Oscillator circuit
10819277 ยท 2020-10-27
Assignee
Inventors
Cpc classification
H03B5/1215
ELECTRICITY
H03B5/1212
ELECTRICITY
H03B2200/004
ELECTRICITY
H03B5/1228
ELECTRICITY
International classification
Abstract
A differential Colpitts oscillator circuit is described which provides a larger tuning range, has better phase noise and uses less power than conventional differential Colpitts oscillator circuits. The circuit is characterized by a capacitive ladder in which only variable capacitor is used for tuning the circuit. In some embodiments, a variable capacitor can be used for fine tuning.
Claims
1. A circuit comprising: a first transistor and a second transistor; a first inductor connected in a first line between a first gate of the first transistor and a connecting point; a third transistor and a fourth transistor; a second inductor connected in a second line between a second gate of the third transistor and the connecting point; a first pair of capacitors connected between the first gate and a first source of the first transistor; a second pair of capacitors connected between the second gate and a second source of the third transistor; and a variable capacitor connected to the first pair of capacitors and the second pair of capacitors, wherein a fourth gate of the fourth transistor is connected to a first center-tap point of the first inductor and a third gate of the second transistor is connected to a second center-tap point of the second inductor.
2. The circuit according to claim 1, the variable capacitor being adjustable to adjust a tuning range of the circuit.
3. A circuit comprising: a first transistor comprising a first terminal and a second terminal that is a gate terminal; a second transistor comprising a third terminal and a fourth terminal; a third transistor comprising a fifth terminal and a sixth terminal that is a gate terminal; a fourth transistor comprising a seventh terminal and an eighth terminal; a first inductor comprising a ninth terminal and a tenth terminal; a second inductor comprising an eleventh terminal and a twelfth terminal; a resistor comprising a thirteenth terminal; and a capacitive ladder comprising a fourteenth terminal, a fifteenth terminal, a sixteenth terminal, and a seventeenth terminal, wherein the second terminal, the fifteenth terminal, and the ninth terminal form a first node, wherein the tenth terminal and the eleventh terminal form a second node, wherein the twelfth terminal, the seventeenth terminal, and the sixth terminal form a third node, wherein the first terminal, the fourteenth terminal, and the third terminal form a fourth node, wherein the fifth terminal, the sixteenth terminal, and the seventh terminal form a fifth node, and wherein the fourth terminal, the eighth terminal, and the thirteenth terminal form a sixth node, wherein the capacitive ladder comprises: a first capacitor comprising an eighteenth terminal; a second capacitor comprising a nineteenth terminal; a third variable capacitor comprising a twentieth terminal and a twenty-first terminal; a fourth capacitor comprising a twenty-second terminal; and a fifth capacitor comprising a twenty-third terminal, wherein the eighteenth terminal, the nineteenth terminal, and the twentieth terminal form a seventh node, and wherein the twenty-first terminal, the twenty-second terminal, and the twenty-third terminal form an eighth node.
4. The circuit according to claim 3, further comprising a sixth variable capacitor comprising a twenty-fourth terminal and a twenty-fifth terminal, wherein the twenty-fourth terminal additionally forms the fourth node, and wherein the twenty-fifth terminal additionally forms the fifth node.
5. The circuit according to claim 4, wherein the first inductor further comprises a first center-tap terminal, wherein the second inductor further comprises a second center-tap terminal, wherein the second transistor further comprises a twenty-sixth terminal that is a gate terminal, wherein the fourth transistor further comprises a twenty-seventh terminal that is a gate terminal, wherein the twenty-seventh terminal and the first center-tap terminal form a ninth node, and wherein the twenty-sixth terminal and the second center-tap terminal form a tenth node.
6. The circuit according to claim 5, wherein the sixth variable capacitor is adjustable to adjust a tuning range of the circuit.
7. The circuit according to claim 5, wherein the third variable capacitor is adjustable to adjust a tuning range of the circuit.
Description
BRIEF DESCRIPTION OF THE FIGURES
(1) The above, as well as additional, features will be better understood through the following illustrative and non-limiting detailed description of example embodiments, with reference to the appended drawings.
