WO2002023723A1 - A gmc filter and method for suppressing unwanted signals introduced by the filter - Google Patents
A gmc filter and method for suppressing unwanted signals introduced by the filter Download PDFInfo
- Publication number
- WO2002023723A1 WO2002023723A1 PCT/US2001/042058 US0142058W WO0223723A1 WO 2002023723 A1 WO2002023723 A1 WO 2002023723A1 US 0142058 W US0142058 W US 0142058W WO 0223723 A1 WO0223723 A1 WO 0223723A1
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- signal
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- coefficients
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- filter
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
- H03H9/00—Networks comprising electromechanical or electro-acoustic devices; Electromechanical resonators
- H03H9/46—Filters
-
- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03G—CONTROL OF AMPLIFICATION
- H03G7/00—Volume compression or expansion in amplifiers
- H03G7/06—Volume compression or expansion in amplifiers having semiconductor devices
- H03G7/08—Volume compression or expansion in amplifiers having semiconductor devices incorporating negative feedback
-
- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
- H03H11/00—Networks using active elements
- H03H11/02—Multiple-port networks
- H03H11/04—Frequency selective two-port networks
- H03H11/0422—Frequency selective two-port networks using transconductance amplifiers, e.g. gmC filters
- H03H11/0461—Current mode filters
Definitions
- This invention relates generally to a differential analog circuit and, more particularly, to a high speed G m C integrated filter.
- Transconductor-capacitor (G m C) filters are typically continuous wave filters used in communications systems.
- a transconductor is an element that delivers an output current i that is proportional to the input signal voltage V .
- V input signal voltage
- g m the transconductance of the element. In general, the larger the transconductance, the greater the gain.
- Transconductance is defined as the ratio of the change in collector current (Ic) to the change in input voltage. If die represents a change in collector or drain current caused by a small change in input voltage (Vj n ), then the transconductance is:
- FIG. 1 is a diagram that illustrates a differential-pair transconductance stage as commonly used in many RF building blocks, such as low- noise amplifiers and mixers.
- an impedance Z e may be implemented using resistors, capacitors, or inductors usually connects transistors of the transconductance stages.
- the G m C filter may be an important building block of a receiver.
- G m C filters introduce noise that must be considered in the design of the filter architecture.
- circuit designers include circuitry to compensate for the noise characteristic, and/or utilize large bias currents to reduce the impact of noise. Adding circuitry to compensate for the introduced noise results in increased die size and, hence, increases design and manufacture costs.
- Providing large current sources to compensate for noise added by the G m C filter has the side effect of shortening the life of the devices that utilize the filter. For example, a battery of a cellular phone may last longer if a large current source was not necessary to suppress the noise introduced by the filter.
- This invention provides a circuit for suppressing unwanted signals introduced by a G m C filter compression stage.
- the compression stage is implemented by coupling the output of the compression stage to the input of a first decompression stage, which is termed a feedback portion.
- the output of the first decompression stage is coupled to the input of the compression stage.
- the output of the compression stage is coupled to the input of a second decompression stage, which is termed a feedforward portion.
- This circuit utilizes the same compression stage for both the feed back and feed forward portions of the G m C filter. By utilizing the same compression stage for the feed back and the feed forward, unwanted noise and dc offsets introduced by the compression stage of the G m C filter are suppressed.
- FIG. 1 is a circuit diagram illustrating a prior art differential pair transistor circuit whose transconductance is defined by its degeneration resistors.
- FIG. 2 is a circuit diagram illustrating a simplified receiver.
- FIG. 3 is a circuit diagram illustrating a simplified architecture of a G m C filter of the receiver of FIG. 2.
- FIG. 4 is a circuit diagram illustrating a simplified system diagram of the G m C filter of FIG. 3.
- FIG. 5 is a circuit diagram illustrating a simplified architecture of a prior art
- FIG. 6 is a circuit diagram illustrating a simplified system diagram of the G m C filter of FIG. 5.
- FIG. 7 is a circuit diagram illustrating a two-pole G m C filter.
- FIG. 2 is a circuit diagram showing an embodiment of a receiver system 200 that functions to isolate a received signal 202.
