Design of a binary-weighted resistor DAC using
tunable linearized floating-gate CMOS resistors
Erhan
¨
Ozalevli, H¨ useyin Dinc ¸, Haw-Jing Lo, and Paul Hasler
School of Electrical and Computer Engineering
Georgia Institute of Technology, Atlanta, Georgia 30332–0250
Abstract— We present an implementation of a 4 - bit binary-
weighted-resistor DAC to be used in quantizers. It is built by
using tunable floating-gate CMOS resistors, which exploit the
capacitive coupling and voltage storage capabilities of floating-
gate transistors and employ scaled-gate linearization technique
to suppress the MOSFET nonlinearities. The resistance of these
resistors drifts 1.6 · 10
-3
% over the period of 10 years at 25
o
C.
By using these resistors, 15 - bit accurate DAC is implemented
in 0.5μm CMOS process.
I. I NTRODUCTION
In multi-bit-per-stage pipelined and sub-ranging converters
as well as in oversampling converters, multi-bit quantizers can
be successfully employed to improve the overall performance.
In pipelined ADCs, the use of multi-bit quantizers decreases
the number of stages and reduces the conversion latency.
Also, interstage analog signal processing performance can be
optimized depending on the accuracy of the sub-stages. Proper
selection of stage resolution and use of multi-bit quantizers
allow for the optimization of silicon area, power consumption,
and conversion speed for resolutions higher than 10 bits [1].
Similarly, multi-bit quantizers are important in building
oversampling converters. When designing a converter with
a high dynamic range for the low-voltage and low-power
applications, the signal swing at the integrator output needs
to be lowered, and this requirement can be readily met by
employing multi-bit quantizers. Also, increasing the number
of bits of the internal quantizer in ΔΣ modulators enables
for the reduction of the quantization noise by 6dB for each
additional bit, and improves the stability of the higher order
ΔΣ modulators [2] [3].
A quantizer can be easily built by using a binary-weighted
resistor DAC structure. Although this kind of DAC structure
can be fast and insensitive to parasitics, it is susceptible to
resistor mismatches, which can substantially alter the linearity
performance of the converter. Passive resistors in CMOS tech-
nologies are typically implemented by utilizing polysilicon,
diffusion or well strips. These resistors exhibit around ±0.1%
matching accuracy and ±30% tolerance due to device-to-
device and lot-to-lot variations in semiconductor fabrication
processes [4]. Thin film resistors typically have much better
matching accuracy and temperature coefficients, but they are
not available in the main stream CMOS processes. The device
mismatches and component variations in CMOS processes
are generally minimized by employing calibration methods.
These calibration techniques include trimming and the use of
b
3
V
out
V
c
b
2
b
1
b
0
R
c
R
f
R
0
R
1
R
2
R
3
V
ref
Fig. 1. Proposed implementation of a binary-weighted DAC using tunable
resistors. R
i
is the tunable resistor, where i =0, 1, 2, 3. Also, R
f
is the
feedback resistor, and Rc is used to obtain the full output voltage range and
to tune the offset of the DAC. Vc is set to supply rail of the DAC.
programmable binary-weighted array. Component trimming is
achieved during the test phase of the production by using laser
technology. The programming method is used to choose the
desired array of elements by blowing fuses. These methods are
irreversible and introduce problems over time due to aging,
stress, and temperature.
In this paper, we propose a design of a linearized tunable
floating-gate CMOS resistor to be incorporated into binary-
weighted resistor DAC. This tunable resistor is implemented
in a standard CMOS process and provides high resolution
and precise device calibration through the use of floating-
gate transistors. In contrast to previously reported floating-gate
CMOS resistors [5], [6], this resistor has a simple structure
and provides a high degree of design flexibility in optimizing
the overall area and the tuning range of the resistance. In the
next section, we describe the design and implementation of the
binary-weighted resistor DAC. After that we explain the design
and implementation of the tunable linear floating-gate resistor
(FGR), and analyze its temperature dependence. Subsequently,
we present the experimental results of these circuits.
II. DESIGN AND IMPLEMENTATION OF RESISTIVE DAC
The binary-weighted resistor DAC structure is depicted in
Figure 1. Variable resistors are used to obtain the scaled
currents and full output voltage swing at the DAC output.
The input resistors, R
i
, switch between ground and voltage
reference, V
ref
, and generate the scaled currents. Also, V
c
and R
c
are used to obtain a larger output voltage range by
creating an offset current. In addition, due to tunability of
these resistors, R
c
enables to tune the offset of the DAC.
IEEE 2006 Custom Intergrated Circuits Conference (CICC)
1-4244-0076-7/06/$20.00 ©2006 IEEE 149 8-2-1