International Review of Electrical Engineering (I.R.E.E.), Vol. 5, N. 2
March-April 2010
Manuscript received and revised March 2010, accepted April 2010 Copyright © 2010 Praise Worthy Prize S.r.l. - All rights reserved
803
A 1.2V High Band-Width Analog Multiplier in 0.18µm
CMOS Technology
Amir Ebrahimi
1
, Hossein Miar Naimi
2
Abstract ア Analog multiplier is an important building block for many analog computational
applications. In this paper, a new compact, low power structure and low voltage CMOS analog
multiplier is proposed. The proposed structure incorporates a cross-coupled squarer circuit. The
most important features of this topology are low power consumption and high band-width that
makes it suitable for use in high frequency applications. All of these are implemented using a
compact circuit. The circuit is designed and analyzed in 0.18µm CMOS process model and the key
features like bandwidth and THD are extracted. Simulation results for the circuit with a 1.2V
single supply show a very low power consumption and better band-width with respect to
comparable structures. Copyright © 2010 Praise Worthy Prize S.r.l. - All rights reserved.
Keywords: CMOS Analog Multiplier, Four Quadrant, Cross-Coupled Squarer Circuit
Nomenclature
B Input DC bias voltage.
C
OX
MOS gate oxide capacitance per unit area.
C
DBn
Drain-to-bulk capacitor in NMOS
transistors.
C
GDn
Gate-to-drain capacitor in NMOS
transistors.
C
GSn
Gate-to-source capacitor in NMOS
transistors.
C
SBn
Source-to-bulk capacitor in NMOS
transistors.
C
DBp
Drain-to-bulk capacitor in PMOS transistors.
C
GSp
Gate-to-source capacitor in PMOS transistors.
K Trans-conductance parameter of MOS
transistor.
K
n
NMOS trans-conductance parameter.
K
P
PMOS trans-conductance parameter.
L Channel length of MOS transistor.
R
sx(n)
NMOS velocity saturation resistor.
R
sx(p)
PMOS velocity saturation resistor.
V
DD
Supply voltage.
V
GS
MOS gate-to-source voltage.
V
SB
MOS source-to-bulk voltage.
V
t
MOS threshold voltage.
V
T0
MOS threshold voltage in zero bias
condition.
V
Tn
NMOS threshold voltage.
V
TP
PMOS threshold voltage.
W MOS channel width.
MOS body effect coefficient.
, Mismatch terms for threshold voltage of
transistors.
MOS velocity saturation parameter.
(10
-7
/tox)V
-1
I. Introduction
Todays by the advances in communication and signal
processing systems, power consumption, power supply
and bandwidth become critical problems in circuit
design. Analog multipliers are important building blocks
for analog signal processing applications such as
modulation, oscillators, phase frequency detection, fuzzy
integrated systems[1]-[9].The multiplier performs a
linear product of continuous signals x and y yielding an
output z Kxy in which K is a constant with suitable
dimension[1]. Different structures for optimizing
different features have been proposed for analog
multipliers. Some of these features are: operating speed,
power consumption, supply voltage, bandwidth and etc.
As we know, there are many tradeoffs between different
performance features; enhancing one degrades some
others. The previous topologies for multipliers have
different approaches in implementation. One of these
approaches is using transistors in triode region [1], [8].
The circuit of [1] suffers from nonlinearity. The main
drawback of [8] is the large number of transistors in the
implemented circuit. The dominant approach is using
transistors in saturation especially for wideband
applications [3]. As another classification, multipliers
may be implemented in current mode or voltage mode. In
[4] a current mode multiplier is proposed for high speed
applications in which for each multiplicand, say x, the
circuit needs an additional input of 2x. Building precise
2x is not always possible, so this makes the circuit more
complicated and inserts additional error. In [3] and [5]
two voltage mode multipliers are proposed and as a
drawback both need two different power supply. Using
flipped voltage followers, some proposed circuits
minimized the power supply [3], [7].