“…First, a passive band-pass filter was designed following the Cohn's coupled resonators filter topology [25] to find the values of capacitance C res and inductance L res required, in which the inductor value was established according to the commercial chip inductors available; this allowed for evaluating the behavior of the filter using an inductor with a specific Q, considering the introduced losses. Then, values for the RLC feedback load were chosen, using Equations ( 6) and (7), to ensure that the negative impedance was within the interested frequency range, considering the damping resistance equal to zero; since this range shrinks as the resistance becomes larger, it must be greater than the desired tunability range. Once the values for the feedback load and the resonator parameters were set, we needed to match the active capacitance input admittance with the desired one to achieve the equivalent parallel resistance of the chosen real inductor, which is R loss in (9), so that the input resistance and the input capacitance of the active circuit matched R loss and C res , respectively.…”