- a discrete component RF front-end filter 204 serves to remove out-of-band energy and rejects image-band signals.
- LNA low noise amplifier
- the entire signal spectrum, including both wanted and unwanted signal energy is frequency translated to a fixed intermediate frequency (IF) by mixers 208 and 210 utilizing a local oscillator (LO) 212 that is tuned to a desired carrier frequency.
- IF intermediate frequency
- mixers 208 and 210 utilizing a local oscillator (LO) 212 that is tuned to a desired carrier frequency.
- LO local oscillator
- a selected received channel has been translated to the same predetermined IF frequency. Because the desired carrier at IF is typically frequency translated to the same intermediate frequency, baseband filters 218 and 220 may now be used to remove signal energy in alternate I and Q channels. After baseband filters 218 and 220, the desired signal is amplified using a variable gain amplifier (VGA) (222, 224, 226 and 228) to adjust the amplitude of the desired signal. Filters (230, 232, 234 and 236) implemented using the novel G m C architecture further process the desired signal. At the output of the receiver system 200 is the processed received signal 202 in alternate R X I 58 and R X Q 60 channels.
- VGA variable gain amplifier
- a second mixer (not shown) that shifts the desired signal to a low or zero IF may follow a particular set of IF filters.
- baseband filters (218 and 220) may be used to remove signal energy in alternate I and Q channels.
- the receiver is direct conversion, as in the exemplary embodiment, or is of the heterodyne type, it is desirable to filter adjacent I and Q channels using tunable base-band filters, such as G m C filters.
- FIG. 3 illustrates a system diagram of a G m C filter 300 of an exemplary embodiment of the invention.
- the G m C filter 300 shown in FIG. 3 receives a current mode input signal Ii n and includes a capacitor Cl, a differential emitter transistor circuit (also referred to in later sections as a compression stage) 302, a first emitter coupled transistor circuit 304, and a second emitter coupled transistor circuit 306.
- the first and second emitter coupled transistor circuits 304, 306 may also be referred to as decompression stages.
- a single compression stage may drive more than two decompression stages.
- One advantage of using the same compression stage to drive more than one decompression stage is that circuitry is reduced. By reducing circuitry, the current consumed by the G m C filter 300 is decreased over prior art filter architectures, such as shown in FIG. 5.
- FIG. 4 is an illustrative circuit diagram of the G m C filter 300 of FIG. 3.
- the differential emitter transistor circuit 400 may have transistors Ql and Q2, emitter degeneration resistors Rl and R2, constant current sinks II and 12 and diodes Dl and D2. Emitters of the transistors Ql and Q2 are each connected to the current sinks II and 12, respectively. Collector electrodes of the transistors Ql and Q2 are each connected to diodes Dl and D2, respectively. I ⁇ as represents a total current passing through current sinks II and 12.
- the emitter degeneration resistors Rl and R2 are connected between the emitter electrodes of the transistors Ql and Q2.
- R e represents the resistance of the emitter degeneration resistors Rl and R2.
- circuit 400 may also include other impedance inducing devices, such as inductors and capacitors. Substituting various impedance inducing devices into circuit 400 may provide a number of equivalent circuits. However, substituting various impedances for the resistors may be understood to change the frequency response of the circuit 400.
- the first emitter coupled transistor circuit 402 may have transistors Q3 and Q4 and a constant current sink 13. Emitters of the transistors Q3 and Q4 are each connected to constant current sink 13.
- the second emitter coupled transistor circuit 12 may have the emitters of the transistors Q5 and Q6 connected to a constant current sink 14, as shown. Emitters of the transistors Q5 and Q6 are each connected to the current sink 14.
- I tune represents a current passing through current sink 13 which is also the current passing through current sink 14.
- the current-mode input I m is converted to voltage N m by the impedance of the capacitor Cl.
- the voltage N. supplies an input voltage between base electrodes of the transistors Ql and Q2 of the transistor circuit 400, as shown.
- the transistors Ql and Q2 with emitter degeneration resistors Rl and R2 (together often referred to as a degenerated differential pair) convert the voltage N m to a current.
