A Systematic Synthesis for High-OrderSquare-Root Domain Filters with Reduced Voltage

A systematic synthesis for high-order square-root domain filter (SRD) based on the quadratic I-V relationship for an MOSFET operated in saturation region is presented in this paper. Emphases are placed on the methodology of filter synthesis, the constructive settings of DC components for input signals, the DC voltages of the state-space variables, and the DC bias current I 0 . The proposed prototypes of square-root domain filters are able to overcome the possible inequality between the input and output node of DC level, in which improve the reliability of high-order filter implementation. Furthermore, by means of adjusting the range of the DC bias current I 0 in the acceptable boundary, the center frequency f 0 or 3 dB frequency f 3dB of the proposed prototypical circuits of SRD filters are not only attainable at megahertz frequencies but also tunable electronically. Simulations are performed with the model of a 0.25 μm CMOS process at 1.5 V supply voltage. The simulated results, which provide that the average errors of frequency response are smaller than 1.0%, demonstrate the validity of the proposed synthetic technique. The synthesized filters have the features of high frequency operation, tuneability, extensibility, and low power consumption. [Life Science Journal. 2010; 7(1): 15-29] (ISSN: 1097 – 8135)

[1]  Antonio J. López-Martín,et al.  Current-Mode Multiplier/Divider Circuits Based on the MOS Translinear Principle , 2001 .

[2]  Robert W. Adams,et al.  Filtering in the Log Domain , 1979 .

[3]  Jan Albert Mulder,et al.  Current-mode companding √x-domain integrator , 1996 .

[4]  Michiel Steyaert,et al.  Low-voltage analog CMOS filter design , 1993, 1993 IEEE International Symposium on Circuits and Systems.

[5]  Alfonso Carlosena,et al.  1.5 V CMOS companding filter , 2002 .

[6]  Hakan Kuntman,et al.  Accurate and high output impedance current mirror suitable for CMOS current output stages , 1997 .

[7]  Chun-Yueh Huang,et al.  A low-voltage low-power log-domain band-pass filter , 2003, 2003 International Symposium on VLSI Technology, Systems and Applications. Proceedings of Technical Papers. (IEEE Cat. No.03TH8672).

[8]  Chun-Yueh Huang,et al.  Design of log domain low-pass filters by MOSFET square law , 2000, Proceedings of Second IEEE Asia Pacific Conference on ASICs. AP-ASIC 2000 (Cat. No.00EX434).

[9]  Sudhanshu Shekhar Jamuar,et al.  Low voltage, low power, high performance current mirror for portable analogue and mixed mode applications , 2001 .

[10]  P. Heim,et al.  MOS cascode-mirror biasing circuit operating at any current level with minimal output saturation voltage , 1995 .

[11]  Naresh K. Sinha,et al.  Control Systems , 1986 .

[12]  S. Pookaiyaudom,et al.  State-space synthesis of oscillators based on the MOSFET square law , 1996 .

[13]  C. Toumazou,et al.  Analogue micropowered log-domain tone controller for auditory prostheses , 1998 .

[14]  Norman S. Nise,et al.  Control Systems Engineering , 1991 .

[15]  Tetsuro Itakura,et al.  High Output-Resistance CMOS Current Mirrors for Low-Voltage Applications , 1997 .

[16]  M. Eskiyerli,et al.  “Square Root Domain” Filter Design and Performance , 2000 .

[17]  C. Toumazou,et al.  Log-domain filters, translinear circuits and the Bernoulli cell , 1997, Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97.

[18]  Antonio J. López-Martín,et al.  Systematic Design of Companding Systems by Component Substitution , 2001 .

[19]  Yannis Tsividis,et al.  Externally linear, time-invariant systems and their application to companding signal processors , 1997 .

[20]  Chun-Yueh Huang,et al.  Design of Current-Mode Square-Root Domain Band-Pass Filter with Reduced Voltage , 2005 .

[21]  A. Carlosena,et al.  A 1.5 V CMOS square-root domain filter , 2001, ICECS 2001. 8th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.01EX483).

[22]  D. R. Frey,et al.  Log-domain filtering: An approach to current-mode fil-tering , 1993 .

[23]  C. Toumazou,et al.  "Log-domain state-space": a systematic transistor-level approach for log-domain filtering , 1999 .

[24]  Wouter A. Serdijn,et al.  High-swing cascode MOS current mirror , 1996 .

[25]  Chun-Yueh Huang,et al.  Design of Square-Root Domain Filters , 2005 .

[26]  D. Frey Exponential state space filters: a generic current mode-design strategy , 1996 .

[27]  Emmanuel M. Drakakis,et al.  Log-domain filtering and the Bernoulli cell , 1999 .

[28]  Michael M. Green,et al.  CMOS current mirrors with reduced input and output voltage requirements , 1996 .

[29]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[30]  R.G. Carvajal,et al.  The flipped voltage follower: a useful cell for low-voltage low-power circuit design , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[31]  A. Carlosena,et al.  A 3.3 V tunable current-mode square-root domain biquad , 2000, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353).

[32]  Christofer Toumazou,et al.  Micropower log-domain filter for electronic cochlea , 1994 .

[33]  Gabriel A. Rincon-Mora,et al.  Designing 1-V op amps using standard digital CMOS technology , 1998 .