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ACEEE Int. J. on Electrical and Power Engineering, Vol. 01, No. 03, Dec 2010




       Electronically Tunable Current-Mode
   SIMO/MISO Universal Biquad Filter Using MO-
                    CCCCTAs
                                     S. V. Singh1, S. Maheshwari2, and D. S. Chauhan3
             1
                 Department of Electronics and Communications, Jaypee University of Information Technology,
                                               Waknaghat, Solan-173215 (India)
                                               Email: sajaivir@rediffmail.com
                   2
                    Department of Electronics Engineering, Z. H. College of Engineering and Technology,
                                         Aligarh Muslim University, Aligarh-202002 (India)
                                            Email:sudhanshu_maheshwari@rediffmail.com
                    3
                      Department of Electrical Engineering, Institute of Technology, Banaras Hindu University,
                                                     Varanasi-221005 (India)
                                                  Email:pdschauhan@gmail.com


Abstract— This paper presents an electronically tunable                  matching conditions. Unfortunately these reported circuits [2-
current-mode SIMO/MISO universal biquad filter using multi-              23] suffer from one or more of the following drawbacks:
output current controlled current conveyor transconductance                   (i). Lack of electronic tunability [2-3, 15-17, 22].
amplifiers (MO-CCCCTAs). The proposed filter employs only                     (ii). Excessive use of active and/or passive elements [2-
two CCCCTAs and two grounded capacitors. The proposed                                5, 7-18, 21-23].
configuration can be used as either single input multi-output                 (iii). Can not provide completely standard filter functions
(SIMO) or multi (three) input single output (MISO) current                           [4-6, 10].
mode filter. It can realize all five different standard filter                (iv). Can not provide explicit current outputs [4-6].
functions i.e. low-pass (LP), band-pass (BP), high-pass (HP),                 (v). Use of floating passive elements [6-7, 19].
band-reject (BR) and all-pass (AP). The circuit enjoys an                     (vi). Require minus input current signal and/or double
independent current control of pole frequency and bandwidth.                         input current signal to realize AP filter function [19-
Both the active and passive sensitivities are no more than                           21].
unity. The validity of proposed filter is verified through                    In spice of fact that most of these current-mode filters
computer simulations using PSPICE, the industry standard                 are either SIMO or MISO. However, the circuit reported in
tool.                                                                    refs. [22-23] can be used as SIMO as well as MISO current-
                                                                         mode filter from the same configuration but these circuits
IndexTerms—CCCCTA, current-mode, universal, biquad,                      [22-23] uses excessive number of active and passive
filter                                                                   components. CCCCTA is relatively new active element [24]
                                                                         and has received considerable attentions as current mode
                        I. INTRODUCTION                                  active element, because its trans-conductance and parasitic
    The current-mode active filter, where information is                 resistance can be adjusted electronically, hence it does not
represented by the branch currents of the circuits rather than           need a resistor in practical applications. This device can be
the nodal voltages as of voltage-mode active filter, posses              operated in both current and voltage modes, providing
many unique and attractive characteristics over their voltage-           flexibility. In addition, it can offer several advantages such as
mode counter parts including small nodal time constant, high             high slew rate, high speed, wider bandwidth and simpler
current swing in the presence of a low supply voltage,                   implementation. All these advantages together, its current-
reduced distortion and better ESD immunity [1 ]. During the              mode operation makes the CCCCTA, a promising choice for
last one decade and recent past a number of current-mode                 realizing active filters [24]. In this paper an electronically
active filters have been reported in the literature [2-23], using        tunable current-mode SIMO/MISO universal biquad filter
different current conveyors (CCs). These current-mode active             employing two MO-CCCCTAs and two grounded capacitors.
filters are broadly classified as SIMO [2-14, 22-23] or MISO             The proposed configuration can be used as either SIMO or
[15-21, 22-23] current-mode filters. The SIMO current-mode               MISO current mode filter, without change in circuit
filters can realize second order LP, BP, HP, BR and AP                   configuration. It can realize all five different standard filter
responses simultaneously, without changing the connection                functions i.e. LP, BP, HP, BR and AP. The circuit enjoys an
of the input current signal and without imposing any                     independent current control of pole frequency and
restrictive conditions on the input signal. The MISO current-            bandwidth. The circuit possesses low active and passive
mode filters can realize all the standard filter function                sensitivity performance. The performances of proposed
through appropriate selection of the signals without any                 circuit are illustrated by PSPICE simulations.

