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Received February 17, 2021, accepted February 18, 2021, date of publication February 22, 2021, date of current version March 2, 2021.
Digital Object Identifier 10.1109/ACCESS.2021.3060939
Voltage-Mode Elliptic Band-Pass Filter Based on
Multiple-Input Transconductor
PIPAT PROMMEE 1, (Senior Member, IEEE), KHUNANON KARAWANICH1,
FABIAN KHATEB 2,3, AND TOMASZ KULEJ 4
1Department of Telecommunications Engineering, School of Engineering, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, Thailand
2Department of Microelectronics, Brno University of Technology, 60190 Brno, Czech Republic
3Faculty of Biomedical Engineering, Czech Technical University in Prague, 16636 Kladno, Czech Republic
4Department of Electrical Engineering, Technical University of Czestochowa, 42-201 Częstochowa, Poland
Corresponding author: Pipat Prommee (pipat.pr@kmitl.ac.th)
This work was supported by the School of Engineering, King Mongkut’s Institute of Technology Ladkrabang.
ABSTRACT This paper presents a new voltage-mode elliptic band-pass filter based on a multiple-input
transconductor (MI-OTA). The MI-OTA’s structure employs the multiple-input MOS transistor technique
that simply enables to increase the number of OTA’s inputs without increasing the number of current
branches or the differential pairs. The MI-OTA features high linearity over a wide input range with a compact
and simple CMOS structure. From the advantage of multiple inputs, it enables to construct the arbitrarily
summing and subtracting under the proposed voltage-mode filter design procedure. The filter is designed
and simulated in Cadence environment using 0.18 µm TSMC CMOS technology. The filter offers 72.9 dB
dynamic range for 2 % total harmonic distortion (THD) for sine input signal of 0.5 Vpp @ 1kHz with
voltage supply ±0.9V. The simulation results of the filter are in agreement with the RLC prototype. The
experimental results using commercially available IC are also included to confirm the proposed filter that
are in good agreement with the simulation results.
INDEX TERMS Elliptic filter, band-pass filter, transconductor, multiple-input OTA.
I. INTRODUCTION
The elliptic filter is an efficient type of a filtering circuit,
which can find many applications in telecommunication,
medical and other kinds of electronic systems. In the past,
high-order ladder elliptic filters were always realized based
on passive elements. Nowadays, such filters are realized
rather in integrated form. Integrated filters should be electron-
ically tunable to compensate for possible process, tempera-
ture and supply voltage (PVT) variations. Precise operation
can be achieved using switched-capacitor (SC) realization,
however, SC elliptic filters are rather complex, operate in
discrete time and need floating capacitors [1], [2]. In 1992,
Nauta [3] introduced an elliptic LPF using a simple linear
transconductor, adjusted by its supply voltage. This realiza-
tion was less complex than its SC counterparts, but the filter
still required floating capacitors, as well as, precise control-
ling of supply voltage, that increased the overall complexity
and power consumption. Over the next period, researchers
presented elliptic LPFs using dual-output OTAs and the same
The associate editor coordinating the review of this manuscript and
approving it for publication was Yong Chen .
design methods as in previous research [4]–[7]. These filters
were relatively simple, but they still required floating capac-
itors and they could not be tuned [8]. Multiple feedback loop
technique is another way to design active integrated filters [9].
Even though such filters use only grounded capacitors, their
structures are rather complex and difficult to be tuned. There
are also some other methods to design elliptic active filters
in microelectronic technology, based on frequency dependent
negative resistors (FDNR) [10], or combinations of OTAs and
current conveyors [11]–[13], but they still show the disad-
vantages of the structures mentioned previously. The source
follower-based biquad LPF [14], and its modification by
capacitors feedback [15], were introduced but the frequency
response cannot be tuned. The transistorized third-order
LPF relied on RLC ladder prototype was presented but the
electronically tunability cannot be achieved [16]. The two
compact structures of LPF were presented with electronic
tunability feature. The first LPF, floating emulated inductor
and floating capacitors are required [17]. The second LPF,
Chebyshev-II is introduced by adding floating capacitors to
the core filter circuit [18]. The fourth-order LPF based on
two cascaded second-order LPF cells was presented [19]. The
32582 This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see https://creativecommons.org/licenses/by/4.0/ VOLUME 9, 2021
P. Prommee et al.: Voltage-Mode Elliptic BPF Based on Multiple-Input Transconductor
TABLE 1. The comparison of recent Elliptic BPF with proposed Elliptic BPF.
floating capacitors were required and the frequency tunable
had not reported. The second-order BPF using CMOS source
feedback (SFB) was introduced with low-complex structure
but not practically tuned the frequency response [20].