- the diodes Dl and D2 convert the current to a compressed voltage, N CO mp (shown in FIG. 4 as the potential between N COm p + and N COm p-)- Since circuit 400 produces a compressed voltage, V comp , it is termed a compression stage.
- the compressed voltage, N COm p supplies a voltage between base electrodes of the transistors Q3 and Q4. Emitters of the transistors Q3 and Q4 are each connected to the current sink 13.
- the collector electrodes of the transistors Q3 and Q4 provide a decompressed feedback current Ifeedback (shown in FIG. 3 as If ee dback+ and If ee dback-)- Since circuit 402 produces a decompressed current, Ife ed back, it is termed a decompression stage.
- circuit 402 current I feedback is fed back through the compression stage of circuit 400 to produce an effect upon the compressed voltage N com p-
- the compressed voltage V CO mp also supplies a voltage between base electrodes of transistors Q5 and Q6.
- the collector electrodes of the transistors Q5 and Q6 provide a decompressed current I out - Since circuit 404 produces a decompressed current, I out , it is also termed a decompression stage.
- the loop formed by feeding current If eedb ac k back into the input of the compression stage cancels low-frequency noise and DC offsets introduced by other components of the circuit 400 including Ql, Q2, Rl, R2, Dl, D2, and especially bias sources II and 12.
- the output current is roughly equal to the input current when the filter 300 operates at low frequencies (i.e. below corner of filter).
- Ij n is the input current which through the feedback action of the filter is rouglily equal to I out for in-band signals.
- the combination of the compression stage 400 with decompression stages 402 and 404 provides a highly linear transconductance filter 300 that is substantially limited by the linearity of the compression stage 400.
- the value of the transconductance is given by a ratio of Ibi as to It u n e and the degeneration resistance Re.
- the filter 300 is current tunable by varying I ⁇ n e relative to I i a s-
- the filter 300 may be tuned by the appropriate selection of current sinks 13, 14.
- the combination of the compression stage 400 with decompression stages 402 and 404 is commonly referred to as a two-quadrant Gilbert multiplier.
- Such multipliers generate the linear product of two input signals. For example, Ifee db ack is the product of the differential output current from Ql and Q2 by the ratio of Ibias to Itune-
- Equation (1) relates the differential current I CO mp of the collectors of transistors Ql and Q2 to circuit parameters N m , R e and g m .
- equation (1) simplifies to equation (2).
- R is usually greater than l/g m .
- the differential current I comp may be expressed as a function of the voltage across the bases of transistors Ql and Q2 over the resistance between the emitters of the transistors Ql and Q2. Equation (3) below expresses differential voltage N COm p of collector potentials
- V Com p + and N com p- of the transistors Ql and Q2 as the difference in voltage across the diodes Dl and D2.
- the potential across the diodes is the difference between N CO mp and N cc .
- Vc comp ⁇ ' comp + -—V Vcccomp where
- Equation 3 Simplification yields the following relationship.
- equation (2) Substituting equation (2) into equation (4) and noting that the sum of I CO mp+ and I CO mp- is Ibias yields equation (5).
- Vcomp 2 * V t * tanh
- Equation 5 The voltage at the collectors of the compression stage is expressed as a hyperbolic tangent function of the ratio of the input voltage to degeneration voltage (i.e. R e * I b i a s) multiplied by the thermal voltage of the transistors Ql and Q2, namely N t .
- I feedback I ⁇ * ⁇ M-
- signal processing within the differential emitter transistor circuit 400 and first and second emitter coupled transistor circuits 402 and 404 are related by tanh and tanh"! functions.
- Signal processing within the differential emitter transistor circuit 400 using the tanh"! function results in an effective compression of the signal using a first set of coefficients.
- Processing of the compressed signal subsequently occurs within the first and second emitter coupled transistor circuits 402 and 404.
- the first and second emitter coupled transistor circuits 402 and 404 effectively decompress the signal using the tanh function and a second set of coefficients. In effect compression within a first compression stage 400 occurs with a predetermined bias current, namely II and 12, which determines the first set of compression coefficients.
- the compressed signal When the compressed signal is decompressed in decompression stages 402 and 404, it is decompressed with some other amount of bias current, namely 13 and 14 resulting in the second set of coefficients.
