State-of-the-Art Pipeline A/D Converter Survey and
Analysis Tanvir Hussain
1, MD. Ghulam Zakir
2, Md. Rafiqul Islam Sheikh
3
1,2,3Dept. of Electrical and Electronic Engineering, Rajshahi University of Engineering & Technology (RUET)
Rajshahi 6204, Bangladesh [email protected], [email protected], [email protected]
Abstract- This paper surveys and analyzes state-of-the-art
pipeline A/D Converter reported in IEEE from 1987 to June
2011, including performance comparison of these converters on
the ground of Resolution, Sampling Rate, Power, Spurious Free
Dynamic Range (SFDR), and Signal to Noise plus Distortion
Ratio (SNDR)/ Signal to Noise and Distortion Ratio (SINAD).
Technological and architectural progress brings low power, low
voltage high sampling rate pipeline A/D converter though the
resolution being constant over the period. We found that power
consumption of pipeline A/D converter decreased
1.62mW/month, sampling frequency increased 360
KHz/month, improvement of SFDR is approximately stagnant,
and SNDR decreased 0.127dB/month over the time.
Keywords- Analog to digital converter, resolution, SNDR, SINAD,
SFDR, Sampling rate.
I. INTRODUCTION
The analog world meets digital processing at the Analog
to Digital Converter (A/D Converter); where continuous time
and continuous amplitude analog signals are being converted
to discrete time (sampled) and discrete amplitude (quantized)
signal i.e. the ADC acts as a bridge between the analog and
the digital world. In today’s integrated mixed signal circuit
design, it is one of the most prominent and widely used mixed
signal circuits.
Since the commencement of digital circuit, various
methods for converting the analog signal to digital signal has
been devised, and still today those are the basic foundation for
A/D conversion technique. There are so many different types
of architecture for A/D conversion to mention but a few of
them has superseded all; namely Flash ADC (in early 1960s
time it was mostly known as parallel ADC), SAR ADC,
Folding ADC, Sigma Delta ADC, Pipeline ADC, and Sub-
ranging ADC.
The pipeline ADC has its own origin in the sub-ranging
architecture first used in the 1950s. All pipeline ADC can be
considered as sub-ranging ADC but the reverse is not true.
Pipeline ADC is one of the most popular architecture for A/D
converter finds its application in the medium resolution (10-14
bit) high speed (typically several hundred MS/s), medium
power application. Recently by using time-interleaved
Pipeline architecture 12-16 bit Several GS/s A/D converter
has been reported [1]-[3].
Though the pipelining can be used for various types of
A/D converter architectures, the term “pipeline A/D
converter” is hereafter defined to be an A/D converter
consisting of multiple identical stages operated in pipeline
fashion. There is no single criterion to compare between
different pipeline converters, though Figure of Merit (FOM)
takes into account of power, ENOB, and sampling frequency;
but SFDR, CMOS die area, INL, and DNL is left out of this
equation. In this paper state-of-the-art pipeline A/D converter
performance has been analyzed considering about 205 IEEE
paper on pipeline A/D converter reported in IEEE xplore
digital library from 1987 to June 2011.
II. A/D CONVERTER CHARACTERIZAION
For a long time the main performance analysis criterion
for Pipeline A/D converter is its Resolution, Sampling rate,
and FOM. The international Technology Roadmap for
Semiconductor (ITRS) published the following requirement
for A/D converter in 2011 [4] shown in Fig. 1.
Fig. 1 Recent ADC Performance Needs for Important Product Classes
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978-1-4673-1154-0/12/$31.00 ©2012 IEEE ICIEV 2012
For a long time, pipeline A/D converter has been used for
mid resolution (8 – 16 bit) and high speed (10MHz –
400MHz) application. From Fig. 1 it can be seen that pipeline
A/D converter is the main candidate for video, cell phones,
mobile base station, wireless LAN, inter-connectivity, UWB
etc. IEEE standard 1241-2000 [5] tabulated some critical A/D
converter parameter. According to the need of pipeline A/D
converter application range, some parameter are reproduced
below in Table I.