In this work we propose a new approach to design elliptic
band-pass filters (BPF). In order to point out the advantages
of the proposed approach, we compare our circuit with some
previous works in Table 1. The significant advantage of
the proposed approach, compared with other designs, is its
smaller complexity. For example, in SC realizations, an exter-
nal clock signal is required [21]. The OTA-C circuit in [22] is
very complex and needs floating capacitors. In [23] a cascade
of 3 biquad filters based on modified current differencing
transconductance amplifier (MCDTA) and capacitors was
applied. This realization requires a large number of transis-
tors. In addition, the notch filter requires the adjustability of
the current gain, which makes the circuit large, complex, and
cumbersome to tune. Both, V/I and I/V converters are also
required due to the current-mode approach.
In [24], inductor emulators are used with voltage differ-
encing transconductance amplifier (VDTA) (internally con-
sisting of 2 OTAs) to replace passive inductors. The circuit
still uses many floating capacitors and provides no tuning.
In [25] the integrator circuits are designed with signal flow
graphs (SFG). Although the circuit operates at high fre-
quency, it is highly complex due to many biasing current
sources. In addition, both, V/I and I/V converters are required
due to the current-mode operation. The multiple feedback
loop realization in [26] is rather complex, because of a com-
plex realization of the tuning function. The circuit operates
in current-mode as well. The realization in [27] is based on
log-domain integrators and differentiators. It requires a large
number of bias currents and consume high power due to the
bipolar technology used in this design. Similar techniques are
applied with 10 MO-OTAs operated in current-mode [28].
Although this reduces the complexity, the V/I and I/V con-
version circuits are required as well.
This article presents a new solution for an elliptic BPF,
which is less complex than competitive designs. The cir-
cuit is based on multiple-input OTAs (MI-OTA), operating
as integrators or differentiators, and uses only grounded
capacitors. The frequency response can be tuned with regulat-
ing the transconductance of MI-OTA. Relatively low number
of active components was achieved thanks to the use of
the summing function of MI-OTA. The circuit operates in a
voltage-mode.
The paper is organized as follows: Sections 2 describes
the multiple-input transconductance stage. Section 3 presents
the voltage-mode band-pass elliptic filter application.
Section 4 and 5 include the simulation and experimental
results, respectively. Finally, section 6 concludes the paper.
II. THE MULTIPLE-INPUT TRANSCONDUCTANCE STAGE
Voltage-to-current converter known as a transconductor or
OTA is a basic building block for analog signal processing
systems [29]–[31]. One of the effective linearization tech-
niques for this block is the use of a voltage follower (VF),
created by a negative feedback connection, linear resistor (R)
connected to the output of the VF and a current mirror
at the output stage of the VF [34]–[39]. This linearization
technique provides a wide range of transconductance tun-
ing without degrading other parameters like input range and
linearity [34]–[39]. Although this technique had been used
previously in several works, the CMOS structures could be
further improved in order to reduce the count of transistors,
chip area, and power consumption without degrading the
circuit’s performances. The transconductor in [32] offers only
single input that limits its applications. The transconductors
in [33]–[39] offer differential input, however, these CMOS
structures are constructed by two voltage to current (V-I)
conversion units (VF or current conveyor) that increase the
chip area and the total power consumption. The transcon-
ductor in [40] offers differential input with single V-I con-
version unit based on promising structure of differential
difference current conveyor (DDCC). Although this transcon-
ductor use one V-I conversion unit its CMOS structure use
two differential pairs that increase the number of current
branches, power consumption and the chip area. Therefore,
the presented transconductor has a differential input with one
multiple-input V-I conversion unit and one differential pair
(instead of conventional two pairs) by using the multiple-
input MOS transistor technique [41]–[47].