                                                                    36
© 2010 ACEEE
DOI: 01.IJEPE.01.03.100
ACEEE Int. J. on Electrical and Power Engineering, Vol. 01, No. 03, Dec 2010




                                                                                          I OUT 1 = −
                                                                                                          ( I in1 + I in 2 ) C2 s + I in3 g m 2           (5)
                                                                                                                         D(s)
                                                                                                 g m 2 [ I in 3C1 RX 2 s + ( I in 3 − I in1 − I n 2 ) ]
                                                                                    I OUT 2 =                                                             (6)
                                                                                                                        D( s)
                                                                                                 I in1 ( D ( s ) − C2 s ) − I in 2C2 s − I in 3 g m 2
                                                                                     I OUT 3 =                                                             (7)
                                                                                                                        D(s)

                                                                                                  g m1 RX 2 ⎡( I in1 + I in 2 ) C2 s + I in 3 g m 2 ⎤
                                                                                                            ⎣                                       ⎦
                                                                                     I OUT 4 =                                                             (8)
                                                                                                                         D(s)
                         Figure 1. CCCCTA Symbol
                                                                                     Where D ( s ) = s 2C1C2 RX 2 + sC2 + g m 2                            (9)
                   II. CIRCUIT DESCRIPTION
     The CCCCTA properties can be described by the                                It can be seen from (7) that proposed filter circuit can be
following equations                                                               used as three input single output (TISO) current-mode filter
                                                                                  and realizes five standard filter functions at current output
    VXi = VYi + I Xi R Xi , I Zi = I Xi , I − Zi = − I Xi , IO = g mi VZi         IOUT3 which are follow as:
                                                                       (1)            (i). An inverted BP with Iin2 = Iin and Iin3 = Iin1=0.
         where Rxi and gmi are the parasitic resistance
at x terminal and transconductance of the ith CCCCTA                                  (ii). A non-inverted HP with Iin2 = 0 and Iin3 = Iin1=
respectively. Rxi and gmi depend upon the biasing currents                                  Iin.
IBi and ISi of the ith CCCCTA respectively. The schematic
symbol of CCCCTA is illustrated in Fig.1. The                                         (iii). A non-inverted LP with Iin2 = Iin1= 0 and Iin3 =
implementation of MO-CCCCTA with CMOS transistors                                          Iin.
[25] is shown in Fig.2. For CMOS model of CCCCTA
shown in Fig.2, Rx and gm can be expressed as                                         (iv). A non-inverted BR with Iin1 = Iin and Iin3 = Iin2
                                                                                           = 0.
                                       1                                              (v). A non-inverted AP with Iin1 =Iin2 = Iin and Iin3
                          RX =                                        (2)
                                     8β n I B                                              = 0.
and                                                                                    In this design we can note that there are no need of any
                                                                                  component matching conditions, inverting-type input
                           gm = βn I S                                (3)         current signal(s) and double input current signal(s) to
                                                                                  realize the above standard filter functions. Moreover,
                                            W                                     above proposed filter circuit can also be used as single
Where                     β n = μn COX                             (4)
                                                                                  input multi-output current-mode filter if Iin2 = Iin3 =0 and by
                                            L
                                                                                  taking Iin1as single input current terminal. From (5) to (8)
where μn, COX and W/L are the electron mobility, gate                             the following current transfer functions can be obtained.
oxide capacitance per unit area and transistor aspect ratio,
respectively.                                                                                                 I OUT 1 −C2 s
                                                                                                                      =                                   (10)
                                                                                                                I in1   D(s)
              III. PROPOSED FILTER CIRCUIT
                                                                                                              I OUT 2 − g m 2
       The proposed electronically tunable current-mode                                                               =                                   (11)
SIMO/MISO universal biquad filter circuit is shown in                                                           I in1   D( s)
Fig.3. It is based on two MO-CCCCTAs and two grounded
capacitors. Routine analysis of the proposed circuit yields                                                 I OUT 3 C1C2 RX 2 s 2 + g m 2
the following current transfer functions.                                                                           =                                     (12)
                                                                                                              I in1       D(s)




                                                                             37
© 2010 ACEEE
DOI: 01.IJEPE.01.03.100
ACEEE Int. J. on Electrical and Power Engineering, Vol. 01, No. 03, Dec 2010




