Oscillator regeneration device

Information

  • Patent Grant
  • 8581668
  • Patent Number
    8,581,668
  • Date Filed
    Tuesday, December 20, 2011
    12 years ago
  • Date Issued
    Tuesday, November 12, 2013
    10 years ago
Abstract
A negative resistance device for a multiphase oscillator is disclosed. The negative resistance device is coupled to taps of the multiphase oscillator so that it injects no energy into the oscillator when the oscillator is most sensitive to noise, thereby decreasing the phase noise of the oscillator. The negative resistance device also guarantees the direction of movement of a traveling wave past the taps of the multiphase oscillator.
Description
CROSS-REFERENCE TO RELATED APPLICATIONS

1. Field of the Invention


The present invention relates generally to multiphase oscillators and more specifically to active devices that maintain the oscillation of such oscillators.


2. Description of the Related Art


Most electronic systems encounter noise from several sources, such as shot noise, thermal noise, and flicker noise, which usually arise from currents flowing in the electronic system.


Most electronic systems include one or more oscillators, which provide the clocks that pace or operate the system. Because oscillators are linear, time-varying (LTV) systems, electronic noise has unusual effects on oscillators. One way to characterize these effects is to determine the LTV unit impulse response hφ for the oscillator. This function hφ includes a key function called the impulse sensitivity function (ISF) Γ(ω0τ), which captures the essential information about the oscillator and allows one to compute the oscillator's response to a phase impulse. The ISF for an oscillator shows that the various noise sources mentioned above give rise to phase φ(t) modulation cos [ω0t+φ(t)] of the oscillator frequency ω0, which appears as a spectral “skirt” about the oscillator frequency ω0. This spectrum, actually a power spectral density custom character(Δω), is usually separated into three regions. The region nearest the oscillator frequency is the 1/f3 region. At some point ω1/f (the 1/f noise corner), this region breaks into a 1/f2 region, which continues until it reaches the noise floor of the system, which is a flat region at frequencies far distant from the oscillator frequency.


Using the ISF, the power spectral density (PSD) for an oscillator in the 1/f2 region can be shown to be









phase



(
Δω
)


=

10


log


(

k



Γ
rms
2


δω
2






l
n
2

_


Δ





f



)







where








l
n
2

_


Δ





f








is the power spectral density of the noise, Γrms is rms value of the ISF, and Δω is the offset frequency from the oscillator nominal frequency. The PSD for an oscillator in the 1/f3 region is










Phase



(
Δω
)


=

10


log


(


kc
0
2




ω

1
/
f



Δω
3





i
n
2


Δ





f



)




,





where now the ISF is included in the c0 term. These formulae for the power of the sidebands about the oscillator frequency indicate that there are both up and down frequency translations of circuit noise currents in into noise near the oscillator frequency. The 1/f2 region results from down-converted white noise at integer multiples of the oscillator frequency and the 1/f3 region results from up-converted 1/f circuit noise. The 1/f noise is particularly troublesome for some applications, but the presence of the c0 term (the dc term) in the PSD function suggests that to minimize this noise, one should make the term as small as possible. One way of doing this is to arrange the circuitry so that disturbances during the rising edge in the oscillation are the same as those during the falling edge, thereby making the net disturbances over the cycle almost cancel out.


Not only does the oscillator itself have a time-varying characteristic, but the oscillator can be subject to time-varying noise sources that vary in a periodic fashion. In fact, in a full analysis, another function called a noise modulating function (NMF) α(ω0t) modifies the ISF to create an effective ISF (ISFe) that accounts for periodic time-varying noise. As with the other noise sources, one should attempt to find circuit topologies that minimize the effect of time-varying noise. One way to minimize the noise is to arrange circuitry so that time-varying noise sources have their maximum power at the minimum sensitivity point in the oscillator waveform.


Rotary wave oscillators are a particular type of oscillator, operating by means of a wave that travels in a closed loop that reverses the phase of the wave on every transit of the loop. FIG. 1 illustrates this type of oscillator. The direction of the traveling wave around the closed loop can be either clockwise or counter clockwise unless some technique sets the direction of rotation. Such oscillators have the advantage that multiple phases are available by physically tapping the oscillator. However, for the taps to be useful, the one must know the direction of the wave along the taps. It is thus desirable to have control over the direction of the traveling wave.


