Data-directed frequency-and-phase lock loop

Information

  • Patent Grant
  • 7504890
  • Patent Number
    7,504,890
  • Date Filed
    Friday, December 23, 2005
    18 years ago
  • Date Issued
    Tuesday, March 17, 2009
    15 years ago
Abstract
A data-directed frequency-and-phase lock loop for an offset-QAM modulated signal comprises a first multiplier that multiplies the signal by the output of a VCO. The output of the first multiplier is phase-shifted by a second multiplier, then convolved by a third multiplier. The output of the third multiplier is split, with each portion being passed through a frequency-shift multiplier and a frequency-and-phase lock loop. The output of the two frequency-and-phase lock loops is summed and returned to the VCO to complete the feedback loop.
Description
BACKGROUND

In order to provide the widest possible coverage for a digital transmission, such as for cell phones or a digital television broadcast, it's desirable to use multiple transmitters that are separated from each other spatially. This permits a wider area to be covered, uses less total broadcast power, and can help to fill in dark areas where the transmission from one transmitter may be blocked. Thus, using multiple transmitters can provide wider and more complete coverage for virtually any digital transmission.


However, using multiple transmitters creates a serious problem when the receiver is at a “seam” between two transmitters, because the additional signal can appear as a “ghost” that can be as large as the “main” signal. Furthermore, destructive interference creates a series of perfect or near perfect nulls.


Existing receiver technology handles ghosts by filtering them out in order to interpret the “main” signal. But in a multi-transmitter environment this strategy is unworkable. It makes little sense to design a system to filter out a ghost that can be an arbitrarily large fraction of the “main” signal's size. Furthermore, near the margins the best this subtractive strategy can ever provide is a signal strength equal to the stronger transmitter's signal—the energy from the secondary signal is wasted.


Even when the ghosts are smaller than 100% of the “main” signal, there is an equal probability of pre- and post-ghosts. In the most common situation, the strongest signal is the one following the most direct path. Ghosts are most often produced by “multipathing,” that is, by portions of the signal following paths of different lengths from the transmitter to the receiver. Thus, ghosts are typically produced by one or more strong reflections. The first signal to arrive is typically the most direct, and therefore the strongest, and so in the usual situation the ghost is a post-ghost. In a multi-transmitter environment, though, while the receiver is near a seam the stronger signal can easily arrive after the ghost. With signals arriving from two directions, it is possible that the more direct path may be the longer one. Consequently, pre-ghosts are about as likely as post-ghosts, and may be arbitrarily strong. Furthermore, if the transmitters are out of sync with each other by even a small amount, where the one lagging happens to be the closer one the receiver will likely see pre-ghosts.


Existing technology relies on the assumption that post-ghosts predominate (i.e., existing systems are not generally designed to deal with Raleigh fading). Thus, existing receivers generally will be either inefficient or incapable of dealing with a multi-transmitter environment, even if the ghosts are sufficiently small compared to the “main” signal.


In short, in a multi-transmitter environment, the “main” signal becomes a meaningless concept at the seams of the transmission. In order to operate efficiently in a multi-transmitter environment, a digital receiver must operate with a different paradigm. What is needed is a digital receiver that employs an additive strategy—that is, one in which the energy from one or more relatively large ghosts can be captured and used to aid in the synchronization process, rather than filtered out and discarded. Such a receiver could both function with ghosts 100% of the size of the “main” signal, and provides substantially superior performance whenever ghosts exceed about 70% of the size of the “main” signal.


From the receiver's perspective, most of the signal is useless for synchronization, because it is indistinguishable from white noise. The more information that is packed into a signal, the more closely it will resemble white noise, so this is both a desirable and inevitable feature of the signal. Nevertheless, some bandwidth must be “wasted” in order to provide the receiver a means to orient itself. Typically, one of two strategies is employed. In some systems, a pilot signal is included. This is a sharp peak of energy in a very narrow frequency band, which is very easy for the receiver to pick out.