                                         Figure 2. Implementation of MO-CCCCTA using CMOS transistors

                                                                             Substituting intrinsic resistances as depicted in (2) - (3), it
                                                                             yields
                                                                                                1                               1           1
                                                                                  ⎛ 1      ⎞2              1          ⎛ C ⎞2 ⎛ I ⎞4
                                                                             ωo = ⎜     βn ⎟ ( 8I B2 IS2 ) 4 ,    Q = ⎜ 1 ⎟ ⎜ S2 ⎟ (15)
                                                                                  ⎝ C1C2 ⎠                            ⎝ C2 ⎠ ⎝ 8I B2 ⎠
                                                                             From (15), by maintaining the ratio IB2 and IS2 to be
                                                                             constant, it can be remarked that the pole frequency can be
                                                                             electronically adjusted by IB2 and IS2 without affecting the
                                                                             quality factor. In addition, bandwidth (BW) of the system
                                                                             can be expressed by

                                                                                                            ωO        1                 1
                                                                                                    BW =          =      ( 8β n I B 2 ) 2       (16)
                                                                                                             Q        C1
                                                                             Equation (15) shows that the bandwidth can be controlled
                                                                             by IB2. From (15) and (16) , it is clear that parameter ωo
                                                                             can be controlled electronically by adjusting bias current
                                                                             IS2 with out disturbing parameter ωo/Q .

                                                                                             IV. NON-IDEAL ANALYSIS
  Figure 3. Electronically tunable current-mode SIMO/MISO universal
                              biquad filter
                                                                                      Taking the non-idealities of CCCCTA into
                                                                             account, the relationship of the terminal voltages and
                          I OUT 4 g m1 RX 2C2 s                              currents can be rewritten as follow.
                                  =                              (13)
                            I in1     D( s)
                                                                                  VXi = βi VYi + I Xi R Xi , I Zi = α pi I Xi , I − Zi = −α ni I Xi ,
          It can be seen from (10) to (13) that inverting BP,
an inverting LP, non-inverting BR and non-inverting BP                             IO = γ i g mi VZi                                            (17)
filter responses are obtained from output currents IOUT1,
IOUT2, IOUT3 and IOUT4 respectively. HP and AP filter                        Where βi =1-εvi and εvi ( | εvi | <<1) represents the voltage
responses can be easily obtained from the currents IHP=                      tracking error from Y to X terminal, and αpi =1-εpi and εpi ( |
IOUT2 + IOUT3 and IAP= IOUT1 + IOUT3 respectively.                           εpi | <<1) represents the current tracking error from X to
Obviously, it is a single-input six-outputs current mode                     +Z terminal and αni =1-εni and εni ( | εni | <<1) represents the
universal biquad filter. The pole frequency (ωo), the quality                current tracking error from X to -Z terminal and γi is the
factor (Q) and Bandwidth (BW) ωo /Q of each filter can be                    trans-conductance inaccuracy factor from Z to X terminal.
expressed as                                                                 The non-ideal analysis of the proposed filter in Fig.3 yields
                      1                    1
                                                                             the denominator of the transfer functions as
       ⎛ g m2 ⎞ 2            ⎛ C R g ⎞2         ωO   1
  ωo = ⎜             ⎟ , Q = ⎜ 1 X2 m2 ⎟ , BW =    =
       ⎝ C1C 2 R X 2 ⎠       ⎝    C2   ⎠        Q C1R X2                      D( s ) = s 2α n1C1C2 RX 2 + sα p1α n 2 β 2C2 + α n1α n 2 β 2γ 2 g m 2
                                                                 (14)                                                                           (18)


                                                                        38
© 2010 ACEEE
DOI: 01.IJEPE.01.03.100
ACEEE Int. J. on Electrical and Power Engineering, Vol. 01, No. 03, Dec 2010



In this case, the ωo and Q are changed to
                          1                                    1
     ⎛ α β γ g ⎞2        α ⎛ γ C g R ⎞2
ωo = ⎜ n 2 2 2 m2 ⎟ , Q = n1 ⎜ 2 1 m2 X2 ⎟                         (19)
     ⎝ C1C2 R X2 ⎠       α p1 ⎝ α n 2β2 C2 ⎠

The active and passive sensitivities of the proposed circuit
as shown in Fig.3, can be found as

 ω                    1 ωo                           1
SC1o,C2 , RX 2 = −      , Sγ 2 ,α n 2 , β 2 , g m 2 = ,                                                       (a)
                      2                              2
 ω
Sα no1 ,α p1 ,γ1 , β1 , gm1 = 0                                    (20)


                    1 Q                       1 Q
SC2 ,α n 2 , β2 = − , S RX 2 ,C1 ,γ 2 , gm 2 = , Sα p1 = −1 ,
 Q

                    2                         2
Sα n1 = 1 , S RX 1 ,γ1 , β1 = 0
 Q               Q
                                                              (21)

From the above results, it can be observed that all the                                                       (b)
sensitivities are low and no longer than one in magnitude.

