DESIGN OF IMPEDANCE TRANSFORMERS BY THE METHOD OF LEAST-SQUARES

The method of least squares is applied to the theory of small reflecti ons of transmission lines to develop numerical algorithms for the desi gn of stepline and tapered line impedance transformers to match two im pedances over a frequency band. The transformer characteristic impedan ce function is expanded by polynomials, pulse functions, approximate o perators, and piecewise linear functions to construct an error functio n for the input reflection coefficient which, after minimization, give s the line impedance and length. The computer programs could be used t o design a transformer under the specified conditions and then to opti mize the design under the constraints of a problem.