Based on sixteen nullor-mirror models of the voltage differencing transconductance amplifier (VDTA) andport admittance matrices of the tow-Thomas (T-T) filter with orthogonal control between the characteristic frequency (fo) and figure of merit (Q), two different categories of the voltage-mode and transconductance-mode T-T filters are synthesized by the means of the nodal admittance matrix (NAM) expansion method. The category A filter that employs two compressive VDTAs and two grounded capacitors includes four structures, and the category B filter that uses two compressive VDTAs, two grounded capacitors, and one grounded resistor, also includes four structures. These circuits are suitable for integrated circuit manufacture, and their parameters fo and Q can be orthogonally adjusted with varying the bias currents of VDTAs. After the paper and pencil test is completed, the computer analyses, including altating current (AC), parameter sweep, Monte Carlo (MC), and noise analyses, are performed to support the synthesis approach.