Abstract: Systems and methods for performing loop length estimation are described. One embodiment includes a method which comprises receiving an echo signal for a loop under test where the echo signal is a per-port calibrated echo response obtained using frequency domain reflectometry single-ended line testing (FDR-SELT). The method further comprises analyzing characteristics of the echo signal to perform a loop length estimation based on data relating to ripple frequency as a function of loop length.

Abstract: Systems and methods for performing loop termination are described. One embodiment is a method that comprises receiving a per-port calibrated echo signal of a loop under test, receiving a region designation and a loop length for the loop under test, and determining whether the loop is terminated by a short or open termination based on phase of the per-port calibrated echo signal.

Abstract: Systems and methods for performing bridge tap detection are described. One embodiment is a method which comprises receiving an echo signal for a loop under test where the echo signal is a per-port calibrated echo response obtained using frequency domain reflectometry single-ended line testing (FDR-SELT). The method further comprises analyzing the echo signal to determine whether differentiating features are present in the per-port calibrated echo signal in order to determine whether the loop under test is a bridge tapped loop.

Abstract: Systems and methods for performing loop gauge detection are described. One embodiment is a method that comprises receiving a calibrated per-port echo signal of a loop under test, receiving a loop length estimation for the loop under test, and estimating the loop gauge of the loop under test if the loop is not determined to be a long loop based on a predetermined threshold and if no bridge tap is present on the loop. In accordance with such embodiments, estimating the loop gauge of the loop under test is based on at least one of the following echo signal features: energy of the echo signal in a predetermined frequency band, information on an envelope of maxima for the echo signal, information on an envelope of minima for the echo signal, and a span of ripples on the amplitude of the echo signal.

Abstract: Systems and methods for performing single-end line testing (SELT) are described. At least one embodiment includes a method for SELT to determine loop characteristics for a loop. The method for performing SELT comprises generating a test signal through a loop to be tested and receiving an echo response. The method further comprises subtracting predetermined near end echo response from the received echo to derive a far end echo response, performing time-dependent scaling on the far end echo response to compensate for loop attenuation, comparing the time-scaled far end echo response to a set of predefined templates, and providing an estimate of loop characteristics by identifying a matching template within the set of predefined templates, wherein the matching template contains information relating to loop characteristics comprising loop length and loop termination.

Abstract: Systems and methods for off-diagonal MIMO precoders are described. At least one embodiment includes a method for precoding data for transmission in a discrete multi-tone (DMT) xDSL system to cancel self-induced far end crosstalk (self-FEXT) comprising: learning characteristics associated with a plurality of N users within the xDSL system to determine an initial off-diagonal multiple input multiple output (MIMO) precoder (ODMP) for a given tone frequency; and converging towards an optimum ODMP from the initial ODMP in order to cancel downstream self-FEXT for the plurality of N users, wherein the ODMP is represented as a zero diagonal matrix with only off-diagonal terms, and wherein the converging towards the optimum ODMP comprises: maximizing the channel capacity for the plurality of N users for the given tone frequency; and minimizing an increase in transmit power of the xDSL system relative to an original transmit power where a precoder is not active.

Abstract: There is provided a method of shaping PSD (Power Spectrum Density) of an FTTN (Fiber-To-The-Node) downstream signal from a disturber source to achieve spectral compatibility at an FTTN downstream victim with a downstream PSD from a reference source. The method includes receiving the downstream PSD from the reference source. The method further includes receiving an unshaped downstream PSD from the disturber source. The method further includes shaping the PSD of the FTTN downstream signal to have a substantially equivalent FEXT (Far-End Cross-Talk) into the FTTN downstream victim as the downstream PSD from the reference source.

Abstract: Included are embodiments for subframe interleaving. At least one embodiment of a method includes receiving at least one subframe, the at least one subframe being derived from a plurality of frames of data and interspersing at least a portion of the at least one subframe according to a predetermined subframe interleaving strategy.

Abstract: Included are embodiments for self protection. At least one embodiment includes Self-protection Unit for protecting a signal that includes a first receiving component configured to receive data, the received data being received as at least one frame and a subframing component configured to subframe at least a portion of the received data, wherein subframing includes converting the at least one into a plurality of subframes. Some embodiments include a subframe interleaver component configured to interleave at least a portion of the subframes.

Abstract: A dual adaptive importance-sampling system and method is provided that can estimate the probability of events by combining dual complementary importance-sampling simulations. The present invention exploits the ability to determine an optimal biased pdf using an iterative procedure that requires relatively little a priori knowledge of how to bias. Hence, the present invention is particularly suited for evaluating the BERs and/or WERs of coded communication and storage systems, and is generally applicable to arbitrarily chosen codes. When applied to coded communication and storage systems, the present invention provides a versatile technique for the fast and accurate estimation of BERs and WERs of FEC codes down to values of 10?20 or lower.