Dynamic model for the analog multiplier

Author

Baranyi, Andras ; Chua, Leon O.

Volume

Issue

fYear

1982

fDate

2/1/1982 12:00:00 AM

Firstpage

Lastpage

Abstract

Under reasonable assumptions, it is shown that the dynamic behavior of an analog multiplier driven by band-limited signals $\\upsilon _{X}(t)$ and $\\upsilon _{Y}(t)$ can be modeled by $\\upsilon _{0} = K[\\upsilon _{X}\\upsilon _{Y} -T_{A}\\dot{\\upsilon }_{X}\\upsilon _{Y} - T_{B}\\upsilon _{X}\\dot{\\upsilon }_{Y}]$ . The three model parameters $K, T_{A}$ , and $T_{B}$ can be determined by frequency-domain measurements. This simple equation can in turn be modeled by a circuit containing 2 linear capacitors, 2 linear controlled sources, and an ideal multiplier described by $\\upsilon _{0}= K \\upsilon _{X} \\upsilon _{Y}$ .

Keywords

Analog multipliers; Band-limited signals; General analysis and synthesis methods; Nonlinear circuits; Capacitors; Circuits; Communication standards; Communication system control; Frequency measurement; Helium; Measurement standards; Nonlinear distortion; Nonlinear equations; Voltage;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/TCS.1982.1085116

Filename

1085116

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1186703