Voltage-Mode Universal Biquad Filter Employing Single Voltage Differencing Differential Input Buffered Amplifier

Transcription

1 Circuits and Systes, 3,, -8 Published Onle January 3 ( oltage-mode Universal Biquad Filter Eployg Sgle oltage Differencg Differential Input Buffered Aplifier Kanhaiya Lal Pushkar, Data Ra Bhaskar *, Desh Prasad Departent of Electronics and Counication Engeerg, Maharaja Agrasen Institute of Technology, New Delhi, India Departent of Electronics and Counication Engeerg, Faculty of Engeerg and Technology, Jaia Millia Islaia, New Delhi, India Eail: klpushkar@rediffail.co, * dbhaskar@ji.ac., dprasad@ji.ac. Received October, ; revised Noveber 3, ; accepted Noveber 3, ABSTRACT A new ulti function voltage-ode universal biquadratic filter usg sgle oltage Differencg Differential Input Buffered Aplifier (D-DIBA), two capacitors and one resistor is proposed. The proposed configuration has four puts and one output and can realie all the five standard filters fro the sae circuit configuration. The presented biquad filter offers low active and passive sensitivities. The validity of proposed universal biquadratic filter has been verified by SPICE siulation usg.35 µ MIETEC technology. Keywords: oltage Differencg Differential Input Buffered Aplifier; Analog Filter; oltage-mode. Introduction Recently, attention has been devoted to the design of ulti-put sgle output (MISO) or sgle put ultioutput (SIMO) current-ode or voltage-ode universal biquadratic filters because of their versatility and flexibility for practical applications as the sae circuit topology can be eployed for different filter responses. Several voltage-ode/current-ode universal biquadratic filters usg different types of sgle active buildg block/device have been presented [-8]. In reference [9] nuber of new active buildg blocks have been troduced, D- DIBA is one of the which is eergg as a flexible and versatile active eleent for analog signal processg. The applications, advantages and usefulness of D-DIBA have been recognied [,]. They have been used the realiation of first order all pass filter [], and the realiation of grounded and floatg ductances as presented []. The various filter configurations proposed [-8] and [,] although eploy sgle active device/eleent, but use two to four capacitors and two to four resistors. Therefore, the purpose of this paper is to troduce a new voltage-ode universal biquadratic filter usg sgle D-DIBA, two capacitors and only one resistor. The proposed configuration has four puts and one output and can realie all the five standard filters (low pass (LPF), high pass (HPF), band pass (BPF), band reject (BRF) and all pass (APF)) by proper selection of put * Correspondg author. voltages fro the sae circuit configuration without alterg the circuit topology. The active and passive sensitivities of the realied filters are low. The validity of the proposed configuration has been verified by SPICE siulation usg.35 µ MIETC technology.. The Proposed Biquadratic Filter Configuration The sybolic notation and equivalent odel of the D- DIBA (+) are shown Figures (a) and (b) respectively []. The odel cludes two controlled sources: the current source controlled by differential voltage, with the transconductance g, and the voltage source controlled by differential voltage v with the unity voltage ga. The D-DIBA (+) can be described by the followg set of equations: I I I g g Iv v w I w The proposed voltage-ode universal biquadratic filter is shown Figure. A route circuit analysis of Figure yields the followg expression for the output voltage ters of the put voltages () Copyright 3 SciRes.

2 K. L. PUSHKAR ET AL. 5 g g s s s C RCC RC 3s s R C o g g s s RC C RCC () Fro Equation (), various filter responses can be re- g alied as: (3) RCC ) If (grounded) and 3, then an vertg HPF can be realied grcc Q () ) If 3 and, then an vertg C grc BPF can be realied 3) If 3 and and C = C, /R 3. Non-Ideal Analysis and Sensitivity = g, then a LPF can be realied Perforance ) If 3, and and C = Let R Z and C Z denote the parasitic resistance and C, /R = g, then BRF can be realied 5) If 3, and parasitic capacitance of the Z-teral. Takg the and C = non-idealities to account, naely W Z C, /R = g, then APF can be realied where p p and nn The expressions for natural frequency (ω ) and quality denote the voltage trackg errors, respectively, then the factor (Q ) are given by output voltage ters of puts is given by: g g C s s 3 s s C RCC RCC RCC RC RRCC o (5) g g s s RC RC C RRCC RCC where C CC Rg RR CCC Rg RR C C C (6) Rg S S, S, g R Rg Rg Q R C C R C R g Its active and passive sensitivities can be found as: C C Q Rg SC, S,, S R SC SC S C C CC Rg Q g (7) (8) S C C C R g Q R Q Q Q Q C SR S R S C S C C CC R g R Fro Equation (8), it is clearly observed that all passive and active sensitivities are no ore than one half agnitudes for the proposed ulti-put sgle-output voltage-ode universal biquad.. Siulation Results To confir feasibility of the proposed universal biquad filter of Figure, the circuit was siulated usg CMOS D-DIBA (as shown Figure 3). For siulation the passive eleents of Figure were selected as C = C =.5 nf and R = KΩ. The transconductance of D-DIBA was controlled through the bias voltage B. The SPICE siulated frequency response of various proposed filters biquad is shown Figure. Figure 5 shows the phase plot of APF. These SPICE siulated Copyright 3 SciRes.