In summary, it is desirable to have an oscillator with low phase noise to make it useful in a great variety of applications and it is desirable, in the case of a rotary wave oscillator, to control the direction of travel of the wave.


BRIEF SUMMARY OF THE INVENTION

An embodiment of the present invention is an amplifier for generating and maintaining a traveling wave on a RTWO. The amplifier is connected to the phases of the RTWO such that it turns off at the critical time when noise would otherwise be injected into the oscillator.


One of the advantages of the present invention is that it eliminates crowbar current. In particular, the dwell time of the amplifier eliminates crowbar current, which flows from supply to ground, thereby contributing noise power but not energy to the oscillator.


Another advantage is that it enforces the wave direction of oscillator of a rotary traveling wave oscillator.


Yet another advantage is that, with proper location of the amplifier phase taps, it reduces the sensitivity of an RTWO due to process variations.


The present invention thus reduces phase noise and provides a means for controlling the direction of the traveling wave in the oscillator.





BRIEF DESCRIPTION OF THE DRAWINGS

These and other features, aspects and advantages of the present invention will become better understood with regard to the following description, appended claims, and accompanying drawings where:



FIG. 1 shows a prior art rotary oscillator;



FIG. 2A shows an amplifier for use in an embodiment of the present invention in which the amplifier is the negative resistance device;



FIG. 2B shows an alternate version of the amplifier for use in an embodiment of the present invention;



FIG. 3 shows a portion of the transmission line on which a wave travels from left to right in the figure;



FIG. 4A shows a timing diagram of the various waveforms involved in the present invention;



FIG. 4B, the inset in FIG. 4A, illustrates the negative-going wave front and two times T1 and T2 at which the amplifier output impacts the wave front;



FIG. 5A shows an equivalent circuit for the amplifier of FIG. 2A when a wave travels in the preferred direction; and



FIG. 5B shows an equivalent circuit for the amplifier of FIG. 2A when a wave travels opposite to the preferred direction.





DETAILED DESCRIPTION OF THE INVENTION


FIG. 1 shows a prior art rotary oscillator 10. The oscillator 10 includes a pair of conductors 14a,b connected to form a closed loop 12, an odd number of cross-overs 18 that reverse the phase of a wave traveling on the conductors 14a,b, and a plurality of regeneration devices 16 (of which 20a,b is one of many implementations) that create and maintain the traveling wave. Each of the regeneration devices 16 has negative resistance and operates to add energy to the traveling wave as it passes a device. For example, if the wave is traveling clockwise with a positive voltage on conductor 14b and has not reached 20a,b, then the regeneration device 20a,b has a polarity opposite to the approaching wave. As the wave passes the regeneration device 20a,b, the wave changes the state of the device 20a,b so that it has the same polarity as the wave, thereby adding energy to and reinforcing the wave.


Any negative resistance device that operates to add energy to the traveling wave will meet the requirements of a regeneration device for the rotary oscillator.



FIG. 2A shows an amplifier 40 for use in an embodiment of the present invention in which the amplifier is the negative resistance device. In the version shown in FIG. 2A, the amplifier 40 includes first 42 and second 44 p-channel transistors and first 46 and second 48 n-channel transistors. The p-channel transistors 42, 44 have their channels connected in series and between a first supply voltage V150 and the output out 52. The n-channel transistors 46,48 have their channels connected in series between a second supply voltage V254 and the output out 52. The gates of the second p-channel transistor 44 and the first n-channel transistor 46 are connected to a first input, in156. The gates of the first p-channel transistor 42 and the second n-channel transistor 48 are connected to a second input, in258.



FIG. 2B shows an alternate version 60, 62 of the amplifier for use in an embodiment of the present invention. In the alternate version, the amplifier 62 at one position on the loop comprises two p-channel transistors 64, 66 whose channels connected in series between the first supply voltage V150 and the output 52. The gate of one transistor is connected to the first input in156 and the gate of the other transistor is connected to the second input in258. At an adjacent position on the loop, up or downstream, the amplifier comprises two n-channel transistors 68, 70 whose channels are connected in series between the output 52′ and the second supply voltage V254. The gate of one transistor is connected to the first input in156′ and the gate of the other transistor is connected to the second input in258′. These two configurations thus alternate at each position on the loop, so that the traveling wave first encounters, say a p-channel amplifier 60, then an n-channel amplifier 62, and then a p-channel amplifier 60. When the wave encounters a p-channel amplifier 60 it receives a boost that increases the wave's higher potential. When the wave encounters an n-channel amplifier 62, it receives a boost that increases the waves' lower potential.


