TESTING HIGH RESOLUTION ADCS USING
DETERMINISTIC DYNAMIC ELEMENT MATCHING
Beatriz Olleta, Hanjun Jiang, Degang Chen and Randall Geiger
Department of Electrical and Computer Engineering
Iowa State University
Ames, IA 50011, USA
ABSTRACT
Dynamic element matching (DEM) is an effective approach to
achieving good average performance in the presence of major
mismatch in matching-critical circuits. This paper presents a
deterministic DEM (DDEM) strategy for ADC testing that offers
substantial reductions in testing cost. The approach is
mathematically formulated and validated with simulation results
that show the number of test vectors needed is comparable to
what are currently used with standard code density linearity
testing. It is demonstrated that the DDEM method can be used
to accurately test ADCs with linearity that far exceeds that of the
DAC used as a signal generator. This technique offers potential
for use in both production test and BIST environments where
high linearity devices are difficult to test and characterize.
1. INTRODUCTION
Analog-to-Digital Converters (ADCs) are recognized as the
world’s largest volume mixed-signal circuit [1]. With the
increasing complexity of mixed-signal circuits and the
emergence of low-cost mixed-signal IC market, testing of analog
and mixed-signal circuits in general and ADCs in particular has
become a challenging and costly process [2].
Built-in-self-test (BIST) structures offer potential
solutions not only in terms of reduction of costs, but also in
terms of its ability to test deeply embedded systems on a chip
(SOCs) [3]. There have been many attempts in providing BIST
solutions for ADCs, but most existing approaches in the
literature have been aimed at duplicating a standard tester on
chip [4] [5] which has better performance than the device under
test (DUT). This becomes a significant challenge since such
high performance signal generators require more design effort
and more silicon area than the ADC to be tested.
The DEM method has been used by many researchers
to improve the performance of DACs [6-10]. Most researchers
use these DACs on Delta-Sigma converters when high linearity
is required.
Although there have been concerns about using DEM
to create “effectively linear” devices since the actual nonlinearity
in the signal path is not removed, we believe the “averaged
linearity” provided by DEM can be exploited to generate
“effectively linear” stimulus signals for ADC testing. This
approach allows the signal generator to be realized with a not-so-
accurate DAC, hence eliminating the need of large silicon area
and reducing the cost of the test signal generator. In a
preliminary study, a test strategy was introduced to use random
DEM in a highly-nonlinear DAC to test low-resolution ADCs
[11]. A new DDEM testing technique was also introduced and
compared with the random DEM testing approach when a low
accuracy DAC is used to characterize/test an ADC with higher
linearity in [12]. In this work the DDEM algorithm is explained
in detail with mathematical proof of its behavior. Also
simulations for high resolution ADC characterization using
DDEM are shown in this work.
This paper is organized as follows. Details are
presented in Section 2 about both the DDEM implementation,
along with mathematical derivation and algorithm description. In
Section 3 simulation results for high resolution ADCs are shown
and discussed. Section 4 summarizes this work.
2. DDEM METHOD FOR THERMOMETER
CODED DACS
A current steering DAC can be thermometer coded, binary coded
or their combination. To get started, the DDEM method was
applied to a thermometer coded DAC. Suppose the DAC has n-
bit resolution, then it has 2
n
-1 current source elements. The DAC
structure is shown in Figure 1.
1
2 3 4 5 6 7
1
2 3 4 5 6 7
1
2 3 4 5 6 7
Figure 1: A 3-bit current mode thermometer-coded DAC
The deterministic method deterministically picks the
current sources to be switched on. The pattern used attempts to
distribute the sources to be switched on in a way that all sources
are used almost uniformly. As explained in [11] and [12], p
represents the number of samples to be generated for each DAC
input word.
The following deterministic DEM switching scheme
(Cyclic Switching Sequence) was applied to the DAC current
sources:
1. All current sources are arranged conceptually along a circle
so we can visualize the wrapping effect (physical layout of
the current sources can be a rectangular array). p starting
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