                  V. SIMULATION RESULTS
   P-spice simulations are carried out to demonstrate the
feasibility of the proposed circuit using CMOS
implementation as shown in Fig.2. The simulations use a
0.35µm MOSFET from TSMC (the model parameters are
given in Table1). The dimensions of PMOS are determined
as W=3µm and L=2µm. In NMOS transistors, the
dimensions are W=3µm and L=4µm. Fig.4 Shows the
simulated current gain responses of the LP, BP, BR, HP                                                        (c)
and AP of SIMO configuration of the proposed circuit in
Fig.3. Fig.5 shows the simulated current gain and phase
responses of the LP, BP, BR, HP and AP of MISO
configuration of the proposed circuit in Fig.3. The
proposed filter is designed with IB1=IB2=6µA, IS1=
IS2=54.5µA and C1=C2=35pf. The supply voltages are
VDD=-VSS=1.85V. The simulated pole frequency is
obtained as 333 KHz. The simulation results agree quite
well with the theoretical analysis.

                                                                                                              (d)




                                                                                                              (e)
                                                                               Figure 5 Current gain and phase responses of the (a) BP, (b) HP, (c)
                                                                                        LP, (d) BR and (e) AP of MISO configuration of the proposed
Figure 4. Current gain responses of the LP, BP, BR, HP and AP of SIMO                                          circuit in Fig.3.
                   configuration of the proposed circuit in Fig.3



                                                                          39
© 2010 ACEEE
DOI: 01.IJEPE.01.03.100
ACEEE Int. J. on Electrical and Power Engineering, Vol. 01, No. 03, Dec 2010



    Further simulations are carried out to verify the total                                      VI. CONCLUSION
harmonic distortion (THD). The circuit is verified by
applying a sinusoidal current of varying frequency and                      An electronically tunable current-mode SIMO/MISO
amplitude 20µA.The THD are measured at the LP output                        universal bquad filter using only two MO-CCCCTAs and two
(IOUT2). The THD is found to be less than 5% while                          grounded capacitors is proposed. The proposed filter offers
frequency is varied from 10 KHz to 150 KHz. The time                        the following advantages
domain response of LP output (IOUT2) is shown in Fig.6. It                      (i). Simultaneously realizes LP, BP, HP, BR and AP
is observed that 40µA peak to peak input current sinusoidal                            responses with the single input three output or three
signal levels are possible with out significant distortions.                           input single output from same configuration.
                                                                                (ii). Both the capacitors are grounded and ideal for
                                                                                       integrated circuit implementation.
                                                                                (iii). Low sensitivity figures.
                                                                                (iv). Filter parameters- ωo , Q and ωo / Q are
                                                                                       electronically tunable with bias current(s) of
                                                                                       CCCCTA(s)
                                                                                (v). ωo and ωo / Q are orthogonally tunable.
                                                                                (vi). No need to use inverting-type input current signals
                                                                                       or double input current signals to realize all five
                                                                                       standard filter functions.
                                                                                (vii). Availability of explicit current outputs (i.e. high
                                                                                       impedance output nodes) without requiring any
                                                                                       additional active elements.
  Figure 6. Time domain input and LP output (IOUT2) waveforms of the        With above mentioned features it is very suitable to realize
                      proposed circuit in Fig .3.                           the proposed circuit in monolithic chip to use in battery
                                                                            powered, portable electronic equipments such as wireless
            Table 1. 0.35μm level 3 MOSFET parameters                       communication system devices.
NMOS:
LEVEL=3 TOX=7.9E-9 NSUB=1E17 GAMMA=0.5827871
PHI=0.7 VTO=0.5445549 DELTA=0 UO=436.256147 ETA=0
THETA=0.1749684    KP=2.055786E-4    VMAX=8.309444E4
KAPPA=0.2574081 RSH=0.0559398 NFS=1E12 TPG=1 XJ=3E-7
LD=3.162278E-11      WD=7.04672E-8      CGDO=2.82E-10
CGSO=2.82E-10    CGBO=1E-10     CJ=1E-3   PB=0.9758533
MJ=0.3448504 CJSW=3.777852E-10 MJSW=0.3508721
PMOS:

