TIME-LIMITED AND BAND-LIMITED ENVIRONMENT - SIGNALS AND SYSTEMS

Of concern is an environment made up of signals and systems tightly co nfined both in time and frequency. Such an environment is often encoun tered in transmission line circuits, radar, sonar, and optical circuit s, and when the principal signals are well-defined sharp pulses. It wi ll be seen that once this environment is achieved, the signals and sys tems possess some attractive properties. A conventional system may pre serve 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 predic t the arrival of an incoming pulse with a high degree of accuracy. Ele ctrical networks may also be associated with these properties. Approxi mation problems, existence theorems, and realization schemes will be a ddressed and developed.