Generation of equivalent forms of operational trans‐conductance amplifier‐RC sinusoidal oscillators: the nullor approach. Issue 6 (23rd June 2014)

• Record Type: Journal Article
• Authors: Senani, Raj; Gupta, Manish; Bhaskar, Data Ram; Singh, Abdhesh Kumar
• Is Part Of: Journal of engineering. Volume 2014:Issue 6(2014)
• Page Start: 324
• Page End: 331
• Publication Date: 2014-06-23
• Subjects: operational amplifiers -- equivalent circuits -- CMOS analogue integrated circuits -- oscillators -- RC circuits; size 0.18 mum -- CMOS technology process -- SPICE simulations -- CMOS OTAs -- explicit‐current‐output quadrature oscillators -- equivalent op‐amp oscillator circuits -- nullor‐based theory -- GC -- grounded capacitors -- characteristic equation -- dual‐OTA‐RC sinusoidal oscillators -- single‐OTA‐RC sinusoidal oscillators -- single operational transconductance amplifier‐RC sinusoidal oscillators -- equivalent form generation; Engineering -- Periodicals; Engineering; Electronic journals; Periodicals; 620.005
• DOI: 10.1049/joe.2013.0200
• Languages: English
• ISSNs: 2051-3305

Abstract

Abstract : It has been shown in two earlier papers published from this study that corresponding to a given single‐operational trans‐conductance amplifier (single‐OTA)‐RC and dual‐OTA‐RC sinusoidal oscillators, there are three other structurally distinct equivalent forms having the same characteristic equation, one of which employs both grounded capacitors (GC). In this study, an earlier nullor‐based theory of generating equivalent op‐amp oscillator circuits, proposed by the first author, is extended to derive equivalent OTA‐RC circuits which discloses the existence of an additional number of equivalent forms for the same given OTA‐RC oscillators than those predicted by the quoted earlier works, and thereby considerably enlarging the set of equivalents of a given OTA‐RC oscillator. Furthermore, the presented nullor‐based theory of generating equivalent OTA‐RC oscillators results in three additional interesting outcomes: (i) the revelation that corresponding to any given OTA‐RC oscillator there are two 'both‐GC' oscillators (and not merely one, as derived in the quoted earlier works); (ii) the availability of explicit current outputs in several of the derived equivalents and (iii) the realisability explicit‐current‐output 'quadrature oscillators' in some of the generated equivalent oscillators. The workability of the generated equivalent OTA‐RC oscillators has been verified by SPICE simulations, based on CMOS OTAs using 0.18 µm CMOS technology process parameters, and some sample results are given.