LEVEL =3 TOX = 7.9E-9 NSUB=1E17 GAMMA=0.4083894
PHI=0.7 VTO=-0.7140674 DELTA=0          UO=212.2319801
ETA=9.999762E-4      THETA=0.2020774     KP=6.733755E-5
VMAX=1.181551E5 KAPPA=1.5 RSH=30.0712458 NFS=1E12
TPG=-1    XJ=2E-7     LD=5.000001E-13   WD=1.249872E-7
CGDO=3.09E-10 CGSO=3.09E-10 CGBO=1E-10 CJ=1.419508E-3
PB=0.8152753 MJ=0.5 CJSW=4.813504E-10 MJSW=0.5




                                                                       40
© 2010 ACEEE
DOI: 01.IJEPE.01.03.100
ACEEE Int. J. on Electrical and Power Engineering, Vol. 01, No. 03, Dec 2010



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                                                                      41
© 2010 ACEEE
DOI: 01.IJEPE.01.03.100

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Electronically Tunable Current-Mode SIMO/MISO Universal Biquad Filter Using MOCCCCTAs

  • 1. ACEEE Int. J. on Electrical and Power Engineering, Vol. 01, No. 03, Dec 2010 Electronically Tunable Current-Mode SIMO/MISO Universal Biquad Filter Using MO- CCCCTAs S. V. Singh1, S. Maheshwari2, and D. S. Chauhan3 1 Department of Electronics and Communications, Jaypee University of Information Technology, Waknaghat, Solan-173215 (India) Email: sajaivir@rediffmail.com 2 Department of Electronics Engineering, Z. H. College of Engineering and Technology, Aligarh Muslim University, Aligarh-202002 (India) Email:sudhanshu_maheshwari@rediffmail.com 3 Department of Electrical Engineering, Institute of Technology, Banaras Hindu University, Varanasi-221005 (India) Email:pdschauhan@gmail.com Abstract— This paper presents an electronically tunable matching conditions. Unfortunately these reported circuits [2- current-mode SIMO/MISO universal biquad filter using multi- 23] suffer from one or more of the following drawbacks: output current controlled current conveyor transconductance (i). Lack of electronic tunability [2-3, 15-17, 22]. amplifiers (MO-CCCCTAs). The proposed filter employs only (ii). Excessive use of active and/or passive elements [2- two CCCCTAs and two grounded capacitors. The proposed 5, 7-18, 21-23]. configuration can be used as either single input multi-output (iii). Can not provide completely standard filter functions (SIMO) or multi (three) input single output (MISO) current [4-6, 10]. mode filter. It can realize all five different standard filter (iv). Can not provide explicit current outputs [4-6]. functions i.e. low-pass (LP), band-pass (BP), high-pass (HP), (v). Use of floating passive elements [6-7, 19]. band-reject (BR) and all-pass (AP). The circuit enjoys an (vi). Require minus input current signal and/or double independent current control of pole frequency and bandwidth. input current signal to realize AP filter function [19- Both the active and passive sensitivities are no more than 21]. unity. The validity of proposed filter is verified through In spice of fact that most of these current-mode filters computer simulations using PSPICE, the industry standard are either SIMO or MISO. However, the circuit reported in tool. refs. [22-23] can be used as SIMO as well as MISO current- mode filter from the same configuration but these circuits IndexTerms—CCCCTA, current-mode, universal, biquad, [22-23] uses excessive number of active and passive filter components. CCCCTA is relatively new active element [24] and has received considerable attentions as current mode I. INTRODUCTION active element, because its trans-conductance and parasitic The current-mode active filter, where information is resistance can be adjusted electronically, hence it does not represented by the branch currents of the circuits rather than need a resistor in practical applications. This device can be the nodal voltages as of voltage-mode active filter, posses operated