Hindawi Publishing Corporation
Journal of Electrical and Computer Engineering
Volume 2011, Article ID 175130, 6 pages
doi:10.1155/2011/175130
Research Article
New Topologies of Lossless Grounded Inductor Using OTRA
Rajeshwari Pandey,
1
Neeta Pandey,
1
Sajal K. Paul,
2
A. Singh,
1
B. Sriram,
1
and K. Trivedi
1
1
Department of Electronics and Communication, Delhi Technological University, Bawana Road, Delhi 110042, India
2
Department of Electronics Engineering, Indian School of Mines, Dhanbad 826004, India
Correspondence should be addressed to Sajal K. Paul, sajalkpaul@rediffmail.com
Received 28 March 2011; Revised 14 June 2011; Accepted 14 June 2011
Academic Editor: Raj Senani
Copyright © 2011 Rajeshwari Pandey et al. This is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
Two alternate topologies of lossless grounded inductor have been proposed using operational transresistance amplifier (OTRA).
Three applications using the proposed inductors are also included. PSPice simulation and experimental results have been included
to demonstrate the performance and verify the theoretical analysis.
1. Introduction
Recently the operational transresistance amplifier (OTRA)
has emerged as alternate important analog building block
as it inherits all the advantages offered by current mode
techniques. The OTRA is a high-gain current input voltage
output device. The input terminals of OTRA are internally
grounded, thereby eliminating response limitations due to
parasitic capacitances and resistances at the input. Although
the OTRA is commercially available from several sources
under the name of current differencing amplifier or Norton
amplifier, it has not gained attention until recently. These
commercial realizations do not provide internal ground
at the input port and allow the input current to flow
in one direction only. The former disadvantage limits the
functionality of the OTRA where as the later forces to use
external DC bias current leading to complex and unattrac-
tive designs [1]. Several high-performance CMOS OTRA
topologies have been proposed in literature [1–4] leading
to growing interest in OTRA-based analog signal processing
circuits. In the recent past OTRA has been extensively used
as an analog building block for realizing a number of
signal processing circuits such as filters [5–8], oscillators
[9, 10], multivibrators [11, 12], and immittance simulation
circuits [9, 13–15], an application which has been dealt with
in this paper. A number of grounded parallel immittance
topologies using single OTRA are proposed in [13]. However
none of these configurations can realize a lossless grounded
inductor. The structure in [14] presents simulation of lossless
negative grounded inductance. Lossless grounded inductor
simulators using two OTRAs, five resistors, and one capacitor
are presented in [9, 15].
In this paper two additional topologies of lossless
grounded inductor using two OTRAs, five resistors, and
one capacitor are reported. In these topologies five passive
elements out of six are grounded as compared to four
grounded elements in [9, 15]. Some applications of the
proposed topologies are also presented.
2. Circuit Description
OTRA is a three-terminal device, shown symbolically in
Figure 1 and its port relations can be characterized by the
following matrix:
⎡
⎢
⎢
⎢
⎣
V
p
V
n
V
O
⎤
⎥
⎥
⎥
⎦
=
⎡
⎢
⎣
0 0 0
0 0 0
R
m
-R
m
0
⎤
⎥
⎦
⎡
⎢
⎢
⎢
⎣
I
p
I
n
I
O
⎤
⎥
⎥
⎥
⎦
. (1)
For ideal operations the transresistance gain R
m
approaches
infinity and forces the input currents to be equal. Thus OTRA
must be used in a negative feedback configuration.
The proposed lossless grounded inductor topologies
are shown in Figure 2. Routine analysis of the circuit of