TABLE I
CRITICAL A/D CONVERTER PARAMETER
Critical
Applications
Critical A/D
converter
Parameter
Performance Issues
Video DNL, SFDR,
SINAD, DG, DP
Differential gain and
phase errors,
Frequency response.
Telecommunication
personal
communications
SINAD, NPR,
SFDR, IMD
Bit error rate
Word error rate
Wide input bandwidth
channel bank. Inter-
channel crosstalk.
Compression. Power
consumption.
Wideband digital
receivers SIGINT,
ELINT, COMINT
SFDR, IMD
SINAD
Linear dynamic range
for detection of low-
level signals in a
strong interference
environment.
Sampling frequency.
A. Resolution and Sampling Frequency
Resolution and sampling frequency is the main
performance criterion for any A/D converter. Various
application requires specific resolution and sampling
frequency requirement to be fulfilled. Analog circuit designer
is developing newer and newer circuit design method to
increase its sampling frequency and resolution.
B. Effective Number of Bit (ENOB)
Aside from the Resolution of an A/D converter, ENOB is
also an important parameter for performance evaluation of the
converter which shows the effect of SNDR over resolution of
the A/D converter. ENOB is always being calculated using the
following formulae (1),
���� = ���� − 1.766.02 (1)
C. Spurious Free Dynamic Range (SFDR)
In all but especially in communication application SFDR
is the most significant specification for an A/D converter.
SFDR is used to show the A/D Converter usable dynamic
range beyond which special detection and threshold problems
occur during spectral analysis. IEEE standard 1241-2000 [5]
defines SFDR as (2),
������ = 20����� � |��� (!")|#$%!&' ∩ !)*+��� *!&',+ ∪ +��� *!&',+,.
(2)
Here, ��� (!") is the averaged magnitude spectral component
at discrete frequency !" after a DFT. In General SFDR is a
function of Amplitude of input signal ��� (!/), input signal
frequency !/, sampling frequency !&, and input noise.
D. Signal to Noise plus Distortion Ratio (SNDR)
The signal to noise plus distortion ratio (SNDR) (also
Signal to Noise and Distortion Ratio) is the ratio of the signal
to the total noise. All the paper we have analyzed use the term
SINAD or Signal to noise plus Distortion Ratio (SNDR)
interchangeably. This SNDR includes quantization error,
harmonic and inter-modulation distortion, spurious distortion,
thermal noise, random noise, aperture uncertainty and
comparator ambiguity. If 01 is the sample data set and 01′ is
the data set of the best-fit sine wave then noise for an given
A/D converter is defined by the following equation (3) [5],
�2� ��345 = 67 12 8(01 − 01′ )9:1;� < (3)
Then SNDR can be defined as (4),
���� = �2� �3�>$��2� ��345 (4)
It is always true that a lower SNDR value means worse
performance of the A/D converter.
E. Figure of Merit (FOM)
The International Technology Roadmap for
Semiconductor (ITRS) and IEEE uses completely reverse
notation for Figure of Merit retaining the individual term same
in calculating FOM. The analog Program committee of the
IEEE International Solid-State Circuit Conference suggested a
Figure of Merit for A/D converter [6] which is given by the
following equation (5),
��2@AAA = B2C × �& (5)
ITRS gives the definition of FOM by the following
mathematical expression (6),
��2@FGH = 2ACI� × #3>(J!&K, J2 × ���MK)B (6)
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477 ICIEV 2012
Fig. 2 Comparison of speed trends: ADCs versus digital
Fig. 3 Comparison of energy efficiency trends: ADCs versus digital
In this work to calculate the FOM, IEEE mathematical
expression has been used (5).
