Voltage amplification in switched-capacitor networks

The letter deals with the voltage amplification property of networks containing only capacitors and switches. It is shown that with any given n capacitors a circuit comprising a finite number of switches may be realised for which a voltage amplification close to 2n is achievable. If there is freedom in choosing the capacitors, then a switching circuit may be designed for which voltage amplification close to 22n¿2+2n¿1 is achievable. It is conjectured that this number presents the upper bound of voltage amplification achievable by means of an SC circuit with n capacitors.