Operation of FIG. 2A



FIG. 3 shows a portion of the transmission line 14a, 14b (in FIG. 1), on which a wave travels from left to right in the figure. Amplifier 40 has input 1 and input 2 connected to different positions Phj 84, Phk 82 on conductor 14b and its output connected to a position Ph086 on conductor 14a. The amplifier embodiment 40 in FIG. 2A operates as follows, adopting the convention that positive j and k values lag the wave front, while negative values lead it. If the wave front of a wave traveling in the direction from j to k is at Ph0, then the wave front arrives at Phj before it arrives at Phk. Before the wave arrives at Phj or Phk on the RTWO, input 1 and input 2 are relative low voltages compared to their complementary voltages on the other conductor of the RTWO. This means that both p-channel transistors are on, sourcing current from the first supply voltage V1 to the output 86, which is at a voltage that is relatively high.


When a positive-going wave front V(Phj) arrives the Phj point 82 on the RTWO, input 2 of the amplifier 40 goes positive first. This causes one of the p-channel transistors (42 in FIG. 2A) in the amplifier 40 to turn OFF, and one of the n-channel transistors (48 in FIG. 2A) to turn ON. Because now there is no pair of transistors in amplifier 40 connected between a supply voltage, V1 or V2, and the output 52, the output 52 is in a high-impedance state, neither sourcing nor sinking current to the RTWO at position 86.


When the positive-going wave front V(Phk) arrives at the Phk point 84 on the RTWO, now input 1 of the amplifier goes positive. This has the effect of turning ON both n-channel transistors (46, 48 in FIG. 2A) and turning OFF both p-channel transistors (42, 44 in FIG. 2A). The output of the amplifier V( Ph0) now sinks current to the second supply voltage V2, which reinforces the negative-going wave front at the point 86 ( Ph0) on the RTWO to which the output of the amplifier 40 is connected.


Conversely, if we assume that the output of the amplifier is at a relative low voltage, then both n-channel transistors (46, 48 in FIG. 2A) are ON, sinking current from output 52 to the second supply voltage V2. Under this condition, both in1 and in2 are relatively positive. When a negative-going wave front arrives at the Phj point 82 on the RTWO, input 2 of the amplifier 40 goes relatively low. This causes one of the n-channel transistors (48 in FIG. 2A) to turn OFF and one of the p-channel transistors (42 in FIG. 2A) to turn ON. Because there is no pair of transistors connected between a supply voltage and the output, the output 52 is in a high-impedance state, neither sourcing nor sinking current to the RTWO at position 86. When the negative-going wave front arrives at the Phk point 84 on the RTWO, input 1 goes relatively low, causing both n-channel transistors (46, 48 in FIG. 2A) to turn OFF and both p-channel transistors (42, 44 in FIG. 2A) to turn ON, thereby sourcing current from the first supply voltage V1 to the output 52. Again, this reinforces the positive-going wave front at the point 86 on the RTWO to which the output of the amplifier 52 is connected.



FIG. 4A shows a timing diagram of the various waveforms involved. V(Phj) is the waveform of a positive-going wave at Phj, V(Phk) is a positive going wave a Phk, and V(Ph0) is the output of the amplifier 40 at position 86 in FIG. 3. I(out p) is the output current through the p-channel transistors (42, 44 in FIG. 2A) and I(out n) is the output current through the n-channel transistors (46, 48 in FIG. 2A). I(out n+p) is the resultant output current from the amplifier 40. ISF2 is the impulse sensitivity function, α(ωt) is the cyclostationary noise function, and Γeff is the effective impulse sensitivity function. As is clear from the timing diagram, the output of the amplifier I(out n+p) has a dwell time τpch 92, which separates the time when the amplifier 40 is sourcing current from the time when the amplifier 40 is sinking current. It is the time when the amplifier 40 is in the high impedance state. It is also clear that the time when the amplifier 40 is in the high impedance state aligns with the ISF2 for the oscillator, which is the time when the oscillator is most sensitive to phase noise. Therefore, arranging the inputs of the amplifier 40 to create a dwell time 92 reduces the phase noise of the oscillator, because it reduces the energy input to the oscillator during the time when the oscillator is most sensitive. The size of the cyclostationary noise source is also minimized, resulting in a lower effective ISF.


