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UBC Theses and Dissertations

A sampling-type function generator and four-quadrant analog multiplier Hildebrand, Bernard Percy

Abstract

This thesis describes the design and development of a sampling-type function generator and a four-quadrant analog multiplier. The project is divided into two parts, the general arrangement and circuitry of the function generator and multiplier, and the timing circuits which actuate them. This thesis is concerned with the general circuitry. The functions to be generated are photographed on 35 mm. film and mounted in standard frames which are then fastened to the rim of a rotating disk. An optical system is used to scan the functions in a time-sequential manner. A timing system selects the required abscissa and actuates a combination of electronic gates and clamping circuits which stores the voltage, Eք, representing the ordinate, and the voltage, Eм, representing the maximum of the function. These two stored voltages, Eք and Eм, are applied to separate sweep circuits which produce sweep outputs of EքN(t) and EмN(t) respectively. A system of comparator circuits and gates samples the EքN(t) at the instant a reference voltage, E, equals the sweep EмN(t). Since the sweeps, N(t) are identical, the value of EքN(t) at the instant of sampling is (formula not included). This sequence of operations occurs for each function as it is scanned. Each successive multiplication is stored in its own storage unit. All the circuits are designed to be self-calibrating to minimize error due to drift.

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