CA2260915A1 - A method and device for continuous-time filtering in digital cmos process - Google Patents

A method and device for continuous-time filtering in digital cmos process Download PDF

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Publication number
CA2260915A1
CA2260915A1 CA002260915A CA2260915A CA2260915A1 CA 2260915 A1 CA2260915 A1 CA 2260915A1 CA 002260915 A CA002260915 A CA 002260915A CA 2260915 A CA2260915 A CA 2260915A CA 2260915 A1 CA2260915 A1 CA 2260915A1
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Canada
Prior art keywords
pole
current
digital cmos
cmos process
continuous
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Abandoned
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CA002260915A
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French (fr)
Inventor
Nianxiong Tan
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Telefonaktiebolaget LM Ericsson AB
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Individual
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Classifications

    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03FAMPLIFIERS
    • H03F3/00Amplifiers with only discharge tubes or only semiconductor devices as amplifying elements
    • H03F3/34DC amplifiers in which all stages are DC-coupled
    • H03F3/343DC amplifiers in which all stages are DC-coupled with semiconductor devices only
    • H03F3/345DC amplifiers in which all stages are DC-coupled with semiconductor devices only with field-effect devices
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03HIMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H11/00Networks using active elements
    • H03H11/02Multiple-port networks
    • H03H11/04Frequency selective two-port networks
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03HIMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H11/00Networks using active elements
    • H03H11/02Multiple-port networks
    • H03H11/04Frequency selective two-port networks
    • H03H11/0422Frequency selective two-port networks using transconductance amplifiers, e.g. gmC filters
    • H03H11/0427Filters using a single transconductance amplifier; Filters derived from a single transconductor filter, e.g. by element substitution, cascading, parallel connection
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03FAMPLIFIERS
    • H03F2200/00Indexing scheme relating to amplifiers
    • H03F2200/331Sigma delta modulation being used in an amplifying circuit

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Networks Using Active Elements (AREA)
  • Amplifiers (AREA)

Abstract

In a digital CMOS process neither resistors nor linear capacitors are available and it is not possible or simply not practical to design continuoustime filters using traditional methods. It has therefore been proposed to utilize current mirrors to realize filtering functions in a voltage-to-current converter when designing continuous-time filters for sampled data systems in digital CMOS processes. The pole frequency is therefore determined by the transconductance of an MOS transistor (6) and the capacitance of a capacitor (8) seen at its gate. In this application, a generalized method of designing continuous-time filters in digital CMOS process and methods of cascading have been proposed to reduce the spread of the pole frequencies.

Description

CA 0226091~ l999-01-l~

W098/0~38 PCT/SE97/01169 A METHOD AND DEVICE FOR CONTINUOUS-TIME FILTERING IN DIGITAL
CMOS PROCESS

FIELD OF THE INVENTION

The present invention relates to a method for continuous-time filtering in digital CMOS process and a device ror continuous-time filtering in digital CMOS process.

BACKGROUND OF TEE INVENTION

It is of importance to design a mixed analog/digital system in digital CMOS process concerning processing cost, testing cost and performance. There has been strong interect in designing sampled data systems, e.g. switched-current filters and data converter in digital CMOS processes, see for example C.
Toumazou, J.B. Hughes, and N.C. Battersby (E~s), "Switched-Currents: an Analogue Technique for Digital Technology,", Peter Peregrinus Ltd., 1993, and N. Tan, "Switched-current delta-sigma A/D converters", J. Analog Integrated Circu~ts and Signal Processing, Jan. 1996, pp 7-24. However, to utilize these kind of techniques, antialiasing filters are usually needed before sampling the analog input in order to avoid aliasing.
Traditionally, a separate chip using analog C~OS process or discrete RC filter circuitry is used. Obviously, integrating the continuous-time filters, or antialiasing filters with sampled data systems and DSP circuits on the same chip offers the best performance/cost ratio.

In, for example, N. Tan and M. Gustavsson, Voltage-to-current converter", pending US patent application No. 08/646,964, May 8, CA 0226091~ Ig99-01-1~

1996, a method was specifically developed to realize a low-pass filtering function embedded with a voltage-to-current conversion.