in both current and voltage modes, providing many unique and attractive characteristics over their voltage- flexibility. In addition, it can offer several advantages such as mode counter parts including small nodal time constant, high high slew rate, high speed, wider bandwidth and simpler current swing in the presence of a low supply voltage, implementation. All these advantages together, its current- reduced distortion and better ESD immunity [1 ]. During the mode operation makes the CCCCTA, a promising choice for last one decade and recent past a number of current-mode realizing active filters [24]. In this paper an electronically active filters have been reported in the literature [2-23], using tunable current-mode SIMO/MISO universal biquad filter different current conveyors (CCs). These current-mode active employing two MO-CCCCTAs and two grounded capacitors. filters are broadly classified as SIMO [2-14, 22-23] or MISO The proposed configuration can be used as either SIMO or [15-21, 22-23] current-mode filters. The SIMO current-mode MISO current mode filter, without change in circuit filters can realize second order LP, BP, HP, BR and AP configuration. It can realize all five different standard filter responses simultaneously, without changing the connection functions i.e. LP, BP, HP, BR and AP. The circuit enjoys an of the input current signal and without imposing any independent current control of pole frequency and restrictive conditions on the input signal. The MISO current- bandwidth. The circuit possesses low active and passive mode filters can realize all the standard filter function sensitivity performance. The performances of proposed through appropriate selection of the signals without any circuit are illustrated by PSPICE simulations. 36 © 2010 ACEEE DOI: 01.IJEPE.01.03.100
  • 2. ACEEE Int. J. on Electrical and Power Engineering, Vol. 01, No. 03, Dec 2010 I OUT 1 = − ( I in1 + I in 2 ) C2 s + I in3 g m 2 (5) D(s) g m 2 [ I in 3C1 RX 2 s + ( I in 3 − I in1 − I n 2 ) ] I OUT 2 = (6) D( s) I in1 ( D ( s ) − C2 s ) − I in 2C2 s − I in 3 g m 2 I OUT 3 = (7) D(s) g m1 RX 2 ⎡( I in1 + I in 2 ) C2 s + I in 3 g m 2 ⎤ ⎣ ⎦ I OUT 4 = (8) D(s) Figure 1. CCCCTA Symbol Where D ( s ) = s 2C1C2 RX 2 + sC2 + g m 2 (9) II. CIRCUIT DESCRIPTION The CCCCTA properties can be described by the It can be seen from (7) that proposed filter circuit can be following equations used as three input single output (TISO) current-mode filter and realizes five standard filter functions at current output VXi = VYi + I Xi R Xi , I Zi = I Xi , I − Zi = − I Xi , IO = g mi VZi IOUT3 which are follow as: (1) (i). An inverted BP with Iin2 = Iin and Iin3 = Iin1=0. where Rxi and gmi are the parasitic resistance at x terminal and transconductance of the ith CCCCTA (ii). A non-inverted HP with Iin2 = 0 and Iin3 = Iin1= respectively. Rxi and gmi depend upon the biasing currents Iin. IBi and ISi of the ith CCCCTA respectively. The schematic symbol of CCCCTA is illustrated in Fig.1. The (iii). A non-inverted LP with Iin2 = Iin1= 0 and Iin3 = implementation of MO-CCCCTA with CMOS transistors Iin. [25] is shown in Fig.2. For CMOS model of CCCCTA shown in Fig.2, Rx and gm can be expressed as (iv). A non-inverted BR with Iin1 = Iin and Iin3 = Iin2 = 0. 