A phase-lock loop, such as the one shown in FIG. 1, indicated generally at 100, is a typical way to synch up a receiver using a pilot. A multiplier 110 multiplies the signal and the output of a voltage controlled oscillator 120 (“VCO”) to produce a beat note (a sine wave with a frequency equal to the difference between the frequency of the pilot signal and the VCO's output). The beat note passes through a low-pass filter 130. The output of the filter 130 is amplified at 199 and input to the VCO 120 to complete the feedback loop. The low-pass filter 130 has competing design parameters. The more narrow the band pass of the filter 130 the smaller the response, so the slower the loop 100 is to lock up. However, a wide pass filter passes more noise and makes it harder for the loop 100 to capture at all.


It will be appreciated that the response of the loop 100 is driven by the frequency difference output of the first multiplier 110. The direction of error can only be determined by observing the slope of the time rate of change of the output. The second filter 130 distorts the sine wave, increasing the amplitude on the closer side, and decreasing it on the further side. Convergence is driven by this asymmetry of the distorted beat note.


However, because the amplitude of the beat note drops with increasing frequency difference, that distortion output drops as well, so the response of the phase-lock loop 100 decreases as the frequency of the VCO 120 diverges from the signal frequency. Thus, unless the signal happens to be close to the initial VCO 120 frequency, it will converge slowly, or not at all. A typical phase lock loop can capture when the initial VCO 120 frequency is within a factor of about 3-10 times the bandwidth of the loop.


Another, more robust, strategy for synching is to provide a signal in which information in the data is redundant in the frequency domain. The receiver can look for a correlation in the data created by this repetition to synch up. The receiver could use this same technique to find correlations in the data from signals from multiple transmitters. In mathematical terms, the correlation between the repeated signal portion can be identified by fully complex convolution. Convolution inherently corrects for the asymmetry produced by the slope of the Nyquist band, so that the peak value occurs when the limits of integration exactly correspond to the beginning and the end of the repeated data segment (and its negative time image).


A typical existing means for performing such a convolution is the Costas Loop, shown in FIG. 2. The Costas Loop operates on a complex signal, such as a QAM signal. As with the phase-lock loop, a first multiplier 210 multiplies the signal with the output of a VCO 220, though, as shown in FIG. 2, this is a complex multiplication, which produces both an I′ and a Q′ output. (It will be appreciated that the filter 230 may be a fully complex multiplier, as shown, or may simply be separate I and Q filters.) As with the phase-lock loop, the output of the first multiplier is passed through a low-pass filter 230 where the unwanted (frequency sum) portion of the multiplied signal is removed. The filtered I′ and Q′ are then multiplied by a second multiplier 240 to produce a beat note (assuming the sideband isn't balanced—otherwise it's merely a DC voltage.) The beat note is passed through a second low-pass filter 250, then amplified at 299 and returned to the VCO 220 to complete the feedback loop. Thus, the portion of the Costas loop following the second multiplier 240, which drives the convergence of the loop, is basically a phase-lock loop. Consequently, like the phase-lock loop, the Costas loop has the disadvantage of slow convergence.


A frequency-and-phase-lock loop (“FPLL”) (shown in FIG. 3, and described in U.S. Pat. No. 4,072,909 to Citta, which is hereby incorporated by reference in its entirety) provides faster convergence. The FPLL has a first low-pass filter 330 and a second low-pass filter 350 which perform the function of the second low-pass filter 250 in the Costas loop, which separate the averaging and noise-elimination functions. Thus, the first low-pass filter 330 can have a relatively wide band pass, so that the FPLL can acquire even when the signal and initial VCO frequencies are off by as much as a factor of 1000. The second low-pass filter 350 can have a relatively narrow band-pass, in order to give good averaging during lock-up. The output of the second multiplier 340 is a rectified sine wave with a DC offset. The DC offset provides the direction information, rather than an integration of a distorted sine wave, which provides a much stronger response when the frequency difference is relatively large. The signal from the second filter 350 is amplified at 399 and returned to the VCO 320 to complete the feedback loop.