In, for example, US-A-4,839,542 there are disclosed active transconduc-tance.filters, which belong to a filter type which is called a transconductance-capacitance (gm-C) filter. The basic idea is to create poles by using linear capacitors and transconductors. As for most active components, current mirrors are used as active loads for the transconductors and current mirrors are not utilized to create poles for any filtering purposes.

In W095/06977, current mirrors are disclosed and only used as active loads to increase the gain for the amplifier. As a matter of fact, for most gain stages, current mirrors are used as active loads to increase the gain.

In US-A-4,686,487 there is disclosed how to design current mirrors for amplifiers in order to have high speed operation.
The pole due to the current mirror is parasitic and the means of adding a resistor is invented to reduce the effect on high speed operation.

SIJ~$ARY OF THE INVENl~ION

The invention relates preferably to the design of continuous-time filters for sampled data systems in digital CMOS processes.
In a digital CMOS process neither resistors nor linear capacitors are available. Therefore it is not possible or simply not practical to design continuous-time filters using CA 0226091~ Ig99-01-1~

traditional methods. It has been proposed to utilize current mirrors to realize filtering functions in a voltage-to-current converter. The pole frequency is therefore determined by the ~ transconductance of an MOS transistor and the capacitance seen at its gate. In this application, a generalized method of designing continuous-time filters in digital CMOS process and methods of cascading have been proposed to reduce the spread of the pole frequencies.

BRIEF DESCRIPTION OF THE DRAWINGS

Fig. l is a circuit showing a basic current mirror as a single-pole filter.
Fig. 2 is a graph showing SPICE simulation results of fig. l, wherein cascode current mirrors and cascode current sources are used and the capacitor is realized by NMOS transistors.
Fig. 3 a and b are circuits showing cascading techniques according to the invention.
Fig. 4 is a graph showing SPICE simulation results of fig. 3b, wherein cascode current mirrors and cascode current sources are used and the capacitors are realized by NMOS transistors.

BRIEF DESCRIPTION OF THE PREFERRED EMBODIMENTS

In digital CMOS processes, neither resistors nor linear capacitors are available. Though it is possible to utilize the gate poly as resistors, the sheet resistance is very small and has large variation for a sub-micro CMOS process, and well resistors are sensitive to noise and have large variation as well. Therefore, active components are intended to be used, i.e.
transistors, to realize resistance. Though it is possible to CA 0226091~ 1999-01-1~

utilize the single poly layer and metallizations to realize a linear capacitor, the sheet capacitance is very small in a sub-micron CMOS process. Therefore, the gate capacitance is intended to be utilized, which has much larger sheet capacitance. The basic current mirror used as a single-pole low pass filter is shown in ~ig. 1.

The capacitor C0 1 can be realized by a gate capacitor on chip, or realized hy an off-chip capacitor, if the cut-off frequency of the filter is required to be very low. By properly dimensioning the sizes of transistors Mo 2 and Ml 3 and their associated bias currents ~, 5, a scaling factor can also be realized within this filter.

The pole frequency of the single-pole filter shown in fig. 1 is given by g",o fo 2~ C0+ Cp0 where gm0 is the transconductance of the diode-connected transistor Mo 2 and Cp0 represents all the parasitics at the gate of transistor Mo 2.

The nonlinearities in the transconductances do not introduce distortion in the output current as long as the transconductances of Mo 2 and Ml 3 are matched or constantly rationed. However, nonlinearities in the capacitance can introduce error in the output current. Though the gate capacitance is highly nonlinear across the whole operation region, in a current mirror configuration as shown in fig. 1, CA 0226091~ Ig99-01-1~

the gate voltage change is quite limited, making the transistors operate in a well specified region all the time. Therefore, the gate capacitance does not vary dramatically and the linearity is acceptable. When external capacitors are used, linearity can also be guaranteed.