1 (v). A non-inverted AP with Iin1 =Iin2 = Iin and Iin3 RX = (2) 8β n I B = 0. and In this design we can note that there are no need of any component matching conditions, inverting-type input gm = βn I S (3) current signal(s) and double input current signal(s) to realize the above standard filter functions. Moreover, W above proposed filter circuit can also be used as single Where β n = μn COX (4) input multi-output current-mode filter if Iin2 = Iin3 =0 and by L taking Iin1as single input current terminal. From (5) to (8) where μn, COX and W/L are the electron mobility, gate the following current transfer functions can be obtained. oxide capacitance per unit area and transistor aspect ratio, respectively. I OUT 1 −C2 s = (10) I in1 D(s) III. PROPOSED FILTER CIRCUIT I OUT 2 − g m 2 The proposed electronically tunable current-mode = (11) SIMO/MISO universal biquad filter circuit is shown in I in1 D( s) Fig.3. It is based on two MO-CCCCTAs and two grounded capacitors. Routine analysis of the proposed circuit yields I OUT 3 C1C2 RX 2 s 2 + g m 2 the following current transfer functions. = (12) I in1 D(s) 37 © 2010 ACEEE DOI: 01.IJEPE.01.03.100
  • 3. ACEEE Int. J. on Electrical and Power Engineering, Vol. 01, No. 03, Dec 2010 Figure 2. Implementation of MO-CCCCTA using CMOS transistors Substituting intrinsic resistances as depicted in (2) - (3), it yields 1 1 1 ⎛ 1 ⎞2 1 ⎛ C ⎞2 ⎛ I ⎞4 ωo = ⎜ βn ⎟ ( 8I B2 IS2 ) 4 , Q = ⎜ 1 ⎟ ⎜ S2 ⎟ (15) ⎝ C1C2 ⎠ ⎝ C2 ⎠ ⎝ 8I B2 ⎠ From (15), by maintaining the ratio IB2 and IS2 to be constant, it can be remarked that the pole frequency can be electronically adjusted by IB2 and IS2 without affecting the quality factor. In addition, bandwidth (BW) of the system can be expressed by ωO 1 1 BW = = ( 8β n I B 2 ) 2 (16) Q C1 Equation (15) shows that the bandwidth can be controlled by IB2. From (15) and (16) , it is clear that parameter ωo can be controlled electronically by adjusting bias current IS2 with out disturbing parameter ωo/Q . IV. NON-IDEAL ANALYSIS Figure 3. Electronically tunable current-mode SIMO/MISO universal biquad filter Taking the non-idealities of CCCCTA into account, the relationship of the terminal voltages and I OUT 4 g m1 RX 2C2 s currents can be rewritten as follow. = (13) I in1 D( s) VXi = βi VYi + I Xi R Xi , I Zi = α pi I Xi , I − Zi = −α ni I Xi , It can be seen from (10) to (13) that inverting BP, an inverting LP, non-inverting BR and non-inverting BP IO = γ i g mi VZi (17) filter responses are obtained from output currents IOUT1, IOUT2, IOUT3 and IOUT4 respectively. HP and AP filter Where βi =1-εvi and εvi ( | εvi | <<1) represents the voltage responses can be easily obtained from the currents IHP= tracking error from Y to X terminal, and αpi =1-εpi and εpi ( | IOUT2 + IOUT3 and IAP= IOUT1 + IOUT3 respectively. εpi | <<1) represents the current tracking error from X to Obviously, it is a single-input six-outputs current mode +Z terminal and αni =1-εni and εni ( | εni | <<1) represents the universal biquad filter. The pole frequency (ωo), the quality current tracking error from X to -Z terminal and γi is the factor (Q) and Bandwidth (BW) ωo /Q of each filter can be trans-conductance inaccuracy factor from Z to X terminal. expressed as The non-ideal analysis of the proposed filter in Fig.3 yields 1 1 the denominator of the transfer functions as ⎛ g m2 ⎞ 2 ⎛ C R g ⎞2 ωO 1 ωo = ⎜ ⎟ , Q = ⎜ 1 X2 m2 ⎟ , BW = = ⎝ C1C 2 R X 2 ⎠ ⎝ C2 ⎠ Q C1R X2 D( s ) = s 2α n1C1C2 RX 2 + sα p1α n 2 β 2C2 + α n1α n 2 β 2γ 2 g m 2 (14) (18) 38 © 2010 ACEEE DOI: 01.IJEPE.01.03.100
  • 4. ACEEE Int. J. on Electrical and Power Engineering, Vol. 01, No. 03, Dec 2010 In this case, the ωo and Q are changed to 1 1 ⎛ α β γ g ⎞2 α ⎛ γ C g R ⎞2 ωo = ⎜ n 2 2 2 m2 ⎟ , Q = n1 ⎜ 2 1 m2 X2 ⎟ (19) ⎝ C1C2 R X2 ⎠ α p1 ⎝ α n 2β2 C2 ⎠ The active and passive sensitivities of the proposed circuit as shown in Fig.3, can be found as ω 1 ωo 1 SC1o,C2 , RX 2 = − , Sγ 2 ,α n 2 , β 2 , g m 2 = , (a) 2 2 ω Sα no1 ,α p1 ,γ1 , β1 , gm1 = 0 (20) 1 Q 1 Q SC2 ,α n 2 , β2 = − , S RX 2 ,C1 ,γ 2 , gm 2 = , Sα p1 = −1 , Q 2 2 Sα n1 = 1 , S RX 1 ,γ1 , β1 = 0 Q Q (21) From the above results, it can be observed that all the (b) sensitivities are low and no longer than one in magnitude. V. SIMULATION RESULTS P-spice