A numerical design procedure for general canonic LC one-ports

A numerical method has been developed and a computer program has been written to design arbitrary, canonic, inductor-capacitor one-ports. The design procedure employs a matrix tridiagonalization method in conjunction with a Newton-Raphson technique to solve for the element values in a canonic LC network to yield a prescribed driving-point impedance function. The numerical method is extremely stable and numerically well-conditioned; in one of our examples, a 14th degree, nonplanar
LC
structure was designed (using single precision arithmetic) yielding element values accurate to six significant figures.