The size of the delay or dwell time τpch (Phj−Phk) is adjustable, as shown in FIG. 3. The tap for Phj can be adjusted from Ph4, to Ph3, to Ph2 while the tap for Phk can be adjusted to Ph−1 to Ph0, to Ph1. To be most effective in reducing noise, the time difference τpch between Phj and Phk should be on the order of the output transition time or rise and fall time of the wave front on the oscillator. This allows precise alignment of the amplifier's switching with the transition of the wave front at Ph0. In fact, the goal here is to arrange the input connections so that the amplifier switches at a desirable point on the transition of the wave front at Ph0. FIG. 4B, the inset in FIG. 4A, illustrates the negative-going wave front and two instants in time T1 and T2 at which the amplifier output can be designed to switch. Time T1 is at a time above a detection threshold of the wave front and occurs when the amplifier switches after the wave front has passed Ph0. Time T2 is a time below the detection threshold and occurs when the amplifier switches before or at the time the wave front passes Ph0. It is preferable to impact the negative-going wave front at a time T1, which means that it is preferable to connect the in1 input of the amplifier to a point Phk after Ph0. This permits the oscillator to run at its natural oscillation frequency, which is that determined only by the transmission line. If the in1 input is connected to a point before Ph0 so that the switching of the amplifier occurs at T2, i.e., before Ph0, the oscillator is forced off its natural oscillation frequency, which consumes more power, and raises the noise floor.


Operation of FIG. 2B


The amplifiers in FIG. 2B operate in a fashion similar to those of FIG. 2A, except that the wave front encounters the p-type amplifier 60 in FIG. 2B and the n-type amplifier 62 in FIG. 2B at different times. In particular, for the p-type amplifier 60 when a positive-going wave front approaches input 2, the amplifier 60 goes to a high impedance state. When the positive-going wave front reaches input 1, amplifier 60 is shut off, thereby preventing any boost to the negative-going wave on conductor 14a when it reaches position 86 in FIG. 3. The wave then continues to the next amplifier, which is now an n-type amplifier 62 in FIG. 2B. When the positive-going wave reaches input 2, amplifier 62 is enabled and when the wave reaches input 1, amplifier 62 is turned ON, thereby sinking current on the negative-going wave front traveling on conductor 14a. This means that there are times during the traveling of the wave when a positive-going wave front is not reinforced, while the negative-going wave front is a short time later and vice-versa. An advantage of the configuration of FIG. 2B is that the capacitive load of the RTWO is reduced, thereby reducing RTWO power consumption. The configuration also simplifies the layout wiring of the RTWO.


Direction Control


To encourage a wave front to travel in a preferred direction, an additional constraint must be imposed on the amplifiers' input connections. In particular, if the input connections are subjected to a constraint that input 2 is reached before input 1 and |Phj−Ph0|>|Phk−Ph0|, then the wave front propagation from Phj to Phk in FIG. 3 is encouraged, while a wave in the reverse direction is discouraged. FIG. 5A shows an equivalent circuit for the amplifier of FIG. 2A when a wave travels in the preferred direction. Having the positive difference between Phj and Ph0 larger than that between Phk and Ph0 provides sufficient time for the p-channel and n-channel transistors 42, 48 shown in FIG. 5A connected to the first V1 and second V2 supply voltages to reach very low resistance (resistance in the triode or linear region (RpON, RnON)) by the time the wave front reaches input 1, after first passing input 2. When the wave front reaches input 1, the amplifier 40 then switches with maximum gain to maximally boost the wave.



FIG. 5B shows an equivalent circuit for the amplifier of FIG. 2A when a wave travels opposite to the preferred direction. A wave front traveling in the reverse direction, upon reaching input 1 first, would turn ON the transistors in the amplifier 44, 46 connected to the output Ph0, as shown in FIG. 5B. However, these transistors 44, 46 have high resistance Rp, Rn due to their position in the amplifier. When the wave front reaches input 2, the amplifiers switch but with gain insufficient to maintain the wave. Therefore, waves traveling in the direction shown in FIG. 3 are encouraged and waves traveling in the opposite direction are discouraged.


