According to behavioral models of the second order current-controlled conveyor (CCCII) and using the nodal admittance matrix (NAM) expansion method and the adjoint network theorem, the family of double-mode quadrature LC oscillators employing CCCIIs is synthesized. It contains three different classes. The class A oscillator employs four CCCIIs as active element and possesses 32 different forms, the class B oscillator employs three CCCIIs and possesses 16 different forms, and the class C oscillator, employing four CCCIIs or two CCCIIs and one dual-output CCCII, possesses 32 different forms. In all, 80 LC oscillators using CCCIIs are obtained. By the aid of CCCII-based simulating grounded inductors, 80 LC oscillators are extended into 320 ones. Because of using grounded capacitors, the circuits can be easily integrated and the oscillation criterion, the oscillation frequency, and the 3 dB bandwidth can be independently, linearly, and electronically tuned by tuning bias currents of the CCCIIs. The Pspice simulation data match the hand analysis results, which match the synthesized circuits.

Keywords: LC oscillator, Electronic control, Current-controlled conveyor, Nodal admittance matrix expansion