This application claims priority to Korean Patent Application No. 2005-103725, filed on Nov. 1, 2005 in the Korean Intellectual Property Office, the disclosure of which is incorporated herein in its entirety by reference.
1. Field of the Invention
The present invention relates generally to differential circuits, and more particularly to a differential circuit having compensation transistors with an exponential current-voltage characteristic for improved linearity of the differential circuit.
2. Description of the Related Art
For various wired/wireless communication systems, the linearity of a receiver is increasingly important. The linearity of an amplifier and a frequency converter within such a receiver is an important parameter in designing a radio frequency (RF) transceiver. The frequency converter converts a RF signal into an intermediate frequency (IF) signal having a frequency between that of the RF signal and a base-band signal.
The linearity of the frequency converter allows for preserving signal integrity with prevention of interference by ambient signals. In particular, the linearity of a mixer and/or an amplifier within the frequency converter especially determines the performance of the frequency converter.
Thus, increasing the linearity of any differential circuit within such an amplifier or such a mixer is desired for improving the linearity of the receiver.
Accordingly, a differential circuit of the present invention includes compensation transistors for improving linearity of the differential circuit used in such components of the receiver.
In one aspect of the present invention, a differential circuit includes main transistors differentially coupled for converting differential input signals into main differential currents at output terminals. In addition, the differential circuit includes compensation transistors coupled to the main transistors for converting the differential input signals into compensation differential currents at the output terminals. Each compensation differential current has an exponential current-voltage characteristic for improving linearity of the differential circuit.
In an example embodiment of the present invention, the compensation transistors are each a BJT (bipolar junction transistor). In that case, the respective emitter of each compensation BJT is coupled to a common node or to a respective impedance that determines a respective compensation current.
In another example embodiment of the present invention, the main transistors are of a different type from the compensation transistors. For example, the main transistors are each a MOSFET (metal oxide semiconductor field effect transistor), and the compensation transistors are each a BJT (bipolar junction transistor).
In a further example embodiment of the present invention, the main transistors are of a same type as the compensation transistors. For example, the main transistors and the compensation transistors are each a BJT (bipolar junction transistor).
Such compensation transistors improve the linearity of the differential circuit. Such a differential circuit in turn improves the linearity of the receiver when incorporated into a differential amplifier and/or a mixer of the receiver.
The above and other features and advantages of the present invention will become more apparent when described in detailed exemplary embodiments thereof with reference to the attached drawings in which:
The figures referred to herein are drawn for clarity of illustration and are not necessarily drawn to scale.
The conventional differential circuit of
When the differential circuit is within an RF receiver, the first and second input signals Vn1 and Vn2 correspond to received RF signals VRF+ and VRF−. In addition, drains dn1 and dn2 of the MOSFETs N1 and N2 are each coupled to a respective load (not shown) when used in an amplifier. Alternatively, the drain terminals dn1 and dn2 are coupled to a switching unit (not shown) when used in a mixer.
The conventional differential circuit of
When the differential circuit is within an RF receiver, the first and second input signals Vq1 and Vq2 correspond to received RF signals VRF+ and VRF−. In addition, collectors Cq1 and Cq2 of the BJTs Q1 and Q2 are each coupled to a respective load (not shown) when used in an amplifier. Alternatively, the collectors Cq1 and Cq2 are coupled to a switching unit (not shown) when used in a mixer.
The differential circuit of
A drain-to-source current Ids of a MOSFET such as the first MOSFET N1 may be expressed with respect to a gate-to-source voltage Vgs according to Equation (1) as follows:
Idc is a dc component, gm is the transconductance of the MOSFET N1, gm′ is a first derivative of the transconductance gm, and gm″ is a second derivative of the transconductance gm, and so on for further derivatives of the transconductance gm.
According to above Equation (1), the third power of the voltage Vgs includes a primary frequency component, and therefore, gm″ influences the linearity of the differential circuit. In addition, gm″ has a negative value when a value of (Vgs−VT) is in a range of 0.1 through 0.45 V, as shown in
Hereinafter, the non-linearity of the MOS transistor differential circuit and the BJT differential circuit is analytically described.
The I-V (current-voltage) characteristic of a MOSFET is expressed by the following Equation (2):
k′ is a constant determined by physical characteristics of the MOSFET such as the mobility and the thickness of the dielectric layer of the MOSFEET. W is the channel width of the MOSFET, and L is the channel length of the MOSFET.
Based on the above Equation (2), the currents In1 and In2 in the differential circuit of
Since a differential operation is symmetrical, the current of just the left MOSFET N1 of
As shown in the above Equations (4), a third component α3 always has a negative value.
The I-V (current-voltage) characteristic of a BJT is expressed by Equation (5) as follows:
Vbe is a base-to-emitter voltage, IS is a saturation current, and VT is a threshold voltage, of the BJT.
Based on the above Equation (5), the currents Iq1 and Iq2 in the differential circuit of
αF is a gain of a forward current for the BJT Q1 or Q2, and Vx is a difference between the input signals Vq1 and Vq2.
Since a differential operation is symmetrical, the current of just the left BJT Q1 of
where αF is a gain of a forward current.