III. PERFORMANCE ANALYSIS
Since the commencement of pipeline A/D converter,
various design for this converter has been proposed such as
full flash A/D converter, SAR assisted converter, the Time
Interleaved (TI) converter etc. Authors are proposing and
implementing newer and newer circuit design concept
methods in order to reduce power consumption,
sampling rate, to improve the dynamic and static performance
of this mixed signal component. Boser et al. in their book [
compared the advancements in digital circuits to the
improvement of ADCs performance shown in Fig.
Microprocessors benefited from the raw improvement
technology speed, aggressively increasing parallelism
device scaling keeping forward the moore’s law [
semiconductor technology improvement roadmap. The
resulting steep progress rate of performance doubling every
1.5 years has created a performance gap of 150x
digital computing power and A/D Converter speed. The
situation for energy efficiency is also similar [
Fig. 3. At the time of writing of this paper, we were unable to
Comparison of speed trends: ADCs versus digital
Comparison of energy efficiency trends: ADCs versus digital
Fig. 4 Pipeline A/D converter Resolution Distribution
5b
2%
6b
2%
11b
2%
12b
19%
13b
3%
14b
11%
15b
4%
16b
5%
Others
5%
he FOM, IEEE mathematical
NALYSIS
Since the commencement of pipeline A/D converter,
various design for this converter has been proposed such as,
full flash A/D converter, SAR assisted converter, the Time
nterleaved (TI) converter etc. Authors are proposing and
implementing newer and newer circuit design concept, newer
methods in order to reduce power consumption, to increase
rove the dynamic and static performance
of this mixed signal component. Boser et al. in their book [7]
compared the advancements in digital circuits to the
improvement of ADCs performance shown in Fig. 2.
from the raw improvement in
increasing parallelism, and
device scaling keeping forward the moore’s law [8] as the
semiconductor technology improvement roadmap. The
resulting steep progress rate of performance doubling every
rformance gap of 150x between
and A/D Converter speed. The
situation for energy efficiency is also similar [7] as shown in
At the time of writing of this paper, we were unable to
collect sufficient authorative data to extend
and Fig.3 upto year 2011. However, it is obvious from the
curve that at present the speed difference between
converter and digital circuit is far more greater than year 2003
which can be justified by moor's law [8
this paper’s analysis is based on has been tabulated in Table
II.
A. Resolution
The first factor comes forward in performance
comparison of any A/D converter is its Resolution. Analyzing
the data for pipeline A/D converter it has been seen that 33%
converter is 10bit, 19% is 12 bit converter, 11% is 14bit
converter, 11% is 8bit converter of the total Pipeline A/D
converter designed from 1987 to June,
chart Fig. 4.
In Fig. 5 Bit vs. Month of the pipeline converter has been
plotted. It is evident from the plot that over the last 23 years
the resolution improvement of the converter is quite stagnant
Fig. 5 Plot of Bit vs. Month from 1987 to June 2011
4 Pipeline A/D converter Resolution Distribution
6b
2%
8b
11% 9b
3%
10b
33%
nt authorative data to extend the curve of Fig.2
to year 2011. However, it is obvious from the
the speed difference between A/D
is far more greater than year 2003
8]. The data upon which
has been tabulated in Table
The first factor comes forward in performance
comparison of any A/D converter is its Resolution. Analyzing
the data for pipeline A/D converter it has been seen that 33%
converter is 10bit, 19% is 12 bit converter, 11% is 14bit
converter, 11% is 8bit converter of the total Pipeline A/D
converter designed from 1987 to June, 2011 as shown in pie
5 Bit vs. Month of the pipeline converter has been
plotted. It is evident from the plot that over the last 23 years
the resolution improvement of the converter is quite stagnant
Plot of Bit vs. Month from 1987 to June 2011
IEEE/OSA/IAPR International Conference on Informatics, Electronics & Vision
478 ICIEV 2012
Fig. 6 Plot of Power vs. Month from 1987 to June 2011
Fig. 7 Plot of SFDR vs. Month from 1987 to June 2011
20
40
60
80
100
120
SFDR
Analysis of fit "SFDR VS MONTH"
0 12 24 36 48 60 72 84 96 108 120 132 144 156 168 180 192 204 216-1
-0.5
0
0.5
1
1.5
1st deriv
which can be seen from the first derivate of the B
Curve. From Fig. 4 it can be deduced that pipeline converter is
best candidate for those application where 10 bit to 14bit
resolution is required.
