Abstract: Systems and methods for frequency synthesis using a gapper. A frequency synthesizer may comprise a gapper, a first integer divider and a Phase Locked Loop (PLL). When a frequency of an output signal is intended to be greater than a corresponding input signal, a factor can be borrowed by the gapper from the first integer divider to generate a rational divide ratio G that is greater 1 in order for the gapper to be capable of performing the division by G. The PLL is capable of multiplying a gapped signal output from the first integer divider and attenuating jitter from the gapped signal.

Abstract: Systems and methods for frequency synthesis using a gapper. A frequency synthesizer may comprise a gapper, a first integer divider and a Phase Locked Loop (PLL). When a frequency of an output signal is intended to be greater than a corresponding input signal, a factor can be borrowed by the gapper from the first integer divider to generate a rational divide ratio G that is greater 1 in order for the gapper to be capable of performing the division by G. The PLL is capable of multiplying a gapped signal output from the first integer divider and attenuating jitter from the gapped signal.

Abstract: A machine implemented method includes determining a signal modulation for each of a plurality of profiles; generating a first indicator indicating a signal modulation determined for a first profile in the plurality of profiles; generating a second indicator indicating a relationship between the signal modulation for the first profile and the signal modulation for each of the other profiles; notifying at least one node of the first and second indicators.

Abstract: A method in a first node of a network comprises computing a packet duration when using a first unicast profile with a first type preamble and a packet duration when using a second unicast profile with a second type preamble; comparing the computed packet durations so as to determine one from the first and second unicast profiles which yields a shorter duration; and sending the packet to a second node by using the determined unicast profile.

Abstract: Systems and methods for Phase-Locked Loop (PLL) based frequency synthesizer comprising a dynamic fraction divider in a feedback loop. The dynamic fraction divider employs a dynamic divide ratio that dynamically changes with the jitters and noise spurs contained in an input signal to the PLL, and generates a feedback signal used to adjust the PLL output frequency. The dynamic divide ratio may be determined by comparing the phases of the PLL output signal and the input signal.

Abstract: A CFO tracking loop module comprises: a numerically-controlled oscillator (NCO) that calculates a phase output; a CFO phase error block that generates a corrected NCO phase output by subtracting half of residual CFO phase error from the NCO phase output; a multiplier that corrects pilot subcarrier's phase by multiplying complex values of the pilot subcarriers by a conjugated complex value of the corrected NCO phase output; a pilot processor that generates a phase error by averaging phases over pilot subcarriers; and a loop filter that filters phase error from the pilot processor and updates the NCO with the filtered phase error.

Abstract: A frequency-domain based echo and NEXT canceller is provided. The canceller uses log2 encoding to precondition the error signal representing the echo. An improved gradient constraint is applied on at least a portion of a full weight vector in a least-mean-square algorithm. The least-mean-square algorithm is used to compute filter coefficients. The filter coefficients are multiplied by a frequency-domain data vector using a frequency-domain multiplier to generate frequency-domain output vector.

Abstract: A method in a first node of a network comprises computing a packet duration when using a first unicast profile with a first type preamble and a packet duration when using a second unicast profile with a second type preamble; comparing the computed packet durations so as to determine one from the first and second unicast profiles which yields a shorter duration; and sending the packet to a second node by using the determined unicast profile.

Abstract: A headend transmitter that transmits 1024 QAM including a 256 QAM modulator which has been modified to have more aggressive forward error correction processing. The 256 QAM modulator outputs 256 QAM points to a summer. Another data modulator receives additional data to be transmitted in a separate, substantially less complex constellation. This modulator processes the additional data to do forward error correction thereon and then maps the encoded data into a less complex constellation such as QPSK, 16 QAM etc. The additional data constellation points are then amplified in a variable gain amplifier and fed to a summer where each additional data point is added by vector summation to one 256 QAM point. The output 1024 QAM point is filtered and shifted to the desired transmission frequency. Legacy cable modem receivers can still receive the 256 QAM point since the addition of the new data just appears to be noise which they can overcome using the parity bits encoded in the transmitted symbols.

Abstract: An apparatus and method for packet detection using cross-correlation in the presence of frequency offset. The method comprises: segmenting a received signal; and cross-correlating each segment with an expected signal. The apparatus comprises a slicer that segments a received signal; and a cross correlator that cross-correlates each segment with an expected signal.

Abstract: A method of performing overlap-and-add length for zero-padded suffixes. The method includes derotating received information symbol samples. The derotated received information symbol samples include a first set of derotated received information symbol samples and a second set of derotated received information symbol samples. The first set of derotated received information symbol samples are stored in a buffer. The second set of derotated received information symbol samples are provided to a received sample processing unit. The received zero-padded suffix samples are deroted. Based upon an overlap-and-add length, at least a fraction of the derotated received zero-padded suffix samples is added with at least a fraction of the first set of derotated received information symbol samples to produce multiple summed samples. The multiple summed samples is provided to the received sample processing unit.