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FIGURE 1. a) The CMOS structure of the multiple-input transconductor, b)
realization of the MI transistor, and c) realization of the RMOS resistor.
The compact and innovative structure of the OTA is shown
in Fig. 1 (a). The structure is based on a two-stage OTA with
a negative feedback connection (NFB) that convey the differ-
ential input voltage (Vid =(V+1+..V+n)−(V−1+..V−n)) to
the output which is connected to a linear resistor (Rset ). This
Rset performs the V-I conversion where IRset =Vid /Rset . The
output current of the linear resistor IRset is copied to the out-
put (o) of the OTA using simple current mirrors (M6-M7and
M12-M13 ). The transconductance value of the transconductor
is then given by [32]:
Gmset =gm
1+gmRset
(1)
where gmis the internal transconductance of the transconduc-
tance. For Rset 1/gm, the transconductance Gmset can be
approximated as follows:
Gmset ≈1Rset (2)
Note, that there are several ways to achieve electric tuning
for this OTA, for example using a resistor divider to split the
resistor current [37], using digitally programmable resistor to
adjust the current attenuation [40] or simply using an MOS
transistor operating in a triode region [32].
The MI-OTA in Fig. 1 (a) has one differential stage M1,
M2, M5, M10, M11 . The differential pair M1, M2is based
on multiple-input technique. The realization of this MI MOS
transistor is shown in Fig. 1 (b) where the input gate ‘‘G’’ of
transistor M is connected to arbitrary n number of inputs by
n number of couples of capacitor CGand a high resistance
MOS resistor RMOS realized by two transistors MRoperating
in a cut-off region as shown in Fig. 1 (c). The first and second
output stages of the OTA is created by M6, M12 and M7, M13,
respectively. The Rset is connected to the first output stage
and set the value of the OTA’s transconductance. The output
current is obtained from the second stage of the OTA. The
capacitor C along with RMOS create a simple class AB output
stage [39]. The compensation capacitor Ccis used to ensure
the stability of the transconductor. The bias current Iband
transistor Mbset the currents of the circuits. Note, that the
multiple-input technique gives a freedom to simply increase
the number of inputs without increasing the number of current
branches or the differential pairs, hence the circuit structure
is kept as simple as possible.
III. THE VOLTAGE-MODE BAND-PASS ELLIPTIC FILTER
APPLICATION
The design of the proposed BPF is based on an LPF RLC pro-
totype shown in Fig. 2. The network transformation method,
and signal flow graph technique are used to form an active
BPF circuit operating in a voltage-mode. Finally, the branches
of SFG are replaced by MI-OTA circuits. The good per-
formances, and the tunability of frequency response can be
achieved with low-complexity structure.
FIGURE 2. RLC elliptic LPF prototype.
According to the network transformation method [48],
the elements of the LPF prototype are replaced with elements
of a BPF prototype as illustrated in Table 2. The transformed
RLC elliptic BPF is shown in Fig. 3.
TABLE 2. Network transformation between LPF and BPF.
FIGURE 3. Transformed RLC elliptic BPF using LPF prototype.
Using KCL in Fig. 3, the currents and voltage relationship
of each designated node or branch can be written as (3)-(12)
Vin −V1
RS
=Iin (3)
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V1=I1
sC1
(4)
I1=(Vin −V1)
RS
−I2−I4−I5−V1
sL1
(5)
V2=V1−V3−I2
sC2
(6)
I2=V2
sL2
(7)
I3=I2+I4+I5−V3
sL3
−V3
RL
(8)
V3=I3
sC3
(9)
I4=V1−V3
sL4
(10)
I5=(V1−V3)sC4(11)
I4+I5=(V1−V3)1
sL4
+sC4(12)
From (3)-(12), the first signal flow graph can be created as
shown in Fig. 4. Some nodes of this graph represent current
variables, while we need voltage variables for a voltage-mode
circuit. Suppose that, the doubly terminated resistors are
equal to each other (RS=RL=R) and the transconductance
of OTA is assumed to be gm=1/R. The current variables
can be transformed into voltage variables by incorporating the
transconductance (gm) in suitable branches, thus achieving
a new graph, with voltage variables only. The new graph is
shown in Fig. 5.
