Analysis of the equal-delay topology for transformers and hybrid networks

A complete scattering matrix representation for the ideal equal-delay topology for transformers and hybrid networks is presented. It is shown that while the operation of the hybrid as a 180/spl deg/ power combiner, current balun, or voltage balun is essentially frequency independent, the operation as a 0/spl deg/ power combiner or splitter is not. Instead, the isolation between the 0/spl deg/ and 180/spl deg/ ports is finite and frequency dependent. Moreover, the reflection coefficient at the sum port is nonzero and frequency dependent. These characteristics lead to the conclusion that while the equal-delay 180/spl deg/ power splitter/combiner is fundamentally frequency independent, its 0/spl deg/ counterpart is limited to operation well below the fundamental quarter-wave frequency of the constituent transmission lines. Full three-port scattering parameter representations, which are compatible with the calibration and analysis approach given in the CISPR 16-1 specification, are given for the three fundamental transformer and balun types derivable from the equal-delay hybrid: 1 the Guanella voltage balun, 2 the Guanella current balun, and 3 the 180/spl deg/ power divider or terminated hybrid balun, as specified in the CISPR 16-1 specification.