Abstract: Systems and methods for digital communication using an inexpensive reference crystal are described herein. Some illustrative embodiments include a method that includes setting a center frequency of a local oscillator used by a radio frequency (RF) transceiver, sequentially applying each of a plurality of predetermined offsets to the center frequency of the local oscillator, determining a plurality of metrics indicative of the quality of a received signal (each of the plurality of metrics corresponding to a different predetermined offset of the plurality of predetermined offsets), and selecting a predetermined offset of the plurality of predetermined offsets that results in a metric indicating a received signal that is higher in quality than the received signal that results when applying each of the remaining predetermined offsets of the plurality of offsets.

Abstract: A headend transmitter that transmits 1024 QAM including a 256 QAM modulator which has been modified to have more aggressive forward error correction processing. The 256 QAM modulator outputs 256 QAM points to a summer. Another data modulator receives additional data to be transmitted in a separate, substantially less complex constellation. This modulator processes the additional data to do forward error correction thereon and then maps the encoded data into a less complex constellation such as QPSK, 16 QAM etc. The additional data constellation points are then amplified in a variable gain amplifier and fed to a summer where each additional data point is added by vector summation to one 256 QAM point. The output 1024 QAM point is filtered and shifted to the desired transmission frequency. Legacy cable modem receivers can still receive the 256 QAM point since the addition of the new data just appears to be noise which they can overcome using the parity bits encoded in the transmitted symbols.

Abstract: A method in a first node of a network comprises computing a packet duration when using a first unicast profile with a first type preamble and a packet duration when using a second unicast profile with a second type preamble; comparing the computed packet durations so as to determine one from the first and second unicast profiles which yields a shorter duration; and sending the packet to a second node by using the determined unicast profile.

Abstract: A method of performing overlap-and-add length for zero-padded suffixes. The method includes derotating received information symbol samples. The derotated received information symbol samples include a first set of derotated received information symbol samples and a second set of derotated received information symbol samples. The first set of derotated received information symbol samples are stored in a buffer. The second set of derotated received information symbol samples are provided to a received sample processing unit. The received zero-padded suffix samples are deroted. Based upon an overlap-and-add length, at least a fraction of the derotated received zero-padded suffix samples is added with at least a fraction of the first set of derotated received information symbol samples to produce multiple summed samples. The multiple summed samples is provided to the received sample processing unit.

Abstract: A CFO tracking loop module comprises: a numerically-controlled oscillator (NCO) that calculates a phase output; a CFO phase error block that generates a corrected NCO phase output by subtracting half of residual CFO phase error from the NCO phase output; a multiplier that corrects pilot subcarrier's phase by multiplying complex values of the pilot subcarriers by a conjugated complex value of the corrected NCO phase output; a pilot processor that generates a phase error by averaging phases over pilot subcarriers; and a loop filter that filters phase error from the pilot processor and updates the NCO with the filtered phase error.

Abstract: An apparatus and method for packet detection using cross-correlation in the presence of frequency offset. The method comprises: segmenting a received signal; and cross-correlating each segment with an expected signal. The apparatus comprises a slicer that segments a received signal; and a cross correlator that cross-correlates each segment with an expected signal.

Abstract: A system and method of flexible channel allocation in an ultra wideband frequency hopping communication system is disclosed. In one embodiment, a method includes communicating radio signals through rapidly switching among a band group 6 according to a hopping pattern. The method also includes scanning the ultra wideband spectra to determine the band group 6 based on the hopping pattern of the radio signals. In another embodiment, a method includes scanning ultra wideband spectra to eliminate any frequency band of the ultra wideband spectra from a list of available frequency bands when the any frequency band is currently used, selecting a band group in combination of two or more frequency bands to communicate radio signals with an optimal transmission power and/or maximum range, and communicating the radio signals through rapidly switching among the band group.

Abstract: A method of adjusting overlap-and-add length for zero-padded suffixes. The method includes, based on a channel impulse response, estimating an effective channel length. When the effective channel length is less than a default overlap-and-add length and greater than a minimum length, the method includes setting the overlap-and-add length to the effective channel length. When the effective channel length is less than the minimum length, the method includes setting the overlap-and-add length to the minimum length. When the effective channel length is greater than the default overlap-and-add length, the method includes setting the overlap-and-add length to the default overlap-and-add length.

Abstract: In at least some embodiments, a communication system includes a receiver having a local oscillator (LO) for each of a plurality of frequency bands. Each LO is controlled by a separate phase-locked loop (PLL) that tracks carrier frequency offset (CFO) using a common phase error (CPE). The CPE is selectively weighted based on at least one inter-band frequency correlation (IFC) coefficient.