The study and design of an electronic analog multiplier, 1971

Item — Multiple Containers

Identifier: b2087736

Staff Only

Scope and Contents

From the Collection:

The collection consists of theses written by students enrolled in the Monmouth College and Monmouth University graduate Electronic Engineering programs. The holdings are bound print documents that were submitted in partial fulfillment of requirements for the Master of Science degree.

Dates

Creation: 1971

Creator

Embley, Ronald W. (Ronald Walter) (Author, Person)
Hohmann, Jere W. (Thesis advisor, Person)

Conditions Governing Access

All analog collection holdings are limited to library use only.

Researchers seeking to photocopy collection materials must complete an Application to Photocopy Form.

In some cases, photocopying of collection materials may be performed by the Monmouth University Library staff.

The Monmouth University Library reserves the right to limit or refuse duplication requests subject to the condition of collection materials and/or restrictions imposed by the collection creators or by the United States Copyright Act.

Permission to examine, or copy, collection materials does not imply permission to publish or quote. It is the responsibility of the researcher to obtain such permissions from both the copyright holder and Monmouth University.

Extent

2 Items (print book) : 39 pages ; 8.5 x 11.0 inches (28 cm).

Language of Materials

English

Additional Description

Abstract

This work will pursue the study of an electronic analog multiplier such as those commonly employed in analog computers. This particular multiplier uses the well known logarithmic characteristic of PN junctions together with the highly popular operational amplifier. The multiplier being considered employs a somewhat unique approach to obtain four quadrant operation and various correction means to improve multiplier accuracy.

The multiplier, as now envisioned, uses four logarithmic diodes, five monolithic integrated circuit operational amplifiers, fourteen precision resistors plus miscellaneous circuit components. It is further envisoned that this multiplier technique has the following potential: static accuracy to 99.9% (error of ± 0.1% of full scale output), manufacturing cost of less than thirty dollars ($30) using thick film resistors and packaging techniques, and accuracy insensitivity to ambient temperature change provided by a heater and active regulator circuitry included on the thick film substrate.

This study will encompass a detailed theoretical analysis of the multiplier circuit yielding as a result accuracy achievable as a function of component tolerances, amplifier gain and offsets, and ambient temperature variations. Circuit models will be developed which include finite amplifier gain and offsets, log diode tolerances, and resistor tolerances with temperature as a parameter. Circuit equations will be written describing the output product as a function of the inputs, circuit component tolerances and temperature. Simplifying assumptions will be made and circuit sensitivities derived where possible. A digital computer Monte-Carlo simulation will be performed on the detailed circuit equations yielding statistical information such as maximum error histograms for various distributions and limits on circuit component tolerances. From these results, practical component tolerance limits can be set, total multiplier accuracy can be specified and corresponsing [sic] manufacturing cost can be accurately estimated.