B. Power
In Fig. 6 Power vs. Month for pipeline A/D converter
has been plotted. From the tangent of this decreasing trend
curve it has been found that the power of this converter
decreased 1.62mW/month.
C. Spurious Free Dynamic Range (SFDR)
In Fig. 7 SFDR vs. month for pipeline A/D converter has
been plotted. From the tangent of this curve it has been found
that the improvement of the SFDR over time is approximately
constant.
D. Signal to Noise plus Distortion Ratio (SNDR)
In Fig. 8 SNDR vs. month for pipeline A/D converter has
been plotted. From the tangent of this decreasing
it has been found that the SNDR decreased 0.127dB/month
Plot of Power vs. Month from 1987 to June 2011
Plot of SFDR vs. Month from 1987 to June 2011
SFDR VS MONTH
SFDR vs. Month
228 240 252 264 276 288 300
Fig. 8 Plot of SNDR vs. Month from 1987 to June 2011
Fig. 9 Plot of Sampling rate for 10 bit vs. Month from 1987 to June 2011
which can be seen from the first derivate of the Bit vs. Month
pipeline converter is
best candidate for those application where 10 bit to 14bit
6 Power vs. Month for pipeline A/D converter
has been plotted. From the tangent of this decreasing trend
curve it has been found that the power of this converter
SFDR vs. month for pipeline A/D converter has
been plotted. From the tangent of this curve it has been found
that the improvement of the SFDR over time is approximately
Distortion Ratio (SNDR)
SNDR vs. month for pipeline A/D converter has
decreasing trend curve
0.127dB/month.
E. Sampling Frequency
In Fig. 9 Sampling frequency for 10bit vs. Month of
pipeline A/D converter has been plotted. From the tangent of
this increasing trend curve it has been found that the sampling
frequency for 10 bit pipeline converter increase
KHz/month.
IV. CONCLUSION
Survey and Analysis of pipeline A/D converter has been
carried out on the basis of resolution, sampli
power, SFDR, SNDR. In last 23 years 33% pipeline converter
has been designed in 10 bit resolution, 19% in 12bit, 11% for
both in 8 bit and 14 bit resolution. It has been found that
power consumption of pipeline A/D converter decrease
1.62mW/month, and sampling frequency i
KHz/month. Improvement of SFDR is approximately stagnant
and SINAD decreased 0.127dB/month.
Plot of SNDR vs. Month from 1987 to June 2011
Sampling rate for 10 bit vs. Month from 1987 to June 2011
Sampling frequency for 10bit vs. Month of
pipeline A/D converter has been plotted. From the tangent of
this increasing trend curve it has been found that the sampling
pipeline converter increased 360
ONCLUSION
Survey and Analysis of pipeline A/D converter has been
carried out on the basis of resolution, sampling frequency,
. In last 23 years 33% pipeline converter
has been designed in 10 bit resolution, 19% in 12bit, 11% for
8 bit and 14 bit resolution. It has been found that
power consumption of pipeline A/D converter decreased
quency increased 360
mprovement of SFDR is approximately stagnant
0.127dB/month. This point is also to be
IEEE/OSA/IAPR International Conference on Informatics, Electronics & Vision
479 ICIEV 2012
noted that, we found considering more than 200 papers and
books written on Pipeline A/D converter by approximately
580 authors that, among all these authers there is only one
Female author named Susanne A. Paul [9].
