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Frequency multiplication by means of a nonlinear charge storage element is investigated. This element is assurmed to have an abrupt transition from an infinite to a zero capacitance. An analysis of a frequency multiplier circuit utilizing such an element is carried out with certain limitations imposed on the mode of operation in order to make possible an algebraic solution; namely that 1) only a fundamental and one harmonic current be applied to the nonlinear element, 2) only particular conduction angles be permitted, and 3) the fundamental and harmonic be subject to a particular phase relationship. These limitations permit an algebraic solution for circuit performance for any multiplication factor and for a range of conduction angles. The analysis yields directly the input and output resistances of the multiplier, in terms of which the conversion efficiency and power handling capability are derived. Design data are presented for circuits with muitiplication factors of between 2 and 20.