3 6 K. L. PUSHKAR ET AL. results, thus, confir the validity of the proposed biquad filter. The CMOS D-DIBA is ipleented usg.35 µ MIETEC real transistor odels which are listed Table. Aspect ratios of transistors used Figure 3 are given Table. A coparison with other previously known sgle active eleent/device-based MISO-type universal biquads has been shown Table Conclusion A new second-order voltage-ode MISO-type universal + - I + + DDI (+) BA W I - - Z I Z Z (a) I W W + (v Z-v ) - I Z Z Figure. (a) Sybolic notation; (b) Equivalent odel of D-DIBA. - w D-DIBA + ( +) I v R C C Figure. The proposed voltage-ode universal biquad. 3 (b) o w Table..35 µ MIETEC real transistor odels paraeters. NMOS PMOS LEEL = 3 LEEL = 3 TOX = 7.9E 9 NSUB = E 7 TOX = 7.9E 9 NSUB = E 7 GAMMA = GAMMA =.8389 PHI =.7 PHI =.7 TO =.5559 TO =.767 DELTA = DELTA = UO = UO =.398 ETA = ETA = E THETA =.7968 THETA =.77 KP =.55786E MAX = 8.39E KP = E 5 MAX =.855E 5 KAPPA =.578 KAPPA =.5 RSH = RSH = NFS = E TPG = XJ = 3E 7 LD = 3.678E NFS = E TPG = XJ = E 7 LD = 5.E 3 WD = 7.67E 8 CGDO =.8E CGSO =.8E CGBO = E CJ = E 3 WD =.987E 7 CGDO = 3.9E CGSO = 3.9E CGBO = E CJ =.958E 3 PB = PB = MJ =.385 MJ =.5 CJSW = E CJSW =.835E MJSW =.3587 MJSW =.5 Table. Aspect ratios of transistors used Figure 3. Transistor W/L (µ) M -M 6 35/.35 M 7 -M 9 56/.35 Figure 3. Proposed CMOS ipleentation of D-DIBA, DD = SS =, B =.5, B =.5, B3 =.6 and B =.3. M -M 8./.5 M 9 -M.5/.35 Copyright 3 SciRes.

4 K. L. PUSHKAR ET AL. 7.9 oltage Ga BRF LPF BPF APF HPF Frequency (H) Figure. Frequency response Phase (degree) Frequency (H) Figure 5. Phase plot of APF. Table 3. Coparison with other previously known sgle active eleent/device-based MISO-type universal biquads. Reference No. of active coponents No. of capacitors No. of resistors Requireent of atchg condition(s) Nuber of standard filter realied [] Yes Five [] 3 Yes Five [3] Yes Five [] Yes Five [5] Yes Five [6] 3 Yes Five [7] Yes Five [8] 3 Yes Five Proposed YES Five Copyright 3 SciRes.

5 8 K. L. PUSHKAR ET AL. biquad filter has been presented. The proposed configuration eploys sgle D-DIBA with iu nuber of passive eleents, naely two capacitors and only one resistor. The presented biquad can yield second-order low pass, high pass, band pass, notch and all pass filter responses without alterg the circuit topology. The passive and active sensitivities are low. Siulation results usg.35 µ MIETEC technology have been presented which prove the feasibility of the proposed new biquad filter. REFERENCES [] J. Sirirat, W. Tangsrirat and W. Surakapontorn, oltage-mode Electronically Tunable Universal Filter Eployg Sgle CFTA, International Conference on Electrical Engeerg/Electronics Coputer Telecounications and Inforation Technology, Chag Mai, 9- May, pp [] D. Prasad, D. R. Bhaskar and A. K. Sgh, Multi-Function Biquad Usg Current Differencg Transconductance Aplifier, Analog Integrated Circuits and Signal Processg, ol. 6, No. 3, 9, pp doi:.7/s [3] J. W. Horng, oltage/current-mode Universal Biquadratic Filter Usg Sgle CCII+, Indian Jouranal of Pure & Applied Physics, ol. 8, No.,, pp [] A. U. Kesk, Multi-Function Biquad Usg Sgle CDBA, Electrical Engeerg, ol. 88, No. 5, 6, pp doi:.7/s--89- [5] S. A. Bashir and N. A. Shah, oltage Mode Universal Filter Usg Current Differencg Buffered Aplifier as an Active Device, Circuits and Systes, ol. 3, No. 3,, pp. -. [6] N. Herencsar, J. Koton, K. rba and O. Cicekoglu, Sgle UCC-NB 5 Device as a Modified CFOA and Its Application to oltage- and Current-Mode Universal Filters, Applied Electronics, Pilsen, 9- Septeber 9, pp [7] N. A. Shah, M. F. Rather and S. Z. Iqbal, A Novel oltage-mode Universal Filter Usg A Sgle CFA, Active and Passive Electronic Devices, ol., 5, pp [8] J. W. Horng, C. K. Chang and J. M. Chu, oltage-mode Universal Biquadratic Filter Usg Sgle Current-Feedback Aplifier, IEICE Transactions on Fundaentals, ol. 85, No. 8,, pp [9] D. Biolek, R. Senani,. Biolkova and Z. Kolka, Active Eleents for Analog Signal Processg, Classification, Review and New Proposals, Radioengeerg, ol. 7, No., 8, pp [] D. Biolek and. Biolkova, First-Order oltage-mode All-Pass Filter Eployg One Active Eleent and One Grounded Capacitor, Analog Integrated Circuits and Signal Processg, ol. 65, No., 9, pp [] D. Prasad, D. R. Bhaskar and K. L. Pushkar, Realiation of New Electronically Controllable Grounded and Floatg Siulated Inductance Circuits Usg oltage Differencg Differential Input Buffered Aplifiers, Active and Passive Electronic Coponents, ol.,, Article ID: 3. doi:.55//3 Copyright 3 SciRes.