SIGNAL RESTORATION AFTER TRANSMISSION THROUGH A NONUNIFORM LCRG LINE

In the present paper, signal restoration after transmission through a nonuniform LCRG line is treated by means of a compact Green function a pproach. These Green functions are characteristic of the nonuniform li ne and independent of the incident signal. The compact Green functions map the signal which is received after transmission through a nonunif orm LCRG line to split components of the voltage at an arbitrary point on the nonuniform line. Partial differential equations for the compac t Green functions are derived together with initial, boundary and jump conditions. A convolution integral with the compact Green function as the kernel is used to restore the original signal. Numerical results for the compact Green functions and for the restored signal are presen ted. It is noted that for transmission lines with considerable losses, good restoration can be obtained instantaneously by means of a simple RC circuit.