As shown in the above Equation (7), a third component α3 always has a negative value for the differential circuit of
Furthermore, drains dn1 and dn2 of the MOSFETs N1 and N2 are coupled to first and second output terminals, respectively. The MOSFETs N1 and N2 convert the differential input signals Vn1 and Vn2 into main differential currents In1 and In2 respectively through the drains dn1 and dn2 of the MOSFETs N1 and N2.
In addition, the differential circuit of
One compensation transistor of a pair is coupled to the first main MOSFET N1, and the other compensation transistor of the pair is coupled to the second main MOSFET N2. For example, for the first pair formed by Qa1 and Qb1, the collector Ca1 of Qa1 is coupled to the drain dn1 of the first MOSFET N1 at the first output terminal, and the base of Qa1 is coupled to the gate gn1 of the first MOSFET N1. On the other side, the collector Cb1 of Qb1 is coupled to the drain dn2 of the second MOSFET N2 at the second output terminal, and the base of Qb1 is coupled to the gate gn2 of the second MOSFET N2.
The respective emitter ea1, eb1, . . . , ean, ebn of each of the compensation BJTs Qa1, Qb1, . . . , Qan, Qbn is coupled to a common node such as a ground node for example through a respective degenerate impedance Za1, Zb1, . . . , Zan, Zbn. The present invention may also be practice with the respective emitter ea1, eb1, . . . , ean, ebn of each of the compensation BJTs Qa1, Qb1, . . . , Qan, Qbn being coupled directly to the common node without any degenerate impedance.
Furthermore, collectors Cq1 and Cq2 of the BJTs Q1 and Q2 are coupled to first and second output terminals, respectively. The BJTs Q1 and Q2 convert the differential input signals Vq1 and Vq2 into main differential currents Iq1 and Iq2 respectively through the collectors Cq1 and Cq2 of the BJTs Q1 and Q2.
Furthermore, the differential circuit of
The respective values of the degenerate impedances Za1, Zb1, . . . , Zan, Zbn may be determined through experiments, as described below. In either
Consider an example differential pair of compensation currents Ia1 and Ib1 which is expressed by Equations (8) below based on Equation (5) above when the degenerate impedances Za1 and Zb1 are negligible:
Vx is a difference between the input signals Vq1 and Vq2 or a difference between the input signals Vn1 and Vn2.
A description is set forth with respect to just the left compensation BJT Qa1 since a differential operation is symmetrical. A power series representation of Ia1 is expressed with Equations (9) below:
According to Equations (9), β3 always has a positive value. Thus, with the multiple pairs of the compensation BJTs Qa1, Qb1, . . . , Qan, Qbn, α3 of Equation (4) or (7) having the negative value may be offset. Such offset results because the compensation transistors Qa1, Qb1, . . . , Qan, Qbn are each a BJT having an exponential current-voltage characteristic.
Further if the degenerate impedance is considered with respect to β3 of Equation (9), an effective β3,Z can be expressed by Equation (10) below:
where Za1 is the degenerate impedance, IZ is a bias current flowing in a transistor connected to the degenerate impedance Za1, and “n” just in the above equation is a fitting factor which may be obtained through experiments or simulations.
Accordingly, the transconductance gm is determined by a value of the degenerate impedance Za1 such that the values of the transconductance gm corresponding to α3 may be further compensated by controlling the degenerate impedances Za1, Zb1, . . . , Zan, Zbn. With the compensation currents generated by the compensation transistors Qa1, Qb1, . . . , Qan, Qbn, signal distortion from interference may be reduced for maximizing linearity of the differential circuits of
The switching unit 71 of
Switching of the transistors Q11 and Q14 alternates with switching of the transistors Q12 and Q13 according to the differential LO signal. Frequency mixing is performed by adding or subtracting the frequency of the LO signal to or from the frequency of an RF signal output from the differential circuit 70.
According to simulation results, a BJT differential amplifier and a BJT mixer (i.e., including the differential circuit of
While the present invention has been particularly shown and described with reference to exemplary embodiments thereof, it will be understood by those of ordinary skill in the art that various changes in form and details may be made therein without departing from the spirit and scope of the present invention as defined by the following claims. For example, any number of elements or type of devices illustrated and described herein are by way of example only.
Thus, a differential circuit according to an embodiment of the present invention may be formed in any of BJT, SiGe heterojunction bipolar transistor (HBT), InP HBT, and bipolar complementary metal oxide semiconductor (BiCMOS) processes and CMOS processes having a vertical BJT. Fabrication of a BJT pair has smaller variation than fabrication of a MOS transistor and thus allows for more stable modeling.
The present invention is limited only as defined in the following claims and equivalents thereof.
Number | Date | Country | Kind |
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10-2005-0103725 | Nov 2005 | KR | national |
Number | Name | Date | Kind |
---|---|---|---|
4460872 | Mattisson | Jul 1984 | A |
4936465 | Zold | Jun 1990 | A |
5313172 | Vagher | May 1994 | A |
5461342 | Crabtree | Oct 1995 | A |
5523717 | Kimura | Jun 1996 | A |
5619169 | Matsuura | Apr 1997 | A |
6445251 | Robinson | Sep 2002 | B1 |
6871057 | Ugajin et al. | Mar 2005 | B2 |
Number | Date | Country | |
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20070096813 A1 | May 2007 | US |