A data-directed frequency acquisition loop (“DDFL”), as disclosed in the concurrently-filed application, entitled Data-Directed Frequency Acquisition Loop, which is hereby incorporated in its entirety, and shown in FIG. 4, provides a data-synch loop which combines the desired features of the Costas Loop—synching by finding a correlation in repeated data through convolution—with the desired faster convergence of a frequency-and-phase-lock loop. The DDFL is indicated generally at 400. A first multiplier 410 multiplies the input signal by the output of a VCO 420. The output of the first multiplier 410 is filtered by a first low-pass filter 415, and the filtered output is squared by a second multiplier 430. The I component is filtered by a second low-pass filter 440, then multiplied by the Q component by a third multiplier 450. The output of the third multiplier 450 is filtered by a third low-pass filter 460, amplified at 499, and returned to the VCO 420 to complete the feedback loop.


As previously discussed, ghosting can create a series of perfect or near perfect nulls in the signal, especially in urban environments, which contain numerous reflective surfaces. Although the DDFL provides a robust mechanism for synching a receiver, it is possible for a ghost to destroy the portion of the signal containing the repeated data in the Nyquist slope.


Therefore, what is needed is a system and method for synching a digital receiver that has the advantages of the DDFL, but which is even more robust. The present invention is directed towards this need, among others.





BRIEF DESCRIPTION OF THE DRAWINGS


FIG. 1 is a prior art phase lock loop.



FIG. 2 is a prior art Costas loop.



FIG. 3 is a prior art frequency-and-phase-lock loop.



FIG. 4 is data-directed frequency-acquisition loop.



FIG. 5 is a data-directed frequency-and-phase lock loop according to the present invention.



FIG. 6 is an example of a typical power spectrum of the output of a first multiplier in the data-directed frequency-and-phase lock loop of FIG. 5.



FIG. 7 is a typical power spectrum of the output of a third multiplier of the data-directed frequency-and-phase lock loop of FIG. 5, the third multiplier having the input illustrated in FIG. 6.





DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT

For the purposes of promoting an understanding of the principles of the invention, reference will now be made to the embodiment illustrated in the drawings and specific language will be used to describe the same. It will nevertheless be understood that no limitation of the scope of the invention is thereby intended, and alterations and modifications in the illustrated device, and further applications of the principles of the invention as illustrated therein, are herein contemplated as would normally occur to one skilled in the art to which the invention relates.


A data-directed frequency-and-phase lock loop (“DDFPLL”) according to the present invention provides even more robust acquisition than the DDFL, by simultaneously using signal redundancy in both Nyquist slopes in an offset-QAM signal to lock up. Furthermore, the DDFPLL provides a robust, continuous control signal. As with the DDFL, the DDFPLL combines desirable features of a Costas loop and a frequency-and-phase-lock loop; the DDFPLL synchs using redundancy of the data in the frequency domain, such as in a double sideband suppressed signal, but has an output that converges like the FPLL, and provides a control signal that is not disrupted by noise that displaces the signal phase by 90 degrees or less. Thus, the DDFPLL provides both highly robust frequency acquisition and highly robust phase-lock.


A preferred embodiment DDFPLL according to the present invention is shown in FIG. 5, and indicated generally at 500. The input signal and the output of a VCO 520 are multiplied by a first multiplier 510. FIG. 6 is an example of a typical power spectrum (in the frequency domain) of the output of the first multiplier 510. In order to separate the peaks generated by the correlation of the separate Nyquist slopes the output of the first multiplier is multiplied with a fixed frequency by a second multiplier 518. In the preferred embodiment this frequency is ¼ of the symbol rate, since this requires multiplication only by 1 and −1, and because it provides the maximum separation of the correlations of the two Nyquist slopes, but it will be appreciated that any frequency that results in shifting the distribution shown in FIG. 6 off the origin can theoretically be used.


