Abstract: A system and method which compensates for phase mixer circuit non-linearities within a clock and data recovery (CDR) system during active operation. The CDR system includes compensation circuitry and phase accumulation circuitry. The compensation circuitry generates a first compensation signal based on a first compensation value. The phase accumulation circuitry receives the first compensation signal and a phase accumulator input update signal. The phase accumulation circuitry combines the first compensation signal with the phase accumulator input update signal to compensate for a first non-linearity within phase mixer (PMI) circuitry.

Abstract: A system and method that measures the code non-linearity of a phase mixer (PMIX) during active operation of a clock and data recovery (CDR) circuitry. The PMIX circuitry generates a clock signal based on the PMIX codes. The PMIX circuitry receives a plurality of codes and based on the code value, adjusts the phase of the PMIX output clock signal. A number of times each of the plurality of PMIX codes occurs within a respective time period is determined. Non-linearity values are determined based on the number of times. The non-linearity values are stored in a memory.

Abstract: A system and method which compensates for phase mixer circuit non-linearities within a clock and data recovery (CDR) system during active operation. The CDR system includes compensation circuitry and phase accumulation circuitry. The compensation circuitry generates a first compensation signal based on a first compensation value. The phase accumulation circuitry receives the first compensation signal and a phase accumulator input update signal. The phase accumulation circuitry combines the first compensation signal with the phase accumulator input update signal to compensate for a first non-linearity within phase mixer (PMI) circuitry.

Abstract: A method of constructing a waveform from N sampled data captured at N successive points in time, includes, in part, applying the N sampled data, K data at a time, to each of M delayed replicas of a filter that includes K taps so to generate N×M interpolated data. The waveform is then constructed from the N sampled data and the N×M interpolated data.

Abstract: A re-timer device includes transceiver circuitry. The transceiver circuitry includes clock generation circuitry and first receiver circuitry. The clock generation circuitry generates a first clock signal. The first receiver circuitry receives the first clock signal and a first input signal. The first receiver circuitry generates a first frequency offset value based on the first input signal and the first clock signal. The first input signal has a first frequency and the first clock signal has a second frequency different than the first frequency. The first receiver circuitry outputs the first frequency offset value.

Abstract: A method of constructing a waveform from N sampled data captured at N successive points in time, includes, in part, applying the N sampled data, K data at a time, to each of M delayed replicas of a filter that includes K taps so to generate N×M interpolated data. The waveform is then constructed from the N sampled data and the N×M interpolated data.

Abstract: Catalyst systems and solution olefin polymerization processes using a combination of titanium compounds (e.g. halides) with vanadium compounds (e.g. halides or oxyhalides) with tri-n-octyl aluminum (TNOAL) as a co-catalyst, which provides lower in situ oligomerization of olefins that are incorporated into the homopolymer. This feature provides a higher density homopolymer using TNOAL, which enhances polymer properties such as increased moisture barrier and stiffness. Multi-reactor systems and solution olefin polymerization processes comprising this catalyst system.

Abstract: Catalyst systems and solution olefin polymerization processes using a combination of titanium compounds (e.g. halides) with vanadium compounds (e.g. halides or oxyhalides) with tri-n-octyl aluminum (TNOAL) as a co-catalyst, which provides lower in situ oligomerization of olefins that are incorporated into the homopolymer. This feature provides a higher density homopolymer using TNOAL, which enhances polymer properties such as increased moisture barrier and stiffness. Multi-reactor systems and solution olefin polymerization processes comprising this catalyst system.

Abstract: A BGR circuit for sub-1V ICs utilizes a voltage chopping circuit and/or a current chopping circuit and a low-frequency filter to stabilize the output reference voltage that is generated by an op-amp, a current mirror circuit, a CTAT stage, a PTAT stage, and an output stage. The voltage chopping circuit reduces input offset and 1/f noise by periodically alternating (time-averaging) the negative temperature dependent and positive temperature dependent voltages supplied by the CTAT and PTAT stages to the op-amp's input terminals. The current chopping circuit minimizes current variations caused by process-related differences in the current mirror devices by periodically alternating (time-averaging) three balanced currents generated by the current mirror circuit such that each current is transmitted equally to each of the CTAT, PTAT and output stages. The filter serves to maintain loop stability and remove the low frequency noise generated by the applied voltage and/or current chopping operations.

Abstract: A BGR circuit for sub-1V ICs utilizes a voltage chopping circuit and/or a current chopping circuit and a low-frequency filter to stabilize the output reference voltage that is generated by an op-amp, a current mirror circuit, a CTAT stage, a PTAT stage, and an output stage. The voltage chopping circuit reduces input offset and 1/f noise by periodically alternating (time-averaging) the negative temperature dependent and positive temperature dependent voltages supplied by the CTAT and PTAT stages to the op-amp's input terminals. The current chopping circuit minimizes current variations caused by process-related differences in the current mirror devices by periodically alternating (time-averaging) three balanced currents generated by the current mirror circuit such that each current is transmitted equally to each of the CTAT, PTAT and output stages. The filter serves to maintain loop stability and remove the low frequency noise generated by the applied voltage and/or current chopping operations.

