Abstract: The present disclosure describes methods and apparatus for generating expanded code words to support error correction in a data communication system. In some aspects data to be encoded and a first subset of bits of a first bit sequence are obtained. A first combined bit sequence is generated by combining the data and the first subset of bits. A first code word is generated by applying an error correcting code to the first combined bit sequence. The first code word is combined with the first bit sequence, resulting in first encoded data that includes both first parity information and the data. The generating, applying, and combining are repeated with a second subset of bits of a second bit sequence, resulting in second encoded data that includes both second parity information and the data, the second encoded data being based on a second code word rather than the first code word.

Abstract: Systems and methods associated with origin dodging for a transmitted signal are described. One method includes receiving a transmission sequence for transmission to a receiver. The transmission sequence includes a sequence of transmit symbols and each transmit symbol corresponds to a coordinate pair positioning the transmit symbol's phase on an I-Q plane. The method includes sampling and filtering the transmission sequence to create transition samples and determining whether any transition sample is within a predetermined radius of an origin of the I-Q plane. When a transition sample is positioned within the radius, the method includes generating a dodging symbol and inserting the dodging symbol into the transmission sequence to create a modified transmission sequence. A filtered signal that includes filtered samples of the modified transmission sequence is provided.

Abstract: The present invention relates, in part, to heat transfer and refrigerant compositions and methods that include HFC-32; HFO-1234ze and HFC-125.

Abstract: A Viterbi decoder module includes a branch metric module configured to calculate branch metrics corresponding to a continuous phase modulated signal. Each of the branch metrics corresponds to a respective path between stages of the Viterbi decoder module. A path metric module is configured to calculate a first cost metric associated with the first state of the next stage based on the first branch metric and the second branch metric, and calculate a second cost metric associated with the second state of the next stage based on the third branch metric and the fourth branch metric. A traceback module is configured to determine a maximum likelihood path between stages of the Viterbi decoder based on the first cost metric and the second cost metric. The Viterbi decoder module is configured to output decoded data based on the maximum likelihood path.

Abstract: The present invention relates, in part, to heat transfer and refrigerant compositions and methods that include HFC-32; HFO-1234ze and HFC-125.

Abstract: The present invention relates, in part, to heat transfer compositions, and associated systems and methods, which include a first composition selected from the group consisting of HFO-1233zd, HFC-245fa, and combinations of these: and optionally, a second composition selected from the group consisting of HFO-1234ze, HFC-134a, and combinations of these.

Abstract: The present invention relates, in part, to heat transfer and refrigerant compositions and methods that include HFC-32; HFO-1234ze and HFC-125.

Abstract: The present invention relates, in part, to heat transfer compositions and methods that include (a) from about 65% to about 75% by weight of HFC-32; (b) from about 15% to about 35% by weight of a compound selected from unsaturated —CF3 terminated propenes, unsaturated —CF3 terminated butenes, and combinations of these; and (c) from greater than about 0% to less than about 10% by weight of CO2, provided that the amount of component (c) is effective to improve heating capacity of the composition and reduce the defrost cycle in refrigerant applications, as compared to compositions lacking this component.

Abstract: Systems and methods and memory media for performing modulation type detection. An attempt is made to estimate an underlying symbol rate of a received signal. The received signal is compensated for carrier frequency offset. Two candidates for symbol timing offset are estimated from the compensated signal. The compensated signal is downsampled using each offset candidate. A set of features is computed for each of the two downsampled signals. For each downsampled signal, the set of features is compared to a corresponding set of thresholds to obtain a corresponding set of comparison results. The two sets of comparison results are used to determine the modulation type of the received signal. A second method for estimating symbol rate may be performed if the modulation type is found to be FSK.

Abstract: Systems and methods and memory media for performing modulation type detection. An attempt is made to estimate an underlying symbol rate of a received signal. The received signal is compensated for carrier frequency offset. Two candidates for symbol timing offset are estimated from the compensated signal. The compensated signal is downsampled using each offset candidate. A set of features is computed for each of the two downsampled signals. For each downsampled signal, the set of features is compared to a corresponding set of thresholds to obtain a corresponding set of comparison results. The two sets of comparison results are used to determine the modulation type of the received signal. A second method for estimating symbol rate may be performed if the modulation type is found to be FSK.