Abstract: The present invention provides an active inductor apparatus and system, having a variable frequency response through inductance adjustment. The active inductor apparatus comprises a variable resistive element and a variable gain element, and the system further comprises an inductance controller and a gain controller. The variable resistive element has a first terminal and a second terminal, with the second terminal capable of receiving a first adjustment signal. The inductance controller is capable of providing the first adjustment signal to control and adjust a resistance level of the variable resistive element. The variable gain element has a third terminal capable of receiving a second adjustment signal. The gain controller is capable of providing the second adjustment signal to control and adjust a transconductance of the variable gain element.