However, the transconductance of a transistor is dependent of the drain current, i.e., W
g~ 2~L"C,~T LiD, where ~n is the channel charge mobility, COX is the unit gate capacitance, W/L is the transistor size, and iD is the drain current. Therefore, when the drain current in transistor Mo 2 changes accommodating input current Io~ the transconductance gmO
changes, making the pole frequency change. In fig. 2 it is shown the SPICE simulation results, when the input current changes between +0,5 IbiasO

It can be seen that the circuit of fig. l is a single-pole system, having 20 dB/dec frequency roll-off. And the change in the 3-dB frequency is well in line with the prediction given by the equation of transconductance. The change in the pole frequency also introduces distortion, when the input signal frequency approaches the cut-off frequency, in that a different input amplitude experiences a different attenuation.

The simulated total harmonic distortion is about -50 dB, when the input is a lO0 Khz sinusoidal with amplitude equal to one-fourth of the bias current. When the input freauency decreases CA 0226091~ Ig99-01-1~

to l0 Khz, the total harmonic distortion is less than -70 dB.
When the input frequency is larger than the cut-off frequency, the total harmonic distortion is attenuated by the filter itself.

obviously, to make the pole frequency well-defined, the change in the drain current is needed to be as small as possible. One way to do so is to limit the input current compared with the bias current. This is very power consuming. However, proper cascading realizing higher-order filters can reduce the variation in the pole frequencies.

To increase the filter order and reduce the variation in pole frequencies cascading of current mirrors can be used. A single-pole system only gives a 20-dB/dec roll-off. In many applications, sharper cut-off is needed. Cascading two single-pole systems realizes a two-pole system having a 40-dB/dec roll-off. Sharper cut-off can be realized by cascading more stages.
There are two possibilities of cascading as shown in fig. 3a and b.

The use of cascading shown in fig. 3a results in lower power consumption due to the use of the p-type branch. The n-type branch "l" consists of n-type transistors M0 6 and Ml 7, capacitor C0 8 and bias current IbiasO 9 for transistor M0 6.
The p-type branch "2" consists of p-type transistors M2 l0 and M3 ll capacitor Cl 12 and bias current Ibiasl 13 for M3 ll. The n-type branch is similar to the one shown in fig. l except that the bias current for Ml 7 is omitted due to the use of the p-type branch. Transistors Ml 7 and M2 l0 bias each other. The p-type branch is the same as the n-type except p-type transistors CA 0226091~ Ig99-01-1~

are used. However, this kind of cascading influences the pole frequencies. Suppose that input current Io is positive, then the drain current in Mo 6 increases making its transconductance to increase. Therefore, the pole frequency determined by the transconductance of Mo 6 and capacitor C0 8 will increase. At the same time, the drain current in M2 lO, equal to the drain current of M1 7, increases as well making its transconductance to increase. Therefore, the pole frequency determined by the transconductance of M2 lO and the capacitance of Cl 12 will increase as well. The combined effect is that the pole frequencies vary more rapidly as the input current varies.

The cascading technique shown in fig. 3 b results in more power consumption due to an extra n-type branch. It consists of two n-type branches "l" and "2", which are exactly the same as the oneshown in fig. l. However, it has a big advantage stabilizing the pole frequencies. Suppose that input current Io is positive, then the drain current in M0 6 increases making its transconductance increase. Therefore, the pole frequency determined by g~0/C0 will increase. At the same time, the drain current in M2 lO decreases making its transconductance decrease.
Therefore, the pole frequency determined by g~2/C1 will decrease.
The combined effect is that the variations in the two pole frequencies tend to reduce the total variation.
In fig. 4 the SPICE simulation results are shown, when the input current changes between +0,5 Ibiaso.

It can be seen that the circuit of fig. 3b is a two-pole system, having 40-dB/dec frequency roll-off. And the change in the variation in the 3-dB frequency is reduced considerably.

CA 0226091~ I999-ol-l~

The simulated total harmonic distortion is less than - 60 dB, when the input is a 100 Khz sinusoidal with amplitude equal to one-fourth of the bias current. When the input frequency decreases to 10 Khz, the total harmonic distortion is less than -80 dB. When the input frequency is larger than the cut-off frequency, the total harmonic distortion is attenuated by the filter itself.