FIGURE 4. First signal flow graph using RLC based elliptic BPF.
FIGURE 5. Voltage-mode signal flow graph of elliptic BPF.
A. OTA-BASED VOLTAGE-MODE MULTIPLE-INPUT
INTEGRATOR
The voltage-mode integrator used in this design is a loss-
less integrator. It can easily be created by using OTA and a
FIGURE 6. OTA-based multiple-input lossless integrator.
FIGURE 7. OTA-based multiple-input lossless integrator.
grounded capacitor as shown in Fig. 6. The output voltage of
the multiple-input lossless integrator can be expressed by:
VO1=
n
X
i=1
(V+i−V−i)gm
sC1
(13)
B. OTA-BASED VOLTAGE-MODE DIFFERENTIATORS
The voltage-mode lossless differentiator used in this design
can be realized in two ways. Type 1 can be realized using
3 OTAs, while Type 2 can be realized using 2 OTAs and a
grounded capacitor, as shown in Fig. 7 (a) and (b), respec-
tively. The output voltage of both circuits can be expressed
as:
VO2=VO3=
n
X
i=1
(V+i−V−i)sC1
gm
(14)
C. REALIZATION OF A VOLTAGE-MODE ELLIPTIC BPF
USING MI-OTA
Using the SFG in Fig. 5, the voltage-mode elliptic BPF can
be realized with the integrators and differentiators discussed
in sections 3.1 and 3.2. The summations and subtractions
can be obtained by using the multiple inputs of OTA, which
simplifies the overall design. Based on the type 1 differen-
tiator, the elliptic BPF can be realized using 10 MI-OTAs and
8 capacitors as shown in Fig.8 (a). From Fig. 8, the maximum
of four inputs (n=4) of MI-OTA are required. Note that,
the unused inputs are grounded. The number of the used
MI-OTAs can be decreased if one of the used MI-OTAs
has dual positive output. Based on the type 2 differentiator,
the elliptic BPF type 2 is realized with 9 MI-OTAs and
8 capacitors as shown in Fig. 8 (b).
IV. SIMULATION RESULTS
The circuit was simulated and designed in Cadence envi-
ronment using 0.18µm TSMC technology. The transistors
aspect ratio in Fig. 1 are: M1, M2=90µm/3µm, M5, M6,
M7=2×90µm /3µm, M10, M11 , Mb=30 µm /3 µm,
M12, M13 =2×30µm /3µm, MR=4µm/5µm. The value of
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FIGURE 8. Multiple OTA-C based elliptic BPF (a) Type 1 (b) Type 2.
FIGURE 9. The transfer characteristic of the MI-OTA for different Rset .
FIGURE 10. The transconductance value versus Vin of the MI-OTA for
different Rset.
capacitors are: Cc, C =2.6 pF, Cin =0.5pF. The bias current
Ib=50 µA and the total power consumption is 630µW for
one-output OTA and 810 µW for two-output OTA.
Figs. 9 and 10 show the transfer characteristic and the
transconductance value versus Vin of the MI-OTA for differ-
ent Rset (15k, 20 k, 25 k, 30 k). The MI-OTA shows
good tunability and linearity in the range of −0.5 to 0.5V. The
FIGURE 11. The transconductance value of the simulated and ideal OTA
versus Rset.
FIGURE 12. The Monte Carlo analysis of the transfer characteristic of the
MI-OTA for Rset =15k.
FIGURE 13. The PVT corner analysis of the of the transfer characteristic of
the MI-OTA for Rset =15k.
FIGURE 14. The frequency characteristics for the filters and RLC.
relation of the simulated and ideal transconductance versus
Rset is shown in Fig. 11, where the curves match for lower
value of Rset .
The Monte Carlo (MC) analysis with 200 runs and
the process, voltage, temperature corners are shown in
Figs. 12 and 13, respectively. The process corner for the MOS
transistor are (ss, sf, fs, ff), for capacitors (fast, slow), for
voltage supply (VDD = −VSS =890mV, 910mV), for
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FIGURE 15. The tunability of the 2 types filters for different Rset .
FIGURE 16. The transient characteristic of the filters with input sine wave
of 300mVpp @1 kHz.
