# A Family of Memristive-Transfer Functions of Negative-Feedback Nullor-Based Amplifiers

Authors
• 1 INAOE, Electronics Department, Puebla, Pue., 72000, Mexico , Puebla (Mexico)
• 2 Universidad Veracruzana, Facultad de Instrumentación y Ciencias Atmosféricas Maestría en Ingeniería Electrónica y Computación, Xalapa, Ver., Mexico , Xalapa (Mexico)
Type
Published Article
Journal
Circuits, Systems, and Signal Processing
Publisher
Springer US
Publication Date
Mar 18, 2015
Volume
34
Issue
11
Pages
3431–3447
Identifiers
DOI: 10.1007/s00034-015-0013-9
Source
Springer Nature
Keywords
Memristors, memristive systems and mem-elements have been introduced in recent years as key devices for featuring novel possibilities for signal processing both digital and analog. The variable resistance of the memristor has been used as a powerful feature for the realization of new circuits. In this paper, the memristor is applied to the design of nullor-based negative-feedback amplifiers. The principal result of this application consists in the generation of a new family of memristive-transfer functions for all types of amplifiers: voltage, transconductance, transresistance and current. This novel idea represents the new version of the conventional negative-feedback amplifiers and introduces the use of the memristor as feedback element. A behavioral model based on the q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q$$\end{document}–φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varphi$$\end{document} relationship of the memristor is introduced which results helpful for simulating the new amplifiers. The nullor-based negative-feedback amplifiers with memristor are inspected by cases of study. In addition, the trans-mem conductance amplifier is widely studied with one nullor implementation, namely MOS. The implementation yields hybrid (MOS/memristor) circuits.