simulations are carried out to demonstrate the feasibility of the proposed circuit using CMOS implementation as shown in Fig.2. The simulations use a 0.35µm MOSFET from TSMC (the model parameters are given in Table1). The dimensions of PMOS are determined as W=3µm and L=2µm. In NMOS transistors, the dimensions are W=3µm and L=4µm. Fig.4 Shows the simulated current gain responses of the LP, BP, BR, HP (c) and AP of SIMO configuration of the proposed circuit in Fig.3. Fig.5 shows the simulated current gain and phase responses of the LP, BP, BR, HP and AP of MISO configuration of the proposed circuit in Fig.3. The proposed filter is designed with IB1=IB2=6µA, IS1= IS2=54.5µA and C1=C2=35pf. The supply voltages are VDD=-VSS=1.85V. The simulated pole frequency is obtained as 333 KHz. The simulation results agree quite well with the theoretical analysis. (d) (e) Figure 5 Current gain and phase responses of the (a) BP, (b) HP, (c) LP, (d) BR and (e) AP of MISO configuration of the proposed Figure 4. Current gain responses of the LP, BP, BR, HP and AP of SIMO circuit in Fig.3. configuration of the proposed circuit in Fig.3 39 © 2010 ACEEE DOI: 01.IJEPE.01.03.100
  • 5. ACEEE Int. J. on Electrical and Power Engineering, Vol. 01, No. 03, Dec 2010 Further simulations are carried out to verify the total VI. CONCLUSION harmonic distortion (THD). The circuit is verified by applying a sinusoidal current of varying frequency and An electronically tunable current-mode SIMO/MISO amplitude 20µA.The THD are measured at the LP output universal bquad filter using only two MO-CCCCTAs and two (IOUT2). The THD is found to be less than 5% while grounded capacitors is proposed. The proposed filter offers frequency is varied from 10 KHz to 150 KHz. The time the following advantages domain response of LP output (IOUT2) is shown in Fig.6. It (i). Simultaneously realizes LP, BP, HP, BR and AP is observed that 40µA peak to peak input current sinusoidal responses with the single input three output or three signal levels are possible with out significant distortions. input single output from same configuration. (ii). Both the capacitors are grounded and ideal for integrated circuit implementation. (iii). Low sensitivity figures. (iv). Filter parameters- ωo , Q and ωo / Q are electronically tunable with bias current(s) of CCCCTA(s) (v). ωo and ωo / Q are orthogonally tunable. (vi). No need to use inverting-type input current signals or double input current signals to realize all five standard filter functions. (vii). Availability of explicit current outputs (i.e. high impedance output nodes) without requiring any additional active elements. Figure 6. Time domain input and LP output (IOUT2) waveforms of the With above mentioned features it is very suitable to realize proposed circuit in Fig .3. the proposed circuit in monolithic chip to use in battery powered, portable electronic equipments such as wireless Table 1. 0.35μm level 3 MOSFET parameters communication system devices. NMOS: LEVEL=3 TOX=7.9E-9 NSUB=1E17 GAMMA=0.5827871 PHI=0.7 VTO=0.5445549 DELTA=0 UO=436.256147 ETA=0 THETA=0.1749684 KP=2.055786E-4 VMAX=8.309444E4 KAPPA=0.2574081 RSH=0.0559398 NFS=1E12 TPG=1 XJ=3E-7 LD=3.162278E-11 WD=7.04672E-8 CGDO=2.82E-10 CGSO=2.82E-10 CGBO=1E-10 CJ=1E-3 PB=0.9758533 MJ=0.3448504 CJSW=3.777852E-10 MJSW=0.3508721 PMOS: LEVEL =3 TOX = 7.9E-9 NSUB=1E17 GAMMA=0.4083894 PHI=0.7 VTO=-0.7140674 DELTA=0 UO=212.2319801 ETA=9.999762E-4 THETA=0.2020774 KP=6.733755E-5 VMAX=1.181551E5 KAPPA=1.5 RSH=30.0712458 NFS=1E12 TPG=-1 XJ=2E-7 LD=5.000001E-13 WD=1.249872E-7 CGDO=3.09E-10 CGSO=3.09E-10 CGBO=1E-10 CJ=1.419508E-3 PB=0.8152753 MJ=0.5 CJSW=4.813504E-10 MJSW=0.5 40 © 2010 ACEEE DOI: 01.IJEPE.01.03.100
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