FIGURE 17. The THD versus peak-to-peak input signal @ 1 kHz.
temperature (−10◦C, 70◦C). As it is shown, the deviation is
in acceptable range.
Using the values of passive elements as in Table 3, the fre-
quency characteristics of the proposed BPF filter and its RLC
prototype are shown in Fig. 14. For Type 1 the bandwidth
(BW)=844.2Hz, mid band gain = −0.605dB, for Type 2 the
BW=845.2Hz, mid band gain = −0.605dB, for RLC the
FIGURE 18. Four-input MI-OTA realized with four single-input OTAs.
FIGURE 19. Experimental setup of the proposed elliptic band-pass filer.
FIGURE 20. Magnitude and phase response of proposed elliptic
band-pass filer for IB=60µA.
FIGURE 21. Magnitude response of the proposed elliptic band-pass filer
for IB=40, 60 and 80µA.
BW=858.3Hz, mid band gain = −0.602dB. The −3dB band
pass is around 334 Hz - 1.1 kHz. The tunability of the filters
for different Rset =0.7k, 0.9 k, 1.1 k, 1.3 k, 1.5 k
is shown in Fig. 15.
The transient characteristic of the filters with input sine
wave of 300mVpp @1 kHz is shown in Fig. 16, the total
harmonic distortion (THD) was 0.9%. The THD versus the
input peak-to-peak signal is shown in Fig. 17. The simulated
value of the output noise was 40µVrms hence the dynamic
range of the filter was 72.9 dB for 2% THD.
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FIGURE 22. Output and input signals of the proposed elliptic BPF at
IB=60µA (f0=10kHz) for different frequencies (input is upper trace and
output is lower trace) (a) 3kHz, (b) 5kHz (c) 10kHz (d) 30kHz (e) 100kHz.
V. EXPERIMENTAL RESULTS
In addition, to confirm practical operation of the proposed
BPF, the experiment was conducted using commercially
TABLE 3. The Passive Elements used in the elliptic BPF.
FIGURE 23. Output spectrum of the elliptic BPF when input applied
100mVpp/10kHz with IB=60µA.
available OTA (LT1228) with ±12V power supply. The val-
ues of the used capacitors were C1=C2=C3=C0
1=C0
2=
C0
3=10nF, C4=1nF, C0
4=100nF. The four-input MI-OTA
was implemented using four OTAs, as shown in Fig. 18. The
experimental setup is shown in Fig. 19. For measurement of
the frequency characteristics, the Bode 100 vector network
analyzer has been used.
Fig. 20 shows the magnitude and phase response at IB=
60µA. The center frequency (f0) was around 10kHz, −40dB
stop-band and 15kHz bandwidth agree well with simula-
tions. The phase shift was around 10oat f=10kHz. The
filter tunability was verified by adjusting the bias current
between 40µA and 80µA as shown in Fig. 21. The magnitude
response of the proposed elliptic band-pass filer, for different
IB, was in agreement with simulation results.
The transient response of the filter was verified by apply-
ing an input sine-wave signal with 100mVpp amplitude and
five different frequencies (1kHz, 3kHz, 10kHz, 30kHz and
100kHz), with IB=60µA. From Fig. 22, the filter can
provide the sinusoidal output signal at passband frequency
(f0=10kHz), while other frequencies cannot be passed to
the output. The results of transient response agreed well with
the magnitude and phase response in Fig. 20.
Given the bias current IB=60µA for f0=10kHz,
the sinusoidal signal with amplitude of 100mVpp was applied
at the input of the proposed filter. The filter provides an output
sine-wave signal as shown in Fig. 22(c) and its spectrum
is shown in Fig. 23. The measured HD2, HD3and HD4
harmonic distortions compared to the fundamental frequency
(10kHz) were equal to −32dB, −36dB and −38dB, respec-
tively. Thus, the calculated THD was 3.2%.
VI. CONCLUSION
This paper presents a new voltage-mode elliptic Band-pass
Filter based on multiple-input transconductor. As it was
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shown, the MI-OTA facilitates filter’s construction with less
count of active elements and with reduced complexity, com-
pared with other solutions presented in literature. Thanks to
the unity gain negative feedback and the capacitive divider,
the linearity of the OTA is increased. The proposed circuit
was designed in Cadence environment using 0.18 µm TSMC
CMOS technology. Intensive simulation results including
Monte Carlo and PVT analysis are presented. The simulation
and experimental results prove the advantages of the proposed
filter.
