Generation of current conveyor based oscillators using nodal admittance matrix expansion

Abstract

A new approach in the systematic synthesis of current conveyor based active RC canonic oscillators is given. The synthesis procedure is based on the generalized systematic synthesis framework using admittance matrix expansion. The resulting derived oscillators include many novel oscillators, using various types of current conveyors and inverting current conveyors. The oscillators considered in this paper uses the minimum number of passive elements namely two capacitors and three resistors necessary to have independent control on the condition of oscillation and on the frequency of oscillation. The generated oscillators employ two grounded capacitors and have the advantage of their ability to absorb parasitic element effects. Three classes are considered in this paper, class I oscillators have a common node between one of the capacitors and one of the two grounded resistors. Class II oscillators have a common node between one of the capacitors and the floating resistor. Class III has all three resistors being grounded and one of them shares a node with one of the capacitors. It should be noted that this is the first paper in the literature to use nodal admittance matrix expansion in the generation of current conveyor oscillators. Spice simulation results are included to support the theory. The proposed method can be generalized to other active devices.

Systematic Derivation for Quadrature Oscillators Using CCCCTAs

“…At last, a second current mirror is connected rows 1 and 6 to move -G 4 to be G 4 at the position 6, 6. The NAM matrix with the added nullormirror elements represented by bracket notation is shown in (6). (6) Here, G 1 , G 2 , G 3 , and G 4 denote the admittances between nodes 3, 4, 5, 6 and ground, respectively.…”

“…(6) Here, G 1 , G 2 , G 3 , and G 4 denote the admittances between nodes 3, 4, 5, 6 and ground, respectively. As (6) shows, this expanded matrix contains four different pairs of pathological elements, two grounded capacitors, and four grounded admittances, namely G 1 , G 2 , G 3 , and G 4 .…”

“…The NAM expansion method has found wide applications since it was proposed [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The literature on gyrators, oscillators and filters has explained this viewpoint.…”

Active filter synthesis based on nodal admittance matrix expansion

“…So, the method of NAM expansion provides a bridge between the practical circuit design and theory. And, it is already applied to filter [8] and oscillator [9] design.…”

Derivation of Oscillators from Biquadratic Band Pass Filters Using Circuit Transformations

“…Their applications have been presented in the literature [11][12][13][14]. By the use of nodal admittance matrix expansion method and pathological elements, the systematic synthesis of the current conveyor-based active RC canonic oscillators was reported in [15,16].…”