- the result is a gain that is controlled by those two bias currents, linearly.
- the result is a gain that is controlled by the bias currents, II, 12, 13, and 14. Assuming that II and 12 are related to Ibias and 13 and 14 are equal to Itun e , then the gain is controlled by the two bias currents, Ibias and I ⁇ e .
- Compression and decompression inherently refers to the effect of the tanh and tanh" 1 functions and the relationship of coefficients caused by the related set of bias currents.
- the bias currents may be used to tune the gains of the compression and decompression stages while still achieving a high degree of linearity.
- the filter 300 may be analyzed through an assumption of linearity, because while the compression stage 400 and decompression stages 402 and 404 are each highly nonlinear in isolation, when used in conjunction (i.e., with a compression stage 400 providing the input to decompression stages 402 and 404) the overall behavior is highly linear.
- the compression stage 400 may be described as a voltage amplifier with the gain described by the term comp in the following relationship.
- the decompression stages 402, 404 may be linearized with the transconductance for circuit 402 described by the term tunel and the transconductance for circuit 404 described by the term tunel as follows.
- FIG. 3 illustrates a system diagram of one embodiment of the G m C filter 300 with unwanted noise and interference shown introduced as signal dl .
- Standard control theory may be used to show that for a system with negative feedback, as shown in FIG. 3, the forward transfer function may be defined by equation (11). ut _ Z c * comp * tunel I jn 1 + Z c * comp * tunel '
- the combined transconductance of the differential emitter transistor circuit 400 and first emitter coupled transistor circuit 402 is G m l and the combined transconductance of the differential emitter transistor circuit 400 and second emitter coupled transistor circuit 404 is G m 2.
- the relation of G m l and G m 2 may be as shown below.
- Transconductances G m l and G m 2 of the first and second stages may each be expressed by equations (12 and 13), respectively.
- Equation 13 Making the substitutions for G m l and G m 2, equation (11) simplifies to equation (14).
- FIG. 6 illustrates a system diagram of a prior art filter having two compression stages 600 and 602.
- the combined transconductance of the compression stage 600 and decompression stage 604 is Gml and the combined transconductance of the compression stage 602 and decompression stage 606 is Gm2.
- a perturbation may be introduced within each compression stage. For the example of FIG. 6 perturbations dl and d2 are introduced as shown.
- the output current due to such perturbations may provide a response as described by equation (15).
- Equation 15 DC offsets may be present in the output signal. Also, inband perturbations may also form a portion of the output signal, where inband is defined as frequencies less than G m l/(C*2 ⁇ ). Where only a single compression stage 400 is used (as in the G m C filter 300), only a single perturbation dl is present. The output due to perturbation dl may be described by equation (16).
- unwanted noise and dc-of sets may be strongly suppressed in the G m C filter 300 of the illustrated embodiment relative to desired in-band signals.
- the G m C filter 300 of FIG. 4 provides a number of benefits.
- a reduction in the number of compression stages reduces the number of devices and especially the number of resistors and matched current sources, which tend to consume significant die area.
- the filter 300 also has the potential of significantly reducing current consumption within signal processing devices. Each compression stage consumes current. Thus, a reduction in the number of compression stages may reduce the total amount of current consumed.
- the filter 300 reduces dc offset.
- the dc offsets causes by component mismatch in compression stages may be reduced and, in theory, completely cancelled out. This is important for two reasons. One reason is that a reduction in dc offset simply results in better performance. The other reason is that by easing the mismatch criteria for the compression stages, one reduces the amount of area consumed by resistors, current sources, etc.
- the filter 300 suppresses in-band noise generated in compression stages that drive feedback G m Cs.
- the advantage of suppressing in-band noise is especially important when the filter 300 requires transistors and metal oxide semiconductor (MOS) current sources are used.
- MOS metal oxide semiconductor
- Such devices generate flicker noise that is highest at signal frequencies close to dc and decreases in proportion to the inverse of frequency.
- flicker noise is especially well suppressed by an embodiment of this filter 300.
- Filter 300 can reduce sensitivity to coupling.
