An exponentially-scaling switched impedance circuit includes: two or more impedance scaling circuits, wherein each impedance scaling circuit comprises: an input port; an output port; and a switched impedance circuit connected in parallel to the output port. Each impedance scaling circuit is configured to provide an effective impedance at the input port corresponding to a scaled-down version of the exponentially-scaling switched impedance circuit. The two or more impedance scaling circuits are connected in a cascade such that an input of an impedance scaling circuit is connected to an output of a previous impedance scaling circuit and/or an output of the impedance scaling circuit is connected to an input of a next impedance scaling circuit.
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