Zero-pole distribution rules of scaling fractal fractance approximate circuits

Abstract:

For the structural and mathematical features of some scaling fractal fractance approximation circuits,the irregular scaling equations of the typical scaling circuits have been solved and trimmed. Accurate zeropole values are computed by using the transmission matrix algorithm and the matrix labority. It is found and verified the linear distribution rule for the zerpole value which locates in the middle of the circuit section. Not only the linear distribution formula of zeros and poles are given, but also the irregular scaling equations corresponding to the typical scaling fractal fractance approximation circuits have been solved and sorted.

Key words:scaling fractal fractance; zero-pole distribution; transmission matrix; irregular scaling equation