- the same mechanisms that reduce dc offset and noise also function to reduce coupling sensitivity.
- FIGS. 2-4 has been described with reference to a single-pole filter with feedback that includes only one capacitor, higher order filters and filters utilizing loops that contain two or more capacitors are also possible. Higher order filters allow for implementation of complex poles as is required in many classes of filters including Butterworth, Bessel, and order two and higher Chebychev filters.
- FIG. 7 illustrates a system diagram of an embodiment of a G m C filter with two poles.
- the two-pole filter includes a GmC filter, including compression stage 706 and two decompression stages 708 and 710, and a second compression stage 700 with two decompression stages 702 and 704.
- the forward transfer function may be defined as follows:
- the transconductance of the differential emitter transistor circuit 706 and first emitter coupled transistor circuit 708 is G m l and the transconductance of the differential emitter transistor circuit 706 and second emitter coupled transistor circuit 710 is G m 2.
- a transconductance of a second differential emitter circuit 700 and a third emitter coupled transistor circuit 702 is G m 3 and a transconductance of the second differential emitter circuit 700 and a fourth emitter coupled transistor circuit 704 is G m 4.
- Perturbations dl and d2 may be added at each compression stage 706 and 700.
- the output due to perturbations dl and d2 may be described as follows:
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Priority Applications (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
EP01971404A EP1320928B1 (en) | 2000-09-18 | 2001-09-07 | A gmc filter and method for suppressing unwanted signals introduced by the filter |
JP2002527051A JP5221834B2 (en) | 2000-09-18 | 2001-09-07 | GmC filter and method for suppressing unwanted signal derived by this filter |
KR1020037003892A KR100802832B1 (en) | 2000-09-18 | 2001-09-07 | A gmc filter and method for suppressing unwanted signals introduced by the filter |
Applications Claiming Priority (2)
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US09/663,848 US6483380B1 (en) | 2000-09-18 | 2000-09-18 | GMC filter and method for suppressing unwanted signals introduced by the filter |
US09/663,848 | 2000-09-18 |
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WO2002023723A1 true WO2002023723A1 (en) | 2002-03-21 |
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PCT/US2001/042058 WO2002023723A1 (en) | 2000-09-18 | 2001-09-07 | A gmc filter and method for suppressing unwanted signals introduced by the filter |
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US (1) | US6483380B1 (en) |
EP (1) | EP1320928B1 (en) |
JP (1) | JP5221834B2 (en) |
KR (1) | KR100802832B1 (en) |
CN (1) | CN100448168C (en) |
TW (1) | TW531959B (en) |
WO (1) | WO2002023723A1 (en) |
Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US9698738B2 (en) | 2015-02-13 | 2017-07-04 | Electronics And Telecommunications Research Institute | Bandpass filter providing wide gain control range |
Families Citing this family (10)
Publication number | Priority date | Publication date | Assignee | Title |
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KR100394318B1 (en) * | 2001-03-22 | 2003-08-09 | 주식회사 버카나와이어리스코리아 | An apparatus and a method for cancelling DC offset in Direct Conversion Transceiver |
EP1575160A1 (en) * | 2004-03-08 | 2005-09-14 | Matsushita Electric Industrial Co., Ltd. | Mixer circuit and receiver circuit using the same |
EP1612511B1 (en) * | 2004-07-01 | 2015-05-20 | Softkinetic Sensors Nv | TOF rangefinding with large dynamic range and enhanced background radiation suppression |
KR100614928B1 (en) * | 2005-08-17 | 2006-08-25 | 삼성전기주식회사 | Derivative superposition circuit for linearization |
US7598793B1 (en) * | 2008-03-21 | 2009-10-06 | Qualcomm Incorporated | Capacitance multiplier circuit |
