Optimum pulse transmission through a plasma medium

The synthesis of optimum input signals for transmission through a lossless, homogeneous, and isotropic plasma is treated here. Matched filter theory is used in obtaining integral expressions for optimum input signals that can be solved approximately by the stationary phase method of integration. It is seen that the optimum input signals are amplitude and frequency modulated and result in a compressed pulse at the receiver which can be easily resolved. In addition, the ratio of the peak energy of the output pulse to that of the input pulse is seen to be large for long transmission distances even when the frequency of the input signal is limited to a narrow frequency range.