While the foregoing description includes numerous details and specificities, it is to be understood that these are merely illustrative of the present invention, and are not to be construed as limitations. Many modifications will be readily apparent to those skilled in the art, which do not depart from the spirit and scope of the invention as defined by the appended claims and their legal equivalents.

Claims (3)

1. A device for continuous-time filtering in a digital CMOS
process, where current mirrors are used to realize continuous-time filters in a digital CMOS process and pole frequencies are determined by a transconductance of an MOS transistor and a capacitance of a capacitor seen by its gate, wherein the capacitance defining the pole frequency can take any form including an off-chip capacitor, characterized in that a current mirror consisting of transistors M0 (6), M1 (7) and a gate capacitor or off-chip capacitor C0 (8) are used to determine the pole frequency.
2. A device according to claim 1, characterized in that two or more current mirrors are provided to be cascaded to realize higher order filters and in that n-type ("1") and p-type ("2") current mirrors are provided to be alternate to save power dissipation.
3. A device according to claim 1, characterized in that two or more current mirrors are provided to be directly cascaded to realize higher order filters and to reduce the spread in pole frequencies by only using n-type or p-type current mirrors.
CA002260915A 1996-07-19 1997-06-27 A method and device for continuous-time filtering in digital cmos process Abandoned CA2260915A1 (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
SE9602824A SE508697C2 (en) 1996-07-19 1996-07-19 Method and apparatus for time continuous filtration in digital CMOS process
SE9602824-6 1996-07-19
PCT/SE1997/001169 WO1998004038A1 (en) 1996-07-19 1997-06-27 A method and device for continuous-time filtering in digital cmos process

Publications (1)

Publication Number Publication Date
CA2260915A1 true CA2260915A1 (en) 1998-01-29

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EP (1) EP0913029A1 (en)
JP (1) JP2000514980A (en)
KR (1) KR20000065251A (en)
CN (1) CN1108658C (en)
AU (1) AU3563797A (en)
CA (1) CA2260915A1 (en)
HK (1) HK1021595A1 (en)
SE (1) SE508697C2 (en)
TW (1) TW349264B (en)
WO (1) WO1998004038A1 (en)

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Publication number Priority date Publication date Assignee Title
WO2011004512A1 (en) * 2009-07-08 2011-01-13 パナソニック株式会社 Filter circuit and optical disc device provided with same
US8502597B2 (en) * 2009-10-21 2013-08-06 Qualcomm, Incorporated Low-pass filter design
US20140010783A1 (en) 2012-07-06 2014-01-09 Hoffmann-La Roche Inc. Antiviral compounds
MX2015009176A (en) 2013-01-23 2015-11-09 Hoffmann La Roche Antiviral triazole derivatives.
MX2015011193A (en) 2013-03-05 2015-11-13 Hoffmann La Roche Antiviral compounds.
CN104679095A (en) * 2015-02-15 2015-06-03 格科微电子(上海)有限公司 Current source, current source array, read-out circuit, control method of read-out circuit and amplification circuit
US11296678B1 (en) * 2020-12-29 2022-04-05 Qualcomm Incorporated Complementary current-mode biquad with high linearity

Family Cites Families (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4839542A (en) * 1984-08-21 1989-06-13 General Datacomm Industries, Inc. Active transconductance filter device
US4686487A (en) * 1986-07-28 1987-08-11 Commodore Business Machines, Inc. Current mirror amplifier
EP0600141B1 (en) * 1992-10-30 1997-03-05 SGS-THOMSON MICROELECTRONICS S.p.A. Transconductor stage
WO1995006977A1 (en) * 1993-09-02 1995-03-09 National Semiconductor Corporation Active impedance termination

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Publication number Publication date
AU3563797A (en) 1998-02-10
KR20000065251A (en) 2000-11-06
EP0913029A1 (en) 1999-05-06
JP2000514980A (en) 2000-11-07
TW349264B (en) 1999-01-01
HK1021595A1 (en) 2000-06-16
CN1225759A (en) 1999-08-11
SE9602824L (en) 1998-01-20
SE9602824D0 (en) 1996-07-19
SE508697C2 (en) 1998-10-26
CN1108658C (en) 2003-05-14
WO1998004038A1 (en) 1998-01-29

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