REFERENCES
[1] Payne, R.; Sestok, C.; Bright, W.; El-Chammas, M.; Corsi, M.; Smith,
D.; Tal, N.; , "A 12b 1GS/s SiGe BiCMOS two-way time-interleaved
pipeline ADC," Solid-State Circuits Conference Digest of Technical
Papers (ISSCC), 2011 IEEE International , vol., no., pp.182-184, 20-24
Feb. 2011
[2] Mulder, J.; van der Goes, F.M.L.; Vecchi, D.; Westra, J.R.; Ayranci, E.;
Ward, C.M.; Jiansong Wan; Bult, K.; , "An 800MS/s dual-residue
pipeline ADC in 40nm CMOS," Solid-State Circuits Conference Digest
of Technical Papers (ISSCC), 2011 IEEE International , vol., no.,
pp.184-186, 20-24 Feb. 2011
[3] Sundstrom, T.; Svensson, C.; Alvandpour, A.; , "A 2.4 GS/s, Single-
Channel, 31.3 dB SNDR at Nyquist, Pipeline ADC in 65 nm CMOS,"
TABLE II
DATA of PIPELINE A/D CONVERTER Here, data of papers published from 2007 to 2011 are included only due to
page constraint. Data was collected from IEEE xplore digital Library* 2007
Date R SF P SFDR SNDR Ref/DOI
7 400 108 40 [17]
6-9 Feb 10 50 18 82 56.9 10.1109/ISSCC.2006.1696119
20 Feb 10 100 30 70 54 [18]
20 Feb 8 100 30 52.6 45 [19]
20 Feb 12 75 273 65.6 [20]
Mar. 13 40 268 80 10.84 [33]
Apr. 10 100 33 71.5 55 [34]
27-30 May 10 30 36.8 66.1 58.5 [35]
May 11 0.1 0.385 [36]
27-30 May 8 300 40 58 45.5 10.1109/ISCAS.2007.378583
27-30 May 8 150 20 59 47 10.1109/ISCAS.2007.378361
14-16 June 8 22 2.5 80 49 10.1109/VLSIC.2007.4342711
14-16 June 14 30 102 82.8 70.7 10.1109/VLSIC.2007.4342712
5-8 Aug. 14 50 10.1109/MWSCAS.2007.4488556
16 Sep. 10 100 19.2 69 56 10.1109/CICC.2007.4405709
26 Oct. – 3
Nov.
12 25 35 10.1109/NSSMIC.2007.443666
0
30 Oct. – 2
Nov.
5 1000 63 31 10.1109/TENCON.2007.44288
97
Dec. 10 205 40 55 10.1109/JSSC.2007.908760
Dec. 8 200 8.5 10.1109/JSSC.2007.908770
2008
10 210 52 74 55 10.1109/SOCC.2007.4545415
3-7 Feb. 10 100 4.5 59 10.1109/ISSCC.2008.4523151
Feb. 10 30 22 65 57 10.1109/JSSC.2007.914253
Feb. 15 20 285 98 73 10.1109/JSSC.2007.914260
Apr. 8 10 2.4 57.2 48.1 10.1109/JSSC.2008.917470
Apr. 240 89 10.1109/JSSC.2011.2143811
18-21 May 6 1000 20 47 34 10.1109/ISCAS.2008.4541903
22-24 May 8 12.8 10.1109/ISMVL.2008.25
18-20 June 14 100 250 91 73 10.1109/VLSIC.2008.4585957
18-20 June 13 250 140 65.9 10.1109/VLSIC.2008.4586015
July 10 50 27 60.5 52.2 10.1109/JSSC.2008.923727
11-13 Sep. 11 45 81 70 48.9 10.1109/ESSCIRC.2007.4430267
21-24 Sep. 11 16 50 66 56 10.1109/CICC.2009.5280858
21-24 Sep. 15 30 123 86.5 75 10.1109/CICC.2008.4672034
2009
23-Jan. 8 250 108 57.5
4
[21]