Abstract: The present disclosure relates to catalysts comprising two heterogeneous chromium catalysts for the polymerization of olefins are provided herein. The catalysts, as well as related compositions and methods using the same, may be used to for the production of polyolefins, including for the production of bimodal molecular weight distribution polyolefins, e.g., polyethylene and copolymers of ethylene and 1-hexene.

Abstract: The present disclosure provides metallocene catalysts for use in polymerization processes. Such catalysts may be used to generate polymers with low branching and high molecular weights. Also, the present disclosure provides methods of bimodal polymerization resulting in a duality of average molecular weight polymers being simultaneously produced. In the system, the size of the polymers produced can be controlled by modifying the type and amount of catalyst activator.

Abstract: The present invention relates to novel methods for producing a bimodal or broad distribution of molecular weight polyolefin polymers using Cr/silica catalysts. In some aspects the methods utilize different pressures of hydrogen to tailor the properties of the polymer. In particular aspects, a method of preparing a polyolefin having a bimodal molecular weight distribution, comprising: (a) preparing a reaction mixture comprising a monomer, a catalyst, and an organic solvent; (b) heating the reaction mixture under a first set of reaction conditions to effect a first polymerization comprising the polymerization of a first fraction of the monomer; and (c) heating the reaction mixture under a second set of reaction conditions to effect a second polymerization comprising the polymerization of a second fraction of the monomer.

Abstract: The present disclosure provides metallocene catalysts for use in polymerization processes. Such catalysts may be used to generate polymers with low branching and high molecular weights. Also, the present disclosure provides methods of bimodal polymerization resulting in a duality of average molecular weight polymers being simultaneously produced. In the system, the size of the polymers produced can be controlled by modifying the type and amount of catalyst activator.

Abstract: The present invention relates to novel methods for producing a bimodal or broad distribution of molecular weight polyolefin polymers using Cr/silica catalysts. In some aspects the methods utilize different pressures of hydrogen to tailor the properties of the polymer. In particular aspects, a method of preparing a polyolefin having a bimodal molecular weight distribution, comprising: (a) preparing a reaction mixture comprising a monomer, a catalyst, and an organic solvent; (b) heating the reaction mixture under a first set of reaction conditions to effect a first polymerization comprising the polymerization of a first fraction of the monomer; and (c) heating the reaction mixture under a second set of reaction conditions to effect a second polymerization comprising the polymerization of a second fraction of the monomer.

Abstract: A high-temperature solution process for making an ethylene polymer blend having a controlled degree of long-chain branching is disclosed. Ethylene is polymerized in the presence of a first Ziegler-Natta catalyst comprising titanium, magnesium, and aluminum in the absence of hydrogen to produce a first ethylene polymer component having substantial long-chain branching. A second ethylene polymer component having little or no long-chain branching is also prepared. Both polymerizations are performed at a temperature from 140° C. to 250° C. The first and second ethylene polymer components are combined to give a polymer blend. The degree of long-chain branching in the blend is controlled by adjusting the relative amounts of the first and second ethylene polymer components. The invention enables the preparation of valuable products having a pre-determined degree of long-chain branching using readily available Zeigler-Natta catalysts, commercially practiced techniques, and conventional equipment.

Abstract: A process for the polymerization of olefin carried out in the presence of a Cr-oxide supported catalyst and a cocatalyst the improvement comprising polymerizing in the presence of an effective amount of hydrogen thereby obtaining an increased catalyst activity.

Abstract: A process for preparing a polyethylene in a multi-stage process is described. The process comprises pre-treating a Ziegler catalyst in a first stage in the presence of a 1-olefin/ethylene mixture or a 1-olefin to produce a LLDPE or VLDPE, which have the characteristics of a polymer prepared with a single-site catalyst, e.g. high levels of short-chain branching that are uniformly distributed. The contents of the first stage are then transferred to a second stage where an ethylene or an ethylene/1-olefin mixture is polymerized in the presence of the pre-treated catalyst to form a polyethylene with good processability.

Abstract: A process for making an ethylene homopolymer in the presence of an oxide-supported chromium catalyst is disclosed. A small amount of an ?-olefin contacted with the catalyst before polymerizing ethylene or introduced into an ethylene homopolymerization unexpectedly boosts process productivity. When used at part per million levels, the ?-olefin improves productivity while maintaining desirable polymer properties. The invention is particularly valuable for making HDPE resins useful for blow molding applications.

Abstract: A process for making an ethylene homopolymer in the presence of an oxide-supported chromium catalyst is disclosed. A small amount of an ?-olefin contacted with the catalyst before polymerizing ethylene or introduced into an ethylene homopolymerization unexpectedly boosts process productivity. When used at part per million levels, the ?-olefin improves productivity while maintaining desirable polymer properties. The invention is particularly valuable for making HDPE resins useful for blow molding applications.