Although the present invention has been described in considerable detail with reference to certain preferred versions thereof, other versions are possible. Therefore, the spirit and scope of the appended claims should not be limited to the description of the preferred versions contained herein.

Claims
  • 1. A multiphase oscillator comprising: one or an odd number of means for reversing a polarity of a wave traveling thereon;a pair of conductors arranged to form a closed loop when coupled with the polarity reversing means such that the wave traveling between the conductors imparts a first polarity between the conductors after a first traversal of the closed loop and a second polarity after a second traversal of the loop, wherein the pair of conductors comprises a first conductor and a second conductor; anda plurality of regeneration devices, each said regeneration device connected between the pair of conductors of the closed loop at a particular position on the loop and having an output that matches the polarity between the conductors at the position of the regeneration device after a traveling wave has passed the position, each said regeneration device having an output that transitions as the traveling wave is passing the position of the device, said transition including a dwell time during which the device output neither sources nor sinks current,wherein a first regeneration device of the plurality of regeneration devices comprises a first input, a second input, an output, and at least two transistors electrically connected in series, wherein the first and second inputs are connected to different positions on the first conductor, and wherein the output of the first regeneration device is connected to the second conductor,wherein the output of the first regeneration device is in a high-impedance state during the dwell time.
  • 2. The oscillator according to claim 1, wherein the first regeneration device has a characteristic switching time; and wherein the first input of the first regeneration device is connected to the first conductor at a first position and the second input of the first regeneration device is connected to the first conductor at a second position such that the time for a wave to travel between the first and second positions is approximately equal to the characteristic switching time of the first regeneration device.
  • 3. The oscillator according to claim 1, wherein the first input of the first regeneration device is connected to the first conductor at a first position, the second input of the first regeneration device is connected to the first conductor at a second position, and the output of the first regeneration device is connected to the second conductor at a third position, such that the time for a wave to travel between the first and third position is greater than the time for a wave to travel from the second position to the third position so that the wave is encouraged to travel in a direction from the first position to the third position.
  • 4. The oscillator according to claim 1, wherein the first regeneration device includes a pair of n-channel transistors and a pair of p-channel transistors; andwherein each transistor has a gate, a source and, a drain, a channel being present between the source and the drain for conducting current when the gate exceeds a threshold voltage,wherein the channels of the p-channel transistors are connected in series and between a first supply voltage and the output of the first regeneration device,wherein the channels of the n-channel transistors are connected in series between a second supply voltage and the output of the first regeneration device,wherein the gates of the transistors whose drains are connected to the output are connected together and to a first position Phk on the closed loop, wherein the gates of the transistors whose sources are connected respectively to the supply voltages are connected together and to a second position Phj on the closed loop.
  • 5. The oscillator according to claim 1, wherein the first regeneration device includes a pair of p-channel transistors at a first position on the loop and a pair of n-channel transistors at a second position on the loop adjacent to the first position;wherein each transistor has a gate, a source and, a drain, a channel being present between the source and the drain for conducting current when the gate exceeds a threshold voltage,wherein the channels of the p-channel transistors are connected in series between a first supply voltage and the output of the first regeneration device,wherein the channels of the n-channel transistors are connected in series between a second supply voltage and the output of the first regeneration device,wherein the gate of the p-channel transistor whose drain is connected to the output is connected to a position Phk on the closed loop, andwherein the gate of the p-channel transistor whose source is connected to the first supply is connected to a position Phj on the closed loop,wherein the gate of the n-channel transistor whose drain is connected to the output is connected to a position Phk on the closed loop, andwherein the gate of the p-channel transistor whose source is connected to the second supply is connected to a position Phj on the closed loop.