8-12 Feb. 16 125 385 96 78.6 [22]
Mar 10 50 12 72.8 56.2
Apr. 9.4 50 1.44 100 49.2 [23]
Date R
SF
P
SFDR SNDR Ref/DOI
24-27 May 10 140 65 55
24-27 May 10 50 23 70.8 38.3
16-18 June 10 80 11.2 70 53.8 [24]
2-5 Aug. 12 0.05 0.06 [25]
Sep. 11 80 36 10.1109/JSSC.2009.2025408
13-16 Sep. 80 10 10.1109/4.62176
Oct. 12 20 231 80.3 70.2 10.1109/JSSC.2009.2028756
Oct. 8 22 2.5 36 10.1109/JSSC.2009.2028052
Nov. 6 1000 49 40.7 33.7 10.1109/JSSC.2009.2032258
16-18 Nov. 10 100 6 75 58 10.1109/JSSC.2010.2063590
Dec. 12 50 4.5 73 66 10.1109/JSSC.2009.2032639
Dec. 100 130 88 69 10.1109/JSSC.2009.2032637
13-16 Dec. 16 0.00
1
0.15 87 10.1109/ICECS.2009.5410796
14-16 Dec. 9 50 12 58 53 INSPEC Accession No.: 11105405
2010
Feb. 10 40 1.21 71.5 55.1 [26]
Feb. 10 42 11.1 67.5 55.6 [27]
13-14 Mar. 12 50 55 75.3 69.3 [28]
Apr. 80 94 75.4 [39]
May 10 50 9.9 66 58.2 [30]
May 30 - Jun
2
10 300 77 65.7 55.1 [31]
May 30 – Jun
2
10 1600 430 57.67 54.3 [32]
16-18 June 12 50 3.5 78 66 10.1109/VLSIC.2010.5560243
5-7 July 8 50 22 40 10.1109/ISVLSI.2010.27
Aug. 9 90 13.5 63.4 51.8 10.1109/TCSII.2010.2050937
24-26 Aug. 10 50 36 54 10.1109/CMCE.2010.5609932
19-22 Sep. 10 204 9.15 63 55 10.1109/CICC.2010.5617457
22-24 Sep. 12 40 65 56 10.1109/PRIMEASIA.2010.5604945
Oct. 6 2200 2.6 31.6 10.1109/JSSC.2010.2061611
1-4 Nov. 12 5 30.4 53 10.1109/ICSICT.2010.5667703
1-4 Nov. 3 4000 44.7 27.74 10.1109/ICSICT.2010.5667682
12-15 Dec. 9 1 .012
6
53 10.1109/ICECS.2010.5724652
Dec. 18 12.5 105 104
Dec. 16 160 1600 90 10.1109/JSSC.2010.2074650
Dec. 16 250 850 100 76.5 10.1109/JSSC.2010.2073194
2011
20-24 Feb. 12 1000 575 76 62 [10]
20-24 Feb. 16 80 100 81 69 [11]
20-24 Feb. 12 800 105 59 [12]
Apr. 12 50 3.5 78 66 [13]
June 10 40 1.21 71.5 55.1 [14]
June 10 100 4.5 62.3 55 [15]
July 2400 218 50.5 30.1 [16]
*R – Resolution(bit), SF – Sampling Frequency (MS/s), P – Power
(mW), Ref – Reference, SFDR – Spurious Free Dynamic Range,
SNDR – Signal to Noise plus Distortion Ratio. DOI – Digital
Object Identifier.
IEEE/OSA/IAPR International Conference on Informatics, Electronics & Vision
480 ICIEV 2012
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pipeline ADC in 40nm CMOS," Solid-State Circuits Conference Digest of
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Channel, 31.3 dB SNDR at Nyquist, Pipeline ADC in 65 nm CMOS," Solid-
State Circuits, IEEE Journal of , vol.46, no.7, pp.1575-1584, July 2011
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