A new analysis of n-way hybrid power dividers with arbitrary power splitting ratios
Abstract
An analysis is carried out of n-way Hybrid Power Dividers (HPD) which split an input signal into n output signals in phase and with arbitrary amplitude ratios, and which is obtained by cascading M sections of coupled n-wire lines of equal length with isolation resistors that are given by a general n-port resistive circuit including the Y-connection. It has been described that n output port conductances, characteristic admittance matrices and isolation resistors are directly obtained from the power dividing ratios. The analysis is done by getting the eigenvalues and the corresponding eigenvectors of characteristic admittance matrices of n-wire coupled lines and admittance matrices for isolation resistors multiplied by the diagonal matrix constituted with the power dividing ratios. By this analysis, it has been shown that the (n+1)-port made with a coupled n-wire line with isolation resistors of the Y-connection acts as an n-way HPD at narrow-band frequencies. The broad-band n-way HPD may be obtained easily by numerical computation, because the scattering matrix of an n-way HPD has been obtained.
- Publication:
-
In its Equivalent Circuit Representation of Coupled Multiwire Line and Its Appl. p 83-103 (SEE N77-33403 24-33
- Pub Date:
- 1977
- Bibcode:
- 1977ecrc.nasa...83N
- Keywords:
-
- Microwave Circuits;
- Network Analysis;
- Propagation Modes;
- Equivalent Circuits;
- Matrices (Mathematics);
- Microwave Equipment;
- Transformers;
- Transmission Lines;
- Electronics and Electrical Engineering