AN ANALYTIC METHOD FOR TWO-PORT PASSIVE NETWORK COMPUTING FOR ANALYSIS OF COUPLED OSCILLATORS

Abstract

Voltage controlled oscillators are present in the most of the digital communication system. In our days, they are
used to control the phase in microwave antenna arrays. Researches are made so that a particular phase shift can be
obtained by choosing the free-running frequencies of the oscillators in the array. In this paper, we have analyzed, in different
ways, in time and also in frequency domain, the phase shift between output voltages of each oscillator. Because the
coupling circuit is a two-port passive complex network, a new software which can generate in full-symbolic or numericsymbolic
form the Y, Z, H, and fundamental parameters of a two-port structure was implemented. Our procedure can also
determine all the resonant frequencies of any two-port configuration as functions of the two-port circuit parameters. The
procedure is based on the modified nodal equations in full-symbolic form and/or on the state equations in full-symbolic
normal form, in the frequency domain. For this procedure a new program called ANCSYANP (Analog Circuit Symbolic
Analysis Program) was elaborated. Some illustrative examples are done

Keywords: symbolic analysisphase shiftsynchronization frequencyVan der Poll oscillatorY parameterstime analysisfrequency analysis