 516–538.Google Scholar
- [10]N. Morrison, Smoothing and extrapolation of time series by means of Laguerre polynomials,SIAM J. 16 (1968), 1280–1304.Google Scholar
- [11]N. Morrison,Introduction to Sequential Smoothing and Prediction, McGraw-Hill, New York, 1969.Google Scholar
- [12]H. Nyquist, Certain topics in telegraph transmission theory,Trans. AIEE 47 (1928), 617–644.Google Scholar
- [13]A. Papoulis,Probability, Random Variables, and Stochastic Processes, Ch. 8, McGraw-Hill, New York, 1965.Google Scholar
- [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