Abstract: A method of decoding a low density parity check (LDPC) encoded block, with the LDPC code being defined by a parity check matrix including rows, includes processing the rows of the parity check matrix. The processing includes updating data in the rows using a split-row decoding algorithm. The updating includes partitioning each row into a plurality of partitions, and determining for each partition a first local minimum of the data of the partition. The method also includes comparing for each partition the first local minimum with a threshold, and updating at least some of the data of all partitions of the row using the local minimums or the threshold depending on the results of the comparing.

Abstract: Transient distortion is compensated for by multiplying an exponentially-decaying phase shift onto the distorted waveform. The exponentially decaying phase shift waveform is patterned after the transient which typically takes the form of an exponential and occurs upon introduction of power to a circuit or circuit component. A digital circuit produces an appropriate exponentially-decaying waveform which is used as the input for a look up table whose output is a complex sinusoidal waveform capable of compensating for the distortion. The complex sinusoid is multiplied onto the transmitted waveform. The decaying exponential is biased so that it crosses a threshold at which point the compensating circuitry is turned off.