  • 6. A method for reducing phase noise in a multiphase oscillator, the method comprising: providing a plurality of negative resistance devices along a differential transmission line of the oscillator, each supplying energy to the oscillator to maintain oscillations of the oscillator, wherein the differential transmission line is connected in a closed loop, and wherein the differential transmission line comprises a first conductor and a second conductor; andswitching the output of each negative resistance device in synchronism with the oscillations of the oscillator, such that, during the switching, the output has a time in which the negative resistance device neither sources current into nor sinks current from the oscillator, wherein the phase noise of the multiphase oscillator is reduced,wherein a first negative resistance device of the plurality of negative resistance devices comprises a first input, a second input, an output, and at least two transistors electrically connected in series, wherein the first and second inputs are connected to different positions on the first conductor, and wherein the output of the first negative resistance device is connected to the second conductor,wherein the output of the first negative resistance device is in a high-impedance state during the dwell time.
  • 7. The method for reducing phase noise according to claim 6, wherein the multiphase oscillator is a rotary wave oscillator; and wherein the plurality of negative resistance devices promotes a particular direction of a traveling wave on the rotary wave oscillator.
  • 8. The method for reducing phase noise according to claim 6, wherein crowbar current in the negative resistance devices is eliminated.
  • 9. The method of claim 6, wherein the at least two transistors comprise a first p-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain;wherein the at least two transistors further comprise a second p-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain, wherein the channels of the first and second p-channel transistors are electrically connected in series between the output of the first negative resistance device and a first supply voltage,wherein the gate of the first p-channel transistor is electrically connected to the first input, and wherein the gate of the second p-channel transistor is electrically connected to the second input.
  • 10. The method of claim 9, further comprising: a first n-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain; anda second n-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain, wherein the channels of the first and second n-channel transistors are electrically connected in series between the output of the first negative resistance device and a second supply voltage,wherein the gate of the first n-channel transistor is electrically connected to the first input, and wherein the gate of the second n-channel transistor is electrically connected to the second input.
  • 11. The method of claim 6, wherein the at least two transistors comprise a first n-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain;wherein the at least two transistors further comprise a second n-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain, wherein the channels of the first and second n-channel transistors are electrically connected in series between the output of the first negative resistance device and a supply voltage,wherein the gate of the first n-channel transistor is electrically connected to the first input, and wherein the gate of the second n-channel transistor is electrically connected to the second input.
  • 12. The oscillator of claim 1, wherein the at least two transistors comprise a first p-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain;wherein the at least two transistors further comprise a second p-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain, wherein the channels of the first and second p-channel transistors are electrically connected in series between the output of the first regeneration device and a first supply voltage,wherein the gate of the first p-channel transistor is electrically connected to the first input, and wherein the gate of the second p-channel transistor is electrically connected to the second input.