The output of the second multiplier 518 is convolved by a third multiplier 530. FIG. 7 is a typical power spectrum of the output of the third multiplier 530 corresponding to the input illustrated in FIG. 6 (assuming the second multiplier 518 shifted the origin to the center of one of the two peaks, by multiplying by ¼ of the symbol rate).


The output of the third multiplier 530 is used to synch up through a pair of frequency acquisition loops. The signal is sent to a fourth frequency-shift multiplier 532 and a fifth frequency-shift multiplier 534. In the preferred embodiment the frequency-shift generated by these multipliers are ¼ and ¾ of the symbol rate, but it will be appreciated that this is a function of the frequency shift imposed by the second multiplier. The difference between the fourth and fifth frequency-shift multipliers is ½ of the symbol frequency. In the preferred embodiment, the fourth multiplier shifts the spectrum shown in FIG. 7 such that the center of the first peak is at the origin, and the fifth multiplier shifts the spectrum shown in FIG. 7 such that the center of the third peak is at the origin. (The origin and f(s) are identical.)


The I portions (in phase) of the outputs of the frequency-shift multipliers 532 and 534 are filtered by low pass filters 542 and 544, and then multiplied by the corresponding Q (quadrature) portion of the outputs of the frequency-shift multipliers 532 and 534 by a sixth multiplier 552 and a seventh multiplier 554. The outputs of the sixth and seventh multipliers 552 and 554 are summed by a summer 558. The output of the summer 558 is filtered by a third low-pass filter 560, amplified at 599, and returned to the VCO 520 to complete the feedback loop.


It will be appreciated that the elements of the circuit shown in FIG. 5 can be substituted, permutated, or both, to produce a number of equivalent alternative embodiment circuits. For example, it will be appreciated that the amplifier 599 may actually be incorporated into the filter 560. Those skilled in the art will recognize that filters typically include amplification to offset reductions in signal strength caused by the filtering. It will be appreciated that the amplification could equivalently be performed by a separate amplifier, either prior to or after filtration.


Furthermore, the complex multipliers shown in FIG. 5 comprise a number of real multipliers organized to produce the complex product of QAM signals. The complex multipliers can be produced by a variety of sets and arrangements of subcomponents. Furthermore, the subcomponents can be reorganized or rearranged in a number of ways to produce the same mathematical result, as will be obvious to a person of ordinary skill in the art, and as is commonly done as a matter of circuit engineering.


It will likewise be appreciated that many of these real “multipliers” can actually be substantially simpler hardware components. For example, the VCO can simply produce a signal of oscillating 1s and −1s. In this case, the potential multiplication required by the multipliers comprising the first complex multiplier 510 is limited to a change of signs. Similarly, the two of the multipliers comprising the second multiplier 530 multiply the same input by itself. Thus, the range of possible outputs contains only half the possibilities of the domain of inputs. Consequently, this function can more easily be performed by a lookup table that provides the square of the input than by an actual multiplier, which requires many more gates. Other simplifications of the hardware that are possible will be apparent to persons of ordinary skill in the art.


Comparing the circuit 500 with the circuit 400, it will be appreciated that the present invention comprises a pair of data-directed frequency acquisition loops, as disclosed in U.S. Provisional Patent Application No. 60/370,295. The phase-shift multipliers 518, 532, and 534 permit the two DDFLs to operate simultaneously, as described hereinabove, to detect redundancy in the data in each of the Nyquist slopes independently. When the response from one of the DDFLs is low due to a ghost that is destroying the redundancy in one of the Nyquist slopes, the overall response at the adder 558 is controlled by the response from the other of the DDFLs. Thus, no single ghost can prevent acquisition or destroy the phase-lock.