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PIPAT PROMMEE (Senior Member, IEEE)
received the M.Eng. and D.Eng. degrees in electri-
cal engineering from the Faculty of Engineering,
King Mongkut’s Institute of Technology Ladkra-
bang (KMITL), Bangkok, Thailand, in 1995 and
2002, respectively. He was a Senior Engineer with
CAT Telecom Plc., from 1992 to 2003. Since
2003, he has been a Faculty Member with KMITL.
He is currently an Associate Professor with the
Department of Telecommunications Engineering,
KMITL. He is the author or the coauthor of more than 80 publications in
journals and proceedings of international conferences. His research inter-
ests include analog signal processing, analog filter design, fractional-order
systems, and CMOS analog integrated circuit design. He is a Committee
Member of the Electrical Engineering/Electronics, Computer, Telecommu-
nications and Information Technology Association of Thailand (ECTI),
Thailand. He served as a Guest Editor for the Special Issue on Selected
Papers from the 17th International Conference on Electrical Engineer-
ing/Electronics, Computer, Telecommunications and Information Technol-
ogy (ECTI-CON 2020) of an AEÜ—International Journal of Electronics and
Communications.
KHUNANON KARAWANICH received the
B.Eng. degree in electrical engineering from the
Faculty of Engineering, Silpakorn University,
Thailand, in 2018. He is currently pursuing the
M.Eng. degree in telecommunications engineer-
ing with KMITL. His research interests include
communication circuits and systems, analog signal
processing, and chaotic system designs.
FABIAN KHATEB received the M.Sc. and Ph.D.
degrees in electrical engineering and communica-
tion and also in business and management from
the Brno University of Technology, Czech Repub-
lic, in 2002, 2003, 2005, and 2007, respectively.
He is currently a Professor with the Department of
Microelectronics, Faculty of Electrical Engineer-
ing and Communication, Brno University of Tech-
nology, and the Department of Information and
Communication Technology in Medicine, Faculty
of Biomedical Engineering, Czech Technical University in Prague. He has
expertise in new principles of designing low-voltage low-power analog
circuits, particularly biomedical applications. He holds five patents. He has
authored or coauthored over 100 publications in journals and proceedings
of international conferences. He is a member of the Editorial Board of
Microelectronics Journal,Sensors,Electronics, and Journal of Low Power
Electronics and Applications. He is also an Associate Editor of IEEE ACCESS,
Circuits, Systems and Signal Processing,IET Circuits, Devices and Systems,
and International Journal of Electronics. He was a Lead Guest Editor for
the Special Issues on Low Voltage Integrated Circuits and Systems on
Circuits, Systems and Signal Processing in 2017, IET Circuits, Devices and
Systems in 2018, and Microelectronics Journal in 2019. He was also a Guest
Editor for the Special Issue on Current-Mode Circuits and Systems; Recent
Advances, Design and Applications of International Journal of Electronics
and Communications in 2017.
TOMASZ KULEJ received the M.Sc. and Ph.D.
degrees (Hons.) from the Gdańsk University of
Technology, Gdańsk, Poland, in 1990 and 1996,
respectively. He was a Senior Design Analysis
Engineer with Polish branch of Chipworks Inc.,
Ottawa, Canada. He is currently an Associate Pro-
fessor with the Department of Electrical Engi-
neering, Częstochowa University of Technology,
Poland, where he conducts lectures on electronics
fundamentals, analog circuits, and computer aided
design. He has authored or coauthored over 80 publications in peer-reviewed
journals and conferences. He holds three patents. His recent research inter-
ests include analog integrated circuits in CMOS technology, with emphasis
to low-voltage and low-power solutions. He serves as an Associate Editor
for Circuits, Systems and Signal Processing and IET Circuits, Devices and
Systems. He was a Guest Editor for the Special Issues on Low Voltage
Integrated Circuits on Circuits Systems and Signal Processing in 2017, IET
Circuits, Devices and Systems in 2018, and Microelectronics Journal in 2019.
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