  • 13. The oscillator of claim 12, further comprising: a first n-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain; anda second n-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain, wherein the channels of the first and second n-channel transistors are electrically connected in series between the output of the first regeneration device and a second supply voltage,wherein the gate of the first n-channel transistor is electrically connected to the first input, and wherein the gate of the second n-channel transistor is electrically connected to the second input.
  • 14. The oscillator of claim 1, wherein the at least two transistors comprise a first n-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain;wherein the at least two transistors further comprise a second n-channel transistor comprising a gate, a source, a drain, and a channel between the source and drain, wherein the channels of the first and second n-channel transistors are electrically connected in series between the output of the first regeneration device and a supply voltage,wherein the gate of the first n-channel transistor is electrically connected to the first input, and wherein the gate of the second n-channel transistor is electrically connected to the second input.
US Referenced Citations (96)
Number Name Date Kind
5302920 Bitting Apr 1994 A
5584067 Buer et al. Dec 1996 A
5592126 Boudewijns et al. Jan 1997 A
5652549 Unterricker et al. Jul 1997 A
5825211 Smith et al. Oct 1998 A
5945847 Ransijn Aug 1999 A
6002274 Smith et al. Dec 1999 A
6150886 Shimomura Nov 2000 A
6157037 Danielson Dec 2000 A
6259747 Gustafsson et al. Jul 2001 B1
6281759 Coffey Aug 2001 B1
6323737 Broekaert Nov 2001 B1
6396359 Hajimiri et al. May 2002 B1
6426662 Arcus Jul 2002 B1
6556089 Wood Apr 2003 B2
6566968 Aghahi May 2003 B2
6781424 Lee et al. Aug 2004 B2
6856208 Lee et al. Feb 2005 B2
6870431 Afghahi Mar 2005 B2
6900699 Kim May 2005 B1
6943599 Ngo Sep 2005 B2
6995620 Afghahi Feb 2006 B2
7005930 Kim et al. Feb 2006 B1
7085668 Johnson Aug 2006 B2
7088154 Ngo Aug 2006 B2
7091802 Ham et al. Aug 2006 B2
7130604 Wong et al. Oct 2006 B1
7218180 Wood May 2007 B2
7224199 Kang May 2007 B1
7224235 De Ranter et al. May 2007 B2
7236060 Wood Jun 2007 B2
7242272 Ham et al. Jul 2007 B2
7274262 Ham et al. Sep 2007 B2
7295076 Kim et al. Nov 2007 B2
7307483 Tzartzanis et al. Dec 2007 B2
7315219 Chiang Jan 2008 B2
7339439 Roubadia et al. Mar 2008 B2
7378893 Kang May 2008 B1
7397230 Tabaian et al. Jul 2008 B2
7409012 Martin et al. Aug 2008 B2
7446578 Huang Nov 2008 B2
7471153 Kee et al. Dec 2008 B2
7482884 Wang et al. Jan 2009 B2
7504895 Neidorff Mar 2009 B2
7511588 Gabara Mar 2009 B2
7513873 Shifrin Apr 2009 B2
7515005 Dan Apr 2009 B2
7541794 Tabaian et al. Jun 2009 B2
7545225 Beccue Jun 2009 B2
7551038 Jang et al. Jun 2009 B2
7571337 Zhai et al. Aug 2009 B1
7577225 Azadet et al. Aug 2009 B2
7609756 Wood Oct 2009 B2
7612621 Kim et al. Nov 2009 B2
7616070 Tzartzanis et al. Nov 2009 B2
7656239 Bietti et al. Feb 2010 B2
7656336 Wood Feb 2010 B2
7656979 Leydier et al. Feb 2010 B2
7663328 Gonder Feb 2010 B2
7715143 Bliss et al. May 2010 B2
7741921 Ismailov Jun 2010 B2
7782988 Ziesler Aug 2010 B2
7833158 Bartz Nov 2010 B2
7847643 Da Dalt Dec 2010 B2
7885625 Muhammad et al. Feb 2011 B2
7893778 Mohtashemi et al. Feb 2011 B2
7907023 Liang et al. Mar 2011 B2
7911284 Kuwano Mar 2011 B2
7924076 Suzuki et al. Apr 2011 B2
7936193 Van Der Wel et al. May 2011 B2
7944316 Watanabe et al. May 2011 B2
7952439 Heggemeier et al. May 2011 B1
7973609 Ohara et al. Jul 2011 B2
7995364 Shiu Aug 2011 B2
8008981 Hong et al. Aug 2011 B2
8049563 Aoki et al. Nov 2011 B2
8089322 Martchovsky et al. Jan 2012 B2
8169267 Le Grand De Mercey May 2012 B2
8410858 Wood Apr 2013 B2
20050225365 Wood Oct 2005 A1
20060208776 Tonietto et al. Sep 2006 A1
20080074202 Gabara Mar 2008 A1
20090322394 Song et al. Dec 2009 A1
20100117744 Takinami et al. May 2010 A1
20100156549 Uemura et al. Jun 2010 A1
20100321121 Mohtashemi Dec 2010 A1
20110095833 Mohtashemi et al. Apr 2011 A1
20110156760 Bhuiyan et al. Jun 2011 A1
20110156773 Beccue Jun 2011 A1
20110195683 Brekelmans et al. Aug 2011 A1
20110286510 Levantino et al. Nov 2011 A1
20120008717 van Sinderen et al. Jan 2012 A1
20120013363 Takinami et al. Jan 2012 A1
20120013407 Takinami et al. Jan 2012 A1
20120025918 Wang et al. Feb 2012 A1
20120319783 Martchovsky et al. Dec 2012 A1
Foreign Referenced Citations (1)
Number Date Country
WO 0189088 Nov 2001 WO
Non-Patent Literature Citations (2)
Entry
Wood et al., Rotary Traveling-Wave Oscillator Arrays: A New Clock Technology, IEEE Journal of Solid-State Circuits, vol. 36, No. 11, Nov. 2001, 12 pages.
International Search Report and Written Opinion of the International Searching Authority in PCT application No. PCT/US2012/067630, dated Mar. 26, 2013, 11 pages.
Related Publications (1)
Number Date Country
20130154750 A1 Jun 2013 US