It will be appreciated that the circuit 500 can be adapted to provide symbol clock recovery, by replacing the summer 558 with a difference summer, and returning its signal to the symbol clock control rather than the VCO 520.


While the invention has been illustrated and described in detail in the drawings and foregoing description, the same is to be considered as illustrative and not restrictive in character, it being understood that only the preferred embodiment, and certain other embodiments deemed helpful in further explaining how to make or use the preferred embodiment, have been shown. All changes and modifications that come within the spirit of the invention are desired to be protected.

Claims
  • 1. A frequency acquisition and phase-lock loop having a symbol rate, comprising: a voltage controller oscillator that provides an I output and Q output;a first multiplier that receives the first input and the I and Q outputs, and provides I′ and Q′ outputs;a second multiplier that multiplies the I′ and Q′ outputs by a first fixed frequency to produce I″ and Q″ outputs;a third multiplier that receives the I″ and Q″ outputs and convolves them to produce I′″ and Q′″ outputs;a fourth multiplier that receives the I′″ and Q′″ outputs and multiplies them by a second fixed frequency to produce first I″″ and Q″″ outputs;a fifth multiplier that receives the I′″ and Q′″ outputs and multiplies them by a third fixed frequency to produce second I″″ and Q″″ outputs;first and second low-pass filters that receive the first and second I″″ outputs respectively, to produce first and second filtered I″″ outputs, respectively;a sixth and seventh multipliers that receive the first and second Q″″ outputs, respectively, and the first and second filtered I″″ outputs, respectively, to produce first and second response outputs, respectively;a summer that receives the first and second response outputs to produce a combined response signal;a third low-pass filter that receives the combined response signal to produce a filtered combined response signal;wherein the filtered combined response signal is fed back to the voltage controlled oscillator.
  • 2. The frequency acquisition and phase-lock loop of claim 1, wherein the first fixed frequency is ¼ of the symbol rate.
  • 3. The frequency acquisition and phase-lock loop of claim 1, wherein the second and third fixed frequencies differ by ½ of the symbol frequency.
  • 4. The frequency acquisition and phase-lock loop of claim 3, wherein the second fixed frequency is ¼ of the symbol rate.
  • 5. The frequency acquisition and phase-lock loop of claim 1, wherein the combined response signal is amplified before it is filtered.
  • 6. The frequency acquisition and phase-lock loop of claim 1, wherein the filtered combined response signal is amplified before it is returned to the voltage controller oscillator.
  • 7. A frequency acquisition and phase-lock loop having a symbol rate and comprising: a voltage controlled oscillator that provides an I output and a Q outputs;a first multiplier that receives the first input and the I and Q outputs, and provides I′ and Q′ outputs;a second multiplier that multiplies the I′ and Q′ outputs by ¼ the symbol rate to produce I″ and Q″ outputs;a third multiplier that receives the I″ and Q″ outputs and convolves them to produce I′″ and Q′″ outputs;a fourth multiplier that receives the I′″ and Q′″ outputs and multiplies them by ¼ of the symbol rate to produce first I″″ and Q″″ outputs;a fifth multiplier that receives the I′″ and Q′″ outputs and multiplies them by ¾ of the symbol rate to produce second I″″ and Q″″ outputs;first and second low-pass filters that receive the first and second I″″ outputs respectively to produce first and second filtered I″″ outputs, respectively;a sixth and seventh multiplier that receives the first and second Q″″ outputs, respectively, and the first and second filtered I″″ outputs, respectively, to produce first and second response outputs, respectively;a summer that receives the first and second response outputs to produce a combined response signal;a third low-pass filter that receives the combined response signal and provides a filtered combined response signal;an amplifier that receives the filtered combined response signal to produce an amplified filtered combined response signal that is fed back to the voltage controlled oscillator.
  • 8. A symbol clock recovery loop for a symbol clock having a symbol clock control, the symbol clock recovery loop having a symbol rate and comprising: a voltage controlled oscillator having an I output and a Q output;a first multiplier that receives the first input and the I and Q outputs, and provides I′ and Q′ outputs;a second multiplier that multiplies the I′ and Q′ outputs by a first fixed frequency to produce I″ and Q″ outputs;a third multiplier that receives the I″ and Q″ outputs and convolves them to produce I′″ and Q′″ outputs;a fourth multiplier that receives the I′″ and Q′″ outputs and multiplies them by a second fixed frequency to produce first I″″ and Q″″ outputs;a fifth multiplier that receives the I′″ and Q′″ outputs and multiplies them by a third fixed frequency to produce second I″″ and Q″″ outputs;first and second low-pass filters that receive the first and second I″″ outputs respectively to produce first and second filtered I″″ outputs, respectively;a sixth and seventh multiplier that receives the first and second Q″″ outputs, respectively, and the first and second filtered I″″ outputs, respectively, to produce first and second response outputs, respectively;a difference summer that receives the first and second response outputs to produce a difference response signal; anda third low-pass filter that receives the difference response signal to produce a filtered difference response signal.
  • 9. The frequency acquisition and phase-lock loop of claim 8, wherein the first fixed frequency is ¼ of the symbol rate.
  • 10. The frequency acquisition and phase-lock loop of claim 8, wherein the second and third fixed frequencies differ by ½ of the symbol frequency.
  • 11. The frequency acquisition and phase-lock loop of claim 10, wherein the second fixed frequency is ¼ of the symbol rate.
  • 12. The frequency acquisition and phase-lock loop of claim 8, wherein the difference response signal is amplified before it is filtered.
  • 13. The frequency acquisition and phase-lock loop of claim 8, wherein the filtered difference response signal is amplified before it is returned to the VCO.
CLAIM OF PRIORITY