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(13) All the figures are schematic, not necessarily to scale, and generally only show parts which are necessary to elucidate example embodiments, wherein other parts may be omitted or merely suggested.
DETAILED DESCRIPTION
(14) Example embodiments will now be described more fully hereinafter with reference to the accompanying drawings. That which is encompassed by the claims may, however, be embodied in many different forms and should not be construed as limited to the embodiments set forth herein; rather, these embodiments are provided by way of example. Furthermore, like numbers refer to the same or similar elements or components throughout.
(15) A conventional single-ended Colpitts oscillator circuit 10 is shown in
(16) The single-ended Colpitts oscillator circuit 10 generally has lower phase noise than most other oscillator topologies or circuits and its use is common in implementations where phase noise is an issue. However, the circuit 10 is typically sensitive to single-ended parasitics.
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(18) Portion 20a comprises transistors M1 and M3 where transistor M1 corresponds to transistor 14 in
(19) Similarly, portion 20b comprises transistors M2 and M4 where transistor M2 corresponds to transistor 14 in
(20) The center-tap points 24a, 24b are located between respective ones of the transistor pairs M1, M3 and M2, M4. The variable or tunable capacitor C2 is connected to a line joining the center-tap points 24a, 24b.
(21) Connections are provided between the respective transistor pairs M1, M3 and M2, M4 and respective gates of transistor M4 and transistor M3 as shown. The connections are made at points 28a and 28b with respect to respective ones of the transistor pairs M1, M3 and M2, M4. A differential output is provided by coupling the two portions 20a, 20b by sharing variable or tunable capacitor C2.
(22) The differential Colpitts oscillator circuit 20 has the potential advantage of having low phase noise which is the same as the single-ended Colpitts oscillator circuit as shown in
(23) Another conventional differential Colpitts oscillator circuit 30 is shown in
(24) Portion 30a comprises transistors M1 and M3 and a capacitor C1a connected between line 42a extending between a bias voltage node 40 and gate aa of transistor M1 and line 44 joining center-tap points 36a, 36b containing the variable or tunable capacitor C2. Transistor M1 is connected to voltage supply VDD as shown with transistor M3 connected to ground 32 via resistor 34. Inductor L.sub.a is connected in the line 42a between the bias voltage node 40 and gate aa of transistor M1. Gate a of transistor M3 is connected to line 42b at tap point 38b as shown.
(25) Similarly, portion 30b comprises transistors M2 and M4 and a capacitor C1b between line 42b extending between the bias voltage node 40 and gate bb of transistor M2 and line 44 joining center-tap points 36a, 36b containing the variable or tunable capacitor C2. Transistor M2 is connected to voltage supply VDD as shown with transistor M4 connected to ground 32 via resistor 34. Inductor L.sub.b connected in the line 42b between the bias voltage node 40 and gate bb of transistor M2. Gate b of transistor M4 is connected to line 42a at tap point 38a as shown.
(26) The tap points 36a, 36b are located between respective ones of the transistor pairs M1, M3 and M2, M4. The variable or tunable capacitor C2 is connected to a line joining the center-tap points 36a, 36b.
(27) A differential output is provided by coupling the two portions 30a, 30b by sharing variable or tunable capacitor C2.
(28) However, by cross-coupling the transistors M3 and M4, it was found that the minimum supply voltage VDD was generally equal to the sum of the drain/source voltage Vds for transistor M1 and the threshold voltage Vth for transistor M3. Typically, the minimum power supply voltage is about 0.7 V. Moreover, transistors M1 and M2 generally need to be large so that they can be fully switched by the bias voltage applied at bias voltage node 40.
(29) The conventional way of realizing the tuning range is to tune the variable or tunable capacitor C2. When the capacitance of C2 increases, the oscillation frequency is reduced as the total capacitance C.sub.total increases. The oscillation frequency f can be expressed as:
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(31) and C1, C2 and L respectively correspond to the capacitance value of C1, the capacitance value of C2 and the inductance of the inductor L.
(32) The feedback voltage V2 can be expressed as:
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(34) where V1 is the power supply voltage VDD, and C1 and C2 are the capacitance values of the capacitors C1 and C2 respectively.