CN101299599B (en) * | 2008-06-16 | 2011-12-28 | 华为技术有限公司 | Method, apparatus and system for acquiring calibration capacitance value of transconductance filter |
US7902894B2 (en) * | 2009-06-26 | 2011-03-08 | Alpha and Omega Semiconductor Inc. | Accurate hysteretic comparator and method |
US8760198B2 (en) * | 2011-12-27 | 2014-06-24 | Broadcom Corporation | Low voltage line driver |
US10212006B2 (en) * | 2016-03-01 | 2019-02-19 | Mediatek Inc. | Feed-forward filtering device and associated method |
US12081184B1 (en) | 2023-03-23 | 2024-09-03 | Qualcomm Incorporated | Current-mode filter |
Citations (2)
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US6031416A (en) * | 1998-04-27 | 2000-02-29 | Stmicroeletronics S.R.L. | First and second order CMOS elementary cells for time-continuous analog filters |
US6069522A (en) * | 1997-02-03 | 2000-05-30 | Texas Instruments Incorporated | Circuitry and method for providing boost and asymmetry in a continuous-time filter |
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JPS58101511A (en) * | 1981-12-12 | 1983-06-16 | Oki Electric Ind Co Ltd | Dc offset eliminating circuit |
JPS63100810A (en) * | 1986-10-16 | 1988-05-02 | Sony Corp | Differential comparator |
JPH03210810A (en) * | 1990-01-12 | 1991-09-13 | Hitachi Ltd | Filter circuit |
JPH03258109A (en) * | 1990-03-08 | 1991-11-18 | Toko Inc | Active filter |
JPH06237146A (en) * | 1992-12-15 | 1994-08-23 | Hitachi Ltd | Filter system |
JP3175995B2 (en) * | 1993-05-19 | 2001-06-11 | 株式会社東芝 | Filter circuit |
US5489872A (en) * | 1994-01-25 | 1996-02-06 | Texas Instruments Incorporated | Transconductance-capacitor filter circuit with current sensor circuit |
JP3210524B2 (en) * | 1994-04-21 | 2001-09-17 | 株式会社東芝 | Differential input type voltage controlled current source circuit and differential filter circuit using the same |
JPH08172339A (en) * | 1994-12-20 | 1996-07-02 | Fujitsu Ltd | Active type filter, active type equalizer and oscillator |
JP3344904B2 (en) * | 1996-10-21 | 2002-11-18 | 沖電気工業株式会社 | Limiter amplifier |
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WO2000003476A1 (en) * | 1998-07-13 | 2000-01-20 | Steensgaard Madsen Jesper | Wide-bandwidth operational amplifier |
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2000
- 2000-09-18 US US09/663,848 patent/US6483380B1/en not_active Expired - Lifetime
-
2001
- 2001-09-07 JP JP2002527051A patent/JP5221834B2/en not_active Expired - Lifetime
- 2001-09-07 KR KR1020037003892A patent/KR100802832B1/en active IP Right Grant
- 2001-09-07 WO PCT/US2001/042058 patent/WO2002023723A1/en active Application Filing
- 2001-09-07 CN CNB018170781A patent/CN100448168C/en not_active Expired - Lifetime
- 2001-09-07 EP EP01971404A patent/EP1320928B1/en not_active Expired - Lifetime
- 2001-09-19 TW TW090123078A patent/TW531959B/en not_active IP Right Cessation
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US6069522A (en) * | 1997-02-03 | 2000-05-30 | Texas Instruments Incorporated | Circuitry and method for providing boost and asymmetry in a continuous-time filter |
US6031416A (en) * | 1998-04-27 | 2000-02-29 | Stmicroeletronics S.R.L. | First and second order CMOS elementary cells for time-continuous analog filters |
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Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US9698738B2 (en) | 2015-02-13 | 2017-07-04 | Electronics And Telecommunications Research Institute | Bandpass filter providing wide gain control range |
Also Published As
Publication number | Publication date |
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EP1320928A1 (en) | 2003-06-25 |
EP1320928A4 (en) | 2004-03-03 |
KR100802832B1 (en) | 2008-02-12 |
US6483380B1 (en) | 2002-11-19 |
KR20030048046A (en) | 2003-06-18 |
JP2004523932A (en) | 2004-08-05 |
CN1468466A (en) | 2004-01-14 |
EP1320928B1 (en) | 2012-11-21 |
CN100448168C (en) | 2008-12-31 |
JP5221834B2 (en) | 2013-06-26 |
TW531959B (en) | 2003-05-11 |
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