This application is a continuation of Ser. No. 10/404,511 filed Apr. 1, 2003 now U.S. Pat. No. 6,995,617.

US Referenced Citations (109)
Number Name Date Kind
4072909 Citta Feb 1978 A
4567599 Mizoguchi Jan 1986 A
4712221 Pearce et al. Dec 1987 A
4815103 Cupo et al. Mar 1989 A
4833693 Eyuboglu May 1989 A
4856031 Goldstein Aug 1989 A
4866395 Hostetter Sep 1989 A
4989090 Campbell et al. Jan 1991 A
5052000 Wang et al. Sep 1991 A
5056117 Gitlin et al. Oct 1991 A
5058047 Chung Oct 1991 A
5127051 Chan et al. Jun 1992 A
5134480 Wang et al. Jul 1992 A
5142551 Borth et al. Aug 1992 A
5210774 Abbiate et al. May 1993 A
5278780 Eguchi Jan 1994 A
5311546 Paik et al. May 1994 A
5453797 Nicolas et al. Sep 1995 A
5471508 Koslov Nov 1995 A
5506636 Patel et al. Apr 1996 A
5508752 Kim et al. Apr 1996 A
5532750 Carney et al. Jul 1996 A
5537435 Carney et al. Jul 1996 A
5568098 Horie et al. Oct 1996 A
5568521 Williams et al. Oct 1996 A
5588025 Strolle et al. Dec 1996 A
5619154 Strolle et al. Apr 1997 A
5648987 Yang et al. Jul 1997 A
5668831 Claydon et al. Sep 1997 A
5692014 Basham et al. Nov 1997 A
5757855 Strolle et al. May 1998 A
5781460 Nguyen et al. Jul 1998 A
5781463 Ogawa et al. Jul 1998 A
5789988 Sasaki Aug 1998 A
5802461 Gatherer Sep 1998 A
5805242 Strolle et al. Sep 1998 A
5828705 Kroeger et al. Oct 1998 A
5835532 Strolle et al. Nov 1998 A
5862156 Huszar et al. Jan 1999 A
5870433 Huber et al. Feb 1999 A
5872817 Wei Feb 1999 A
5877816 Kim Mar 1999 A
5894334 Strolle et al. Apr 1999 A
5995154 Heimburger Nov 1999 A
6005640 Strolle et al. Dec 1999 A
6012421 Kusche et al. Jan 2000 A
6034734 De Haan et al. Mar 2000 A
6034998 Takashi et al. Mar 2000 A
6044083 Citta et al. Mar 2000 A
6069524 Mycynek et al. May 2000 A
6133785 Bourdeau Oct 2000 A
6133964 Han Oct 2000 A
6141384 Wittig et al. Oct 2000 A
6145114 Crozier et al. Nov 2000 A
6154487 Murai et al. Nov 2000 A
6178209 Hulyalkar et al. Jan 2001 B1
6195400 Maeda Feb 2001 B1
6198777 Feher Mar 2001 B1