(35) If the feedback voltage V2 decreases below a threshold value, start-up requirements for the oscillator generally cannot be met. The minimum power supply voltage VDD is typically limited by the sum of Vth (from transistor M3) and Vds (from transistor M1). The minimum bias voltage is typically limited by the sum of Vth (from transistor M1), Vth (from transistor M3) and Vds (from the resistor 34).
(36) The limited tuning range can be a significant disadvantage for Colpitts oscillator implementation, and, one problem is how to extend the tuning range without compromising on area, design complexity, and phase noise.
(37) When the capacitance C2 increases, the oscillation frequency and the feedback voltage V2 decrease, and the positive feedback generally cannot sustain the oscillation. One challenge is to maintain the positive feedback voltage while tuning the oscillation frequency.
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(40) A schematic illustration of a differential Colpitts oscillator circuit 100 is shown in
(41) Similarly, portion 120 includes transistor M2 and transistor M4 connected in series with the resistor R to ground 130 and inductor L.sub.b connected to gate bb of transistor M2. The inductor L.sub.b is connected between gate bb of transistor M2 and the point 140 to which the bias voltage Vbias can be applied as shown.
(42) Variable or tunable capacitor C2 is connected between each of the transistor pairs M1, M3 and M2, M4 as shown at tap points 150, 160. Capacitor C1.sub.a in portion 110 is connected to line 170 between inductor L.sub.a and gate aa of transistor M1 at one end and to line 180 between tap points 150, 160, including the variable or tunable capacitor C2, at the other end. Similarly, capacitor C1.sub.b in portion 120 is connected to line 190 between inductor L.sub.b and gate bb of transistor M2 at one end and to line 180 between tap points 150, 160 at the other end.
(43) Gate a of transistor M4 is connected to a center-tap point A of the inductor L.sub.a in the other portion 110 of the circuit 100 and gate b of transistor M3 is connected to a center-tap point B of the inductor L.sub.b in the other portion 120 of the circuit 100, that is, the inductors L.sub.a, L.sub.b are cross-coupled with the gates a, b of transistors M3, M4 as shown.
(44) The potential advantages of having the center-tapped connection to points A and B of respective inductors L.sub.a and L.sub.b are shown in
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(47) The minimum bias voltage applied to point 140 is now no longer dependent on threshold voltage Vth and is now determined by the sum of Vds (for transistor M1) and Vds (for transistor M3). This can provide an improvement of around 100 mV to 200 mV. The voltage swing at gates aa, bb of respective transistors M1, M2 is much higher than that at sources of the associated transistors. As a result, the size of the transistors M3, M4 can be reduced, and an improved layout is achieved for the transistors M1, M2, M3, and M4.
(48) Tuning can be improved using a Colpitts oscillator circuit 200 shown in
(49) Portion 210 includes transistor M1 and transistor M3 connected in series with a resistor R to ground 230, and inductor L.sub.a connected to gate aa of transistor M1. The inductor L.sub.a is connected between gate aa of transistor M1 and point 240 to which a bias voltage Vbias can be applied as shown.
(50) Similarly, portion 220 includes transistor M2 and transistor M4 connected in series with the resistor R to ground 230 and inductor L.sub.b connected to gate bb of transistor M2. The inductor L.sub.b is connected between gate bb of transistor M2 and the point 240 to which the bias voltage Vbias can be applied as shown.
(51) Gate a of transistor M4 is connected to a center-tap point A of the inductor L.sub.a in the other portion 210 of the circuit 200 and gate b of transistor M3 is connected to a center-tap point B of the inductor L.sub.b in the other portion 220 of the circuit 200, that is, the inductors L.sub.a, L.sub.b are cross-coupled with the gates a, b of transistors M3, M4 as shown.
(52) Variable capacitor C2 is connected between each of the transistor pairs M1, M3 and M2, M4 as shown at tap points 250, 260. Instead of having a single capacitor C1.sub.a, C1.sub.b in each portion 210, 220 of the circuit 200, the single capacitor C1.sub.a, C1.sub.b is replaced by capacitors C1.sub.a, C1.sub.b and C3.sub.a, C3.sub.b arranged in series between line 270 and line 280 in portion 210 and between line 290 and line 280 in portion 220 as shown.
(53) The capacitive ladder or voltage divider 300 comprises capacitors C1.sub.a, C1.sub.b and C3.sub.a, C3.sub.b in each of portions 210, 220 and a tunable capacitor Ctune connected between tap point 310 in portion 210 and tap portion 320 in portion 220 of circuit 200. The capacitance of capacitors C1.sub.a, C1.sub.b and C3.sub.a, C3.sub.b are C1 and C3 respectively (as capacitors C1.sub.a and C1.sub.b are identical, and, capacitors C3.sub.a and C3.sub.b are identical) with the capacitance of capacitor Ctune as Ctune/2 and the capacitance of capacitor C2 as C2/2. As there are now two variable or tunable capacitors C2 and Ctune in parallel, the capacitance value of each capacitor C2 and Ctune is now halved.
(54) By using the center-tapped configuration of
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(56) In contrast to
(57) The total equivalent capacitance Ctotal of the capacitive voltage divider 300 can be expressed as:
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(59) As can be seen from equation (2), the capacitance values C2 and Ctune have equal impact on the total capacitance Ctotal. In equation (2) above, C2 and Ctune correspond to C2 and Ctune respectively as shown in
(60) The positive feedback voltage can be calculated as:
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(62) with the denominator being simplified to:
(C.sub.1+C.sub.3)C.sub.2+C.sub.1C.sub.3+C.sub.2C.sub.tune+C.sub.3C.sub.tune(3)
(63) where the capacitance C2 has the coefficient of the sum of capacitances C1+C3 and the capacitance Ctune has the coefficient of the capacitance C3 where C2 and Ctune in equation (3) correspond to C2 and Ctune respectively as shown in
(C.sub.1+C.sub.3)(C.sub.2*1.1)+C.sub.1C.sub.3+(C.sub.2*1.1)C.sub.tune+C.sub.3C.sub.tune
(64) and, if, Ctune is tuned 10% more, then the denominator as expressed in equation (3) would become
(C.sub.1+C.sub.3)C.sub.2+C.sub.1C.sub.3+C.sub.2(C.sub.tune*1.1)+C.sub.3(C.sub.tune*1.1)
(65) As a result, positive feedback voltage changes when Ctune is tuned are smaller than those when C2 is tuned.
(66) Although the capacitor C2 is a variable capacitor, it is proposed to use only capacitor Ctune to effect the frequency tuning; but fine-tuning of the oscillator circuit can be achieved by tuning capacitor C2.
(67) The term fine-tuning as used herein refers to making small precise adjustments in order to achieve the best or desired performance. This is in contrast to the term tuning which provides larger less precise adjustments.
(68) Cadence simulations have been performed to verify the improvement of the tuning for the differential Colpitts oscillator circuit 200 as shown in
(69) Cadence simulations indicated that the circuit 200 (
(70) TABLE-US-00001 TABLE 1 conventional tuning scheme proposed tuning scheme C1 (pf) 4.2 4.2 3.0 3.0 3.0 C2 (pf) 0.2 0.2 0.2 0.2 0.2 C3 (pf) 1.0 1.0 1.0 1.0 1.0 Ctotal (pf) 0.25 1.0 0.25 0.465 1.0 PN@1 115.8 115.7 115.2 115.4 112.6 MHz PN@10 66.5 65.9 69.2 66.3 59.6 kHz I.sub.supply 926 1270 899 1020 1200 (A) f.sub.0 (GHz) 4.51 4.12 4.54 4.12 3.60 Tuning 3.98% 11.5% range
(71) As shown, the tuning range has been extended from 3.98% to 11.5% for the differential Colpitts oscillator circuit as shown in
(72) In
(73) In effect, it was found that tuning capacitor Ctune instead of C2 provides a larger tuning range for the oscillator circuit with better phase noise and less power consumption.
(74) While some embodiments have been illustrated and described in detail in the appended drawings and the foregoing description, such illustration and description are to be considered illustrative and not restrictive. Other variations to the disclosed embodiments can be understood and effected in practicing the claims, from a study of the drawings, the disclosure, and the appended claims. The mere fact that certain measures or features are recited in mutually different dependent claims does not indicate that a combination of these measures or features cannot be used. Any reference signs in the claims should not be construed as limiting the scope.