6219379 Ghosh Apr 2001 B1
6222891 Liu et al. Apr 2001 B1
6226323 Tan et al. May 2001 B1
6233286 Wei May 2001 B1
6240133 Sommer et al. May 2001 B1
6249544 Azazzi et al. Jun 2001 B1
6260053 Maulik et al. Jul 2001 B1
6272173 Hatamian Aug 2001 B1
6275554 Bouillet et al. Aug 2001 B1
6278736 De Haan et al. Aug 2001 B1
6304614 Abbaszadeh et al. Oct 2001 B1
6307901 Yu et al. Oct 2001 B1
6333767 Patel et al. Dec 2001 B1
6356586 Kirshnamoorthy et al. Mar 2002 B1
6363124 Cochran Mar 2002 B1
6411341 De Haan et al. Jun 2002 B1
6411659 Liu et al. Jun 2002 B1
6415002 Edwards et al. Jul 2002 B1
6421378 Fukuoka et al. Jul 2002 B1
6438164 Tan et al. Aug 2002 B2
6452639 Wagner et al. Sep 2002 B1
6466630 Jensen Oct 2002 B1
6483872 Nguyen Nov 2002 B2
6490007 Bouillet et al. Dec 2002 B1
6493409 Lin et al. Dec 2002 B1
6507626 Limberg Jan 2003 B1
6535553 Limberg et al. Mar 2003 B1
6570919 Lee May 2003 B1
6573948 Limberg Jun 2003 B1
6611555 Smith et al. Aug 2003 B2
6665695 Brokish et al. Dec 2003 B1
6724844 Ghosh Apr 2004 B1
6734920 Ghosh et al. May 2004 B2
6803828 Tan et al. Oct 2004 B2
6829298 Abe et al. Dec 2004 B1
6985092 Jaffe et al. Jan 2006 B2
6995617 Citta et al. Feb 2006 B2
20010048723 Oh Dec 2001 A1
20020024996 Agazzi et al. Feb 2002 A1
20020051498 Thomas et al. May 2002 A1
20020067779 Jaffe et al. Jun 2002 A1
20020136329 Liu et al. Sep 2002 A1
20020154248 Wittig et al. Oct 2002 A1
20020172275 Birru Nov 2002 A1
20020172276 Tan et al. Nov 2002 A1
20020186762 Xia et al. Dec 2002 A1
20020191716 Xia et al. Dec 2002 A1
20030058967 Lin et al. Mar 2003 A1
20030206600 Vankka Nov 2003 A1
20040057538 Sathiavageeswaran et al. Mar 2004 A1
20040252755 Jaffe et al. Dec 2004 A1
Foreign Referenced Citations (4)
Number Date Country
WO 0101650 Jan 2001 WO
WO 0113516 Feb 2001 WO
WO 0143310 Jun 2001 WO
WO 0143384 Jun 2001 WO
Related Publications (1)
Number Date Country
20060159214 A1 Jul 2006 US
Continuations (1)
Number Date Country
